Answer:
28.23%
Explanation:
ABC corporation has a sales of $17,910,000
The net operating income is $1,199,970
The average operating assets is $4,250,000
Therefore, the ROI can be calculated as follows
ROI= Net operating income/Average operating assets
= $1,199,970/$4,250,000
= 0.2823×100
= 28.23%
Hence the division's return on investment is closest to 28.23%
People had been expecting the price level to be 140 but it turns out to be 138. Johnson Family Restaurants increases the number of workers it employs. What could explain this
Answer:
neither sticky wage theory nor sticky price theory
Explanation:
People had been expecting the price level to be 140 but it turns out to be 138. Johnson Family Restaurants increases the number of workers it employs. Sticky wage theory nor sticky price theory could explain this.
What makes wages and prices sticky?Sticky wages are a result of a number of factors, including the minimum wage, employee contracts, labor unions, the efficiency wage theory, and the expense of hiring and terminating employees. It is challenging to exit a recession when wages and prices are stuck, creating a vicious cycle.
A theoretical market condition known as "stickiness" occurs when a certain nominal price resists change. Stickiness, also known as price stickiness, is a term that is frequently used to describe market prices even though it frequently refers to wages.
Many economists think that prices are "sticky" and that they change gradually. According to them, this stickiness indicates that changes in the money supply have an effect on the real economy, causing changes in investment, employment, output, and consumption. Policymakers can take advantage of this effect.
Learn more about stickiness here:
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. A particular parcel of real estate (land) is sold for $20,000,000 and was originally purchased for $10,000,000. On a taxable sale, explain a circumstance (type of investor, intent, entity, etc.) that would pay the following U.S. federal income tax results on the $10,000,000 gain (exclude the 3.8% net investment income tax and any state taxes in the calculation):
Question Completion:
Choices: a. No tax liability on the sale b. $2,000,000 of tax c. $2,960,000 of tax d. $2,100,000 of tax
Answer:
b. $2,000,000 of tax for individuals
Explanation:
Long-term capital gains tax is a tax on profits from the sale of an asset which an investor has held for more than a year. The approved long-term capital gains tax rates are 0%, 15% or 20% depending on your taxable income bracket and whether you are filing as a single or jointly as married. But, an important point to note is that long-term capital gains tax rates are generally lower than short-term capital gains tax rates, thus encouraging investors to hold assets for a longer time. Short-term capital gains tax rates are the rates applicable to the normal individual income tax brackets.
Yellowstone Corporation has just announced the repurchase of $125,000 of its stock. The company has 39,000 shares outstanding and earnings per share of $3.29. The company stock is currently selling for $76.09 per share. What is the price–earnings ratio after the repurchase?
Answer:
The price–earnings ratio after the repurchase is 22.18
Explanation:
First calculate Numbers of new shares
New Shares = Old Shares - ( Repurchased Shares / Price per share )
New Shares = 39,000 - ( $125,000 / $76.09 )
New Shares = 39,000 - 1,642.79
New Shares = 37,357.21 shares
New compute the old earning
Old Earning = EPS x Numbers of old shares = $3.29 x 39,000 = $128,310
New compute revised Earning per share
Revised EPS = Earning / New shares = $128,310 / 37,357.21 shares = $3.43
Now we need to calculate the Price earning ratio
P/E Ratio = Price per share / Revised earning per share = $76.09 / $3.43 = 22.18 times
Drake Manufacturing makes a variety of products, including lawn mowers. 's Lawn Mower Division can use a component, K32, manufactured by 's Electrical Division. The market price for K32 is per unit. The variable cost per unit for K32 in the Electrical Division is $11, while the absorption cost per unit is $12. The divisions at use a negotiated price strategy to set transfer prices between divisions. The Electrical Division has excess capacity. What is the lowest acceptable transfer price to the Electrical Division? What is the highest acceptable transfer price that the Lawn Mower Division would pay?
1. ______the lowest acceptable transfer price to the Electrical Division.
a. $14, the difference between the variable cost and market price.
b. $11, the variable cost.
c. $12, the absorption cost.
d. $25, the market price.
2. ______is the highest acceptable transfer price that the Lawn Mower Division would pay.
a. $14, the difference between the variable cost and market price.b. $11, the variable cost. c. $12, the absorption cost.d. $25, the market price.
Answer:
b. $11, the variable cost.d. $25, the market price.Explanation:
1. The Electrical Division has excess capacity so supplying the Lawn Mower Division can be done and they will still be able to sell to outside customers. They should therefore only charge the variable cost to make component K32 which is $11 as they are in the same company.
2. The highest acceptable transfer price that the Lawn Mower division would pay is the market price of $25. At a price higher than this, it would make no sense to source the component from the Electrical division because the Lawn Mower division could simply source it from the market and save on costs.
Garcia Co. sells snowboards. Each snowboard requires direct materials of $105, direct labor of $35, and variable overhead of $50. The company expects fixed overhead costs of $645,000 and fixed selling and administrative costs of $111,000 for the next year. It expects to produce and sell 10,500 snowboards in the next year.
Required:
What will be the selling price per unit if Garcia uses a markup of 15% of total cost?
Answer:
Selling price = $301.3
Explanation:
The selling price would be determined by adding the total unit cost to the mark- up.
Mark up is the proportion of cost that is to be earned as profit.
Selling price = Total unit cost + Profit
Profit = 25% × unit cost
Selling price = Unit cost + Mark-up
Selling price = Unit cost + (15%× unit cost)
Total unit cost =Variable cost + unit fixed cost
Total fixed cost = 645,000 + 111,000 = 756,000
Unit fixed cost = $756,000 /10,500 =×72
Total unit cost = 105 + 35 + 50 + 72 = 262
Selling price = 262 + ( 15% + 262) = 301.3
Selling price = $301.3
Hughey Co. as lessee records a capital lease of machinery on January 1, 2011. The seven annual lease payments of $350,000 are made at the end of each year. The present value of the lease payments at 10% is $1,704,000. Hughey uses the effective-interest method of amortization and sum-of-the-years'-digits depreciation (no residual value). Round to the nearest dollar.
a) Prepare an amortization table for 2 011 and 2012.
b) Prepare all of Hughey's journal entries for 2011.
Answer:
Both requirements are solved below
Explanation:
An amortization table can be made as follows
DATA
Lease term = 7years
annual lease payments = $350,0000
Present value of the leases payment = $1,704,000
Implicit interest rate = 10%
Requirement A Amortization table for 2011 and 2012
Date Annual payment Effective decreased Balance
interest liability $1,704,000
12/31/11 $350,000 $170,400 $179,600 $1524,400
12/31/12 $350,000 $152,440 $197,560 $1,326,840
Requirement B journal entries for 2011
January 1
Entry
DEBIT CREDIT
Leased machinery $1,704,000
Lease liability $1,704,000
December 31
Entry
DEBIT CREDIT
Interest expense $170,400
Lease liability $179,600
Cash $350,000
December 31
Entry
DEBIT CREDIT
Depreciation expense(w) $426,000
Accumulated depreciation $426,000
Working
Sum of the years = (7+6+5+4+3+2+1) = 28
Cost = $1,704,000
Residual value = $0
Estimated life = 7years
Depreciation expense = $1,704,000 x 7/28
Depreciation expense = $426,000
You want to make a one-time deposit today that will increase in value to $100 at the end of this year. Which rate of interest will allow you to deposit the least amount today to reach this goal
Answer:
The rate of interest is 11.111%
The Deposit should be $90 today.
The future value at the end of this year will be $100.
Explanation:
Future value of $100
Present value of $100 at 11.111% = $100/11.111 = $90
The future value of a deposit today is the value after a period of one year or so periods. The rate of interest produces the discount factor that can calculate the present value of $100. To make a one-time deposit of $90 today will increase in value to $100 using an interest rate of 11.111%.
Which of the following statements are TRUE regarding the sale of a long position in a restricted long margin account?
I. 50% of the proceeds of the sale are credited to SMA
II. 100% of the proceeds of the sale are credited to SMA
III. There is a 0% retention requirement of the sale for a restricted account
IV. There is a 50% retention requirement of the sale for a restricted account
a. I and III
b. I and IV
c. II and III
d. II and IV
Answer:
b
Explanation:
50% of the proceeds of the sale are credited to SMA
and
There is a 50% retention requirement of the sale for a restricted account
A firm has a debt-to-equity of 0.69 and a market-to-book ratio of 3.0. What is the ratio of the book value of debt to the market value of equity?
Answer:
0.23
Explanation:
Debt to Equity Ratio = Total debt/ Total common equity
Market to book Ratio = Market price per share / Book value per share
Book debt to Market equity Ratio = Debt to Equity Ratio / Market to book Ratio
Book debt to Market equity Ratio = 0.69 / 3
Book debt to Market equity Ratio = 0.23
Therefore, the ratio is 0.23
A cloth manufacturing firm is deciding whether or not to invest in new machinery. The machinery costs $45,000 and is expected to increase cash flows in the first year by $25,000 and in the second year by $30,000. The firm’s current fixed costs are $9,000 and current marginal cost are $15. The firm currently charges $18 per unit.
Required:
If the interest rate is 5% then. what is the present value of the cash flows?
Answer:
$51,020.40
Explanation:
We use the formula PV = FV * (1 + r)^n for finding the present value
There are two cash flows, one that occur in year 1 at $25,000 and second that occur in year 2 at $30,000.
Find the PV of this cash flow at r = 5% and n = 1 and 2 =
25000(1+5%)^-1 + 30000(1 + 5%)^-2
25,000(1+0.05)^-1 + 30,000(1 + 0.05)^-2
25,000(1.05^)-1 + 30,000(1.05)^-2
25,000(0.952381) + 30,000(0.907029)
23,809.525 + 27,210.87
=$51,020.40
Thus, the present value of the cash flows is $51,020.40
Discounted payback period. Given the following two projects and their cash flows, LOADING..., calculate the discounted payback period with a discount rate of %, %, and %. What do you notice about the payback period as the discount rate rises? Explain this relationship. With a discount rate of %, the cash outflow for project A is:
Answer:
the numbers are missing, so I looked for a similar question:
Cash Flow A B
Cost $10,000 $105,000
Cash flow year 1 $3,571 $21,000
Cash flow year 2 $3,571 $10,500
Cash flow year 3 $3,571 $42,000
Cash flow year 4 $3,571 $31,500
Cash flow year 5 $3,571 $5,250
Cash flow year 6 $3,571 $0
With a discount rate of 5%, 10% & 15%
Discounted cash flows for project A:
5% 10% 15%
Cost $10,000
Cash flow year 1 $3,571 $3,401 $3,246 $3,105
Cash flow year 2 $3,571 $3,239 $2,951 $2,700
Cash flow year 3 $3,571 $3,085 $2,683 $2,348
Cash flow year 4 $3,571 $2,938 $2,439 $2,042
Cash flow year 5 $3,571 $2,798 $2,217 $1,775
Cash flow year 6 $3,571 $2,665 $2,016 $1,544
discounted payback period:
5% = 3.09 years
10% = 3.46 years
15% = 3.9 years
The higher the discount rate, the longer the discounted payback period.
Discounted cash flows for project B:
5% 10% 15%
Cost $105,000
Cash flow year 1 $21,000 $20,000 $19,091 $18,261
Cash flow year 2 $10,500 $9,524 $8,678 $7,940
Cash flow year 3 $42,000 $36,281 $31,555 $27,616
Cash flow year 4 $31,500 $25,915 $21,515 $18,010
Cash flow year 5 $5,250 $4,114 $3,260 $2,610
discounted payback period:
5% = more than 5 years, the project's NPV is negative -$9,166.37
10% = more than 5 years, the project's NPV is negative -$20,901.42
15% = more than 5 years, the project's NPV is negative -$30,563.54
Excellent Manufacturers Inc. has a current production level of 20,000 units per month. Unit costs at this level are: Direct materials $0.26 Direct labor 0.40 Variable overhead 0.16 Fixed overhead 0.21 Marketing − fixed 0.25 Marketing/distribution − variable 0.42 Current monthly sales are 18,000 units. Jax Company has contacted Excellent about purchasing 1,550 units at $2.00 each. Current sales would NOT be affected by the one−time−only special order, and variable marketing/distribution costs would NOT be incurred on the special order. What is Ratzlaff Company's change in operating profits if the special order is accepted?
Answer:
The increase in operating profit is $1,829.00.
Explanation:
The rise or fall in the operating income:
= Purchase unit × ( offer price- direct material- direct labor- variable overhead)
The rise or fall in the operating income: = 1550× (2 - 0.26 - 0.4 - 0.16)
The rise or fall in the operating income: = $1829
Therefore the profit will increase by $1829
Here all the fixed cost is not considered because it is a sunk cost and variable and administrative expenses are also not considered because these costs are not going to be incurred for offer.
A self-employed client has an annual income of $200,000 and is in a high tax bracket. He is not covered by a retirement plan and would like to make the maximum contribution to one to reduce his taxable income. He believes that he will be in a lower tax bracket once he retires. The BEST recommendation is to contribute to a:
Answer:
Simplified Employee Pension IRA (SEP)
Explanation:
Simplified employee pension IRA is most suitable for this client because it is easy to set up and operate. Most importantly it requires a maximum of 20% of the contributor's income. The amount required is capped at $54,000.
In this case 20% of the employee's income is 0.20 * 200,000 = $40,000
So this is a right fit.
Roth IRA will not work because maximum contribution is $5,500
Traditional IRA will also not work because it requires a maximum contribution of $5,500 or when it is a 401(k) plan a maximum of $18,000. It is also expensive to set up and operate as it is designed for big companies.
Empirical evidence from 1960 to 2010 shows that convergence in economic growth is occurring in which of the following cases?
a. All low-income countries are catching up to all high-income countries.
b. Low-income industrial countries are catching up to high-income developing countries.
c. Low-income developing countries are catching up to high-income industrial countries.
d. Low-income industrial countries are catching up to high-income industrial countries.
Answer:
Correct Answer:
c. Low-income developing countries are catching up to high-income industrial countries.
Explanation:
The evidence which shows that low income developing countries are catching up to high-income industrial countries could be found in the series of developmental strides made by some countries like Rwanda, Kenya, Tanzania, Indonesia, Vietnam etc over the years. Most of their achievements is at par with most European countries in different sectors such as educational, and social sectors.
You must decide between $25,000 in cash today or $30,000 in cash to be received two years from now. If you can earn 8 percent interest on your investments, which is the better deal?
Answer:
The deal to receive $30000 is better.
Explanation:
To find the better deal we need to calculate the present value of $30000 and then compare it with the amount $25000. If the amount is greater than the $25000, then the amount should be received after the 2 years.
The given time period (n )= 2
Interest rate (r ) = 8%
The amount received after 2 years = $30000
[tex]\text{Present value of money} = \frac{Future \ value}{(1 + r)^n } \\= \frac{30000}{(1+0.08)^2} \\= $25720.16[/tex]
Since the amount is more than $25000 so the deal to receive the money after 2 years will be better.
Food Shoppe Galore had the following information: Total market value of a company’s stock: $650 million Total market value of the company’s debt: $150 million What is the weighted average of the company’s debt?
Answer:
18.75%
Explanation:
Food Shoppe galore has a total market value stock of $650 million
The total market value of the company's debt is $150 million
The first step is to calculate the total market value of the company's capital
= $150,000,000 + $650,000,000
= $800,000,000
Therefore, the weighted average of the company's debt can be calculated as follows
= $150,000,000/$800,000,000
= 0.1875×100
= 18.75%
Hence the weighted average of the company's debt is 18.75%
A large furniture and appliance rental business is considering sponsorship options. It has brought together vice-presidents from the various functional areas of the company to determine which sponsorships will most effectively reach the rental company's prospective customers. The rental company has established a:
a. cross-functional team
b. horizontally-organized team
c. vertically-organized team
d. problem-resolution team
e. project committee
Answer:
a. cross-functional team
Explanation:
In this case, the most appropriate is the use of a cross-functional team.
This team is formed by several professionals with knowledge, techniques, skills and resources to help the company achieve its goals and objectives.
The benefits of forming a cross-functional team is to aggregate the potential of each member in a common objective, which ensures greater flexibility of ideas, greater innovation, greater exchange of experiences, which guarantees greater team engagement, greater possibility of designing solutions and greater efficiency in organizational processes.
Which of the following do you NOT include when calculating the closing balance of PP&E?
a) Cash capital expenditures
b) PP&E acquired through acquisitions
c) PP&E acquired under capital or financing leases
d) Changes in working capital
Answer:
d) Changes in working capital
Explanation:
the formula used for calculating net PP&E is:
Net PP&E = gross PP&E + capital expenditures - accumulated depreciation
PP&E represents fixed assets (plant, property, and equipment).
On the other hand, working capital involves current assets and liabilities such as cash, accounts receivables, accounts payable, inventories, taxes payable, etc.
Canadian logging companies sell timber in the United States. To the U.S., the timber is a(n)_____, and for Canadians, the timber is a(n) _____.
Answer: import; export
Explanation:
Canadian logging companies sell timber in the United States. To the U.S., the timber is an import, and for Canadians, the timber is an export.
An import is a good that is brought into a country and sold from another country while an export is a good that a country sells to other country. Timber is a export to the United States since it's brought from Canada.
Buckson Framing's cost formula for its supplies cost is $1,350 per month plus $18 per frame. For the month of June, the company planned for activity of 716 frames, but the actual level of activity was 713 frames. The actual supplies cost for the month was $14,820. The supplies cost in the flexible budget for June would be closest to:
Answer:
c. $ 14,238
Explanation:
Computation of costs in the flexible budget
Planned activity 716 units
Budgeted cost per unit $ 18 per frame
Total planned variable cost - 716 units * $ 18 $ 12,888
Fixed monthly cost $ 1,350
Total supplies cost in flexible budget for June $ 14,238
The other information regarding the actual costs and actual production are not required for determining the budgted cost for supplies.
The federal government has the legal authority to prevent a company from adding products through acquisitions if the acquisition threatens to lessen competition.
A. True
B. False
Answer:
True
Explanation:
One way of determining if acquisitions would lessen competition is through the calculation of the HHI. if the HHI of the industry is more than 1500 before the acquisition and the HHI changes by more than 50 after the acquisition, the government would challenge the merger
The Bob Buckham Senior Center, a not-for-profit entity, serves a hot meal to senior citizens every Friday evening. All the food is donated by a local supermarket. All the food preparation and serving is done by local volunteers. If the Center had to pay for the food, it would need to spend $10,000 a year. If it had to pay for the food preparation and service, it would need to spend $12,000 a year. How should it report these contributions in its financial statements?
Food | Food preparation and service
a. Disclose in the notes | Disclose in the notes
b. Disclose in the notes | Report $12,000 revenue and expense
c. Report $10,000 revenue and expense | Disclose in the notes
d. Report $10,000 revenue and expense | Report $12,000 revenue and expense
Answer:
c. Report $10,000 revenue and expense | Disclose in the notes
Explanation:
Not-for-profit entities must report the fair value of all the goods they receive as donations. in this case, they would have to report the $10,000 worth of food received from a local supermarket. But they are not required to report the value of volunteer work, they only have to disclose it on the footnotes of their financial statements.
Sonny's BBQ Company recently issued $85 par value preferred stock that pays an annual dividend of $9. Analysts estimate that the stock has a beta of 1.01. The current T-bill rate is 2.4%. The S&P 500's expected return is 12.1%. Assuming that CAPM holds, what is the intrinsic value of this preferred stock?
Answer:
Intrinsic value=$73.77
Explanation:
The Dividend Valuation Model(DVM) is a technique used to value the worth of an asset.
According to this model, the value of an asset is the sum of the present values of the future cash flows would that arise from the asset discounted at the required rate of return.
Price = D/Kp
D- Dividend payable
Kp- cost of preferred stock
So will need to work out the cost of equity using CAPM
The capital asset pricing model (CAPM): relates the price of a share to the market risk or systematic risk. The systematic risk is that which affects all the all the economic agents, e.g inflation, interest rate e.t.c
This model is considered superior to DVM. Hence, we will use the CAPM
Using the CAPM , the expected return on a asset is given as follows:
E(r)= Rf +β(Rm-Rf)
E(r) =? , Rf- 2.4%, Rm- 12.1% β- 1.01
E(r) = 2.4% + 1.23×(12.1- 2.4)% = 12.20 %
Cost of preferred stock= 12.20 %
Using the dividend valuation model
Intrinsic value = 9/0.1220=73.77
Intrinsic value=$73.77
If the current interest rate is 5% and your semi-annual coupon paying bond has a duration of 5.33 years, how much will the price of the bond change if the interest rate increases by 1 basis point?
Answer:
Percentage change in price = -5.33 * 0.00005
Explanation:
Percentage change in price = - modified duration * (Change in yield in BP/100)
Percentage change in price = -5.33 * ((0.01/2)/100)
Percentage change in price = -5.33 * (0.005/100)
Percentage change in price = -5.33 * 0.00005
Which of the following statements regarding fiscal policy are true according to the macroeconomic consensus in the United States?
a. Congress, not the Federal Reserve, should be in charge of monetary policy.
b. Expansionary monetary policies should be used to keep unemployment below its natural rate.
c. Monetary policy should focus on price stability.
Answer: Monetary policy should focus on price stability.
Explanation:
The statements regarding fiscal policy that is true according to the macroeconomic consensus in the United States is that monetary policy should focus on price stability.
The statements that Congress, not the Federal Reserve, should be in charge of monetary policy and that Expansionary monetary policies should be used to keep unemployment below its natural rate are both wrong.
Use goal seek to answer this question. All else equals, to have a net income of 20,000, the COGS margin percentage must be ______, and the gross profit must be ______. Review Later
Answer:
Use goal seek to answer this question. All else equals, to have a net income of 20,000, the COGS margin percentage must be 40%, and the gross profit must be $17,250.
Explanation:
The income statement is missing, so I looked it up and the information given was:
Revenue 100,000 COGS 40,000 Gross Profit 60,000 Salaries Marketing Rent Earnings Before Tax 23,000Income Tax 25% Net Income ?Since COGS are$40,000 and total sales are $100,000, the COGS margin percentage = 40,000 / 100,000 = 40%
Since earnings before taxes are $23,000 and taxes are 25%, then net income = $23,000 x (1 - 25%) = $23,000 x 75% = $17,250
If an economist wishes to determine whether there is evidence that average family incomes in a community exceeds $25,000:_______
a. either a one-tailed or two-tailed test could be used with equivalent results.
b. a one-tailed test should be utilized.
c. a two-tailed test should be utilized.
d. None of the above.
Answer: one tailed test should be utilized
Explanation:
From the question, we are informed that an economist wishes to determine whether there is evidence that average family incomes in a community exceeds $25,000.
A one tailed test should be utilized because the region of rejection will just have to be based on one side.
An increase in input prices causes:___________
a) the market supply to shift inward, driving the equilibrium price downward.
b) the market supply to shift outward, leading to a higher equilibrium price.
c) the market supply to shift inward, driving the equilibrium price higher.
d) the supply curve to decrease and the demand curve to decrease.
Answer: the market supply to shift inward, driving the equilibrium price higher.
Explanation:
An increase in input prices will result into a rise in the production costs. This will result in a leftward shift of the supply curve.
Therefore, the market supply will shift inward, driving the equilibrium price higher. This simply means that there will be lesser supply of the product and hence, increase in price.
Expected return and standard deviation. Use the following information to answer the questions: LOADING.... a. What is the expected return of each asset? b. What is the variance of each asset? c. What is the standard deviation of each asset? Hint: Make sure to round all intermediate calculations to at least seven (7) decimal places. The input instructions, phrases in parenthesis after each answer box, only apply for the answers you will type. a. What is the expected return of asset A?
Answer and Explanation:
a. The computation of expected return of each assets is shown below:-
Expected Return on Asset A in state is
= 0.39 × 0.02 + 0.45 × 0.02 + 0.16 × 0.02
= 0.02
Expected Return on Asset B in state is
= 0.39 × 0.25 + 0.45 × 0.06 + 0.16 × -0.04
= 0.1181
Expected Return on Asset C in state is
= 0.39 × 0.35 + 0.45 × 0.19 + 0.16 × -0.22
= 0.1868
b. The computation of variance of each asset is shown below:-
Variance of Assets A is
= 0.39 × (0.02 - 0.020)^2 + 0.45 × (0.02 - 0.020)^2 + 0.16 × (0.02 - 0.020)^2
= 0
Variance of Assets B is
= 0.39 × (0.25 - 0.1181)^2 + 0.45 × (0.06 - 0.1181)^2 + 0.16 × (-0.04 - 0.1181)^2
= 0.0123
Variance of Assets C is
= 0.39 × (0.35 - 0.1868)^2 + 0.45 × (0.19 - 0.1868)^2 + 0.16 × (-0.22 - 0.1868)^2
= 0.0369
c. The computation of standard deviation of each asset is shown below:-
Standard Deviation of A is
= (0.39 × (0.02 - 0.020)^2 + 0.45 × (0.02 - 0.020)^2 + 0.16 × (0.02 - 0.020)^2)^0.5
= 0
Standard Deviation of B is
= (0.39 × (0.25 - 0.1181)^2 + 0.45 × (0.06 - 0.1181)^2 + 0.16 × (-0.04 - 0.1181)^2)^0.5
= 0.1109
Standard Deviation of C is
= (0.39 × (0.35 - 0.1868)^2 + 0.45 × (0.19 - 0.1868)^2 + 0.16 × (-0.22 - 0.1868)^2)^0.5
= 0.1920
An assembly line with 17 tasks is to be balanced. The longest task is 2.4 minutes, and the total time for all tasks is 18 minutes. The line will operate for 450 minutes per day.Required:a. What are the minimum and maximum cycle times? b. What range of daily output is theoretically possible for the line? c. What is the minimum number of workstations needed if the maximum output rate is to be sought?d. What cycle time will provide an output rate of 125 units per day?
Answer
a)Minumum cycle time = 2.4 Minutes And Maximum cycle time = 18 Minutes
b)=187.5 units per day and 25 units per day
c) 8 workstation
d)2.6min/cycle
Explanation:
Given:
output rate = 125 units per day
Operating time= 450 minutes per day
What are the minimum and maximum cycle times?
Minimum Cycle time = duration of the longest task
Therefore,Minimum cycle time = 2.4 minutes
Maximum cycle time = addition of the task
Maximum Cycle Time = 18 minutes
Therefore, Minumum cycle time = 2.4 Minutes And Maximum cycle time = 18 Minutes
B)B)What range of daily output is theoretically possible for the line?
Range of daily output = Operating time / minimum Cycle time
At 2.4 minutes Cycletime
= 450/2.4
=187.5 units per day
At Cycle time 18 Minutes
= 450/18
Cycle time 18 minutes = 25 units per day
C)What is the minimum number of workstations needed if the maximum output rate is to be sought?
number of workstation=(D× summation of all task)/Operating time
number of workstation=(187.5*18)/450
= 7.5= 8 workstation
D)What cycle time will provide an output rate of 125 units per day?
cycle time= Operating time/output rate
=450/125
= 2.6min/cycle
