Answer: Gain on bond retirement = $66,000
Explanation:
A gain on retirement of bonds occurs when a bond issuer or a corporation buys back bonds which it previously sold for an amount less than the book value of the particular liability while a loss would be recognized if the bought back bonds are more than the amount of the book value of the liability.
Book value / Carrying value = $1,200,000 + $126,000 =$1,326,000
paid at redemption = $1,200,000 x 105%= $1, 260,000
Gain on bond retirement = Book/ Carrying value -Amount paid at redemption
= $1,326,000 - $1, 260,000 = $66,000
Consider the case of a good with external benefits. If you plant trees in front of your house, the neighborhood is more attractive, and trees create shade, provide oxygen, and a home for birds and squirrels. Thus the benefits to society are greater than the benefits to you. If the planting of trees is a private choice, you will plant too few trees relative to the socially optimal quantity, because the private value to you is less than the social value.
1. Which of the following would not help to correct this problem?
a. Subsidize consumer purchases of trees to plant.
b. Tax homeowners who plant trees.
c. Subsidize nurseries that sell trees for planting.
d. Have the government provide trees to homeowners.
e. All of the above would help to correct the problem.
2. If the government pays for a program to increase the planting of trees, who will win and lose from the program?
Winners will be:_________.
a. producers
b. society as a whole
c. taxpayers
d. consumers
Losers will be:_________.
a. producers
b. society as a whole
c. consumers
d. taxpayers
3. The gains to the winners will be ___________ the losses to the losers.
greater than - equal to - less than
Answer:
b. Tax homeowners who plant trees.
b. society as a whole
d. taxpayers
greater than
Explanation:
A good has positive externality if the benefits to third parties not involved in production is greater than the cost. an example of an activity that generates positive externality is research and development. Due to the high cost of R & D, they are usually under-produced. Government can encourage the production of activities that generate positive externality by granting subsidies.
Taxing homeowners who plant trees would increase the cost of planting and thus discourage planting
Everyone would benefit from a project that generates positive externality.
If the government pays for a program to increase the planting of trees, the cost would be borne by taxpayers. So, they lose
A 12-year capital lease specifies equal minimum annual lease payments. Part of this payment represents interest and part represents a reduction in the net lease liability. The portion of the minimum lease payment in Year 10 applicable to the reduction of the net lease liability should be:
Answer:
More than in year 8
Explanation:
A capital lease is a type of lease in which the lesser financed only the asset and all other ownership rights would be transferred to the lessee
In the given situation, the 12-year capital lease is equivalent to the annual lease payment at minimum cost
This payment involves the interest and the reduction amount
Now in the year 10 the reduction made to the lease liability should be more than in the year 8
"A $10,000 municipal bond with 10 years to maturity is purchased in the primary market at 105. The bond is sold after 4 years at 105. The taxable gain or loss is a:"
Answer:
2 point capital gain
Explanation:
Every municipal bond that is purchased at premium is subject to straight line depreciation, whether the premium be trading premium or original issue premium.
Here the premium is 5 points = 105 - 100
Which shall be amortised over its useful life of 10 years.
Thus, for each year 1/2 point is amortised without allowing any tax deduction.
Thus, after 4 years total amortisation = [tex]\frac{1}{2} \times 4years = 2[/tex]
Thus, value at end of year 4 = 105 - 2 = 103 basis point.
Further the selling amount = 105 basis point.
Thus, 105 - 103 = 2 basis point shall be taxable.
You buy a stock for $55 today, and sell the stock one year later for $54, during which time a $2 dividend is paid. What is your return on this stock
Answer:
1.82%
Explanation:
Calculation for the return on the stock
Using this formula
Return=(Sales of stock - Stock bought today+Dividend)/Sales of stock
Let plug in the formula
Return = (54 - 55 + 2)/55
Return =1/55
Return = 0.0182×100
Return=1.82%
Therefore the return on the stock will be 1.82%
Problem 14-13 Calculating the WACC [LO3] Dinklage Corp. has 4 million shares of common stock outstanding. The current share price is $70, and the book value per share is $9. The company also has two bond issues outstanding. The first bond issue has a face value of $75 million, a coupon rate of 7 percent, and sells for 95 percent of par. The second issue has a face value of $60 million, a coupon rate of 6 percent, and sells for 107 percent of par. The first issue matures in 25 years, the second in 8 years. Suppose the most recent dividend was $4.30 and the dividend growth rate is 4.5 percent. Assume that the overall cost of debt is the weighted average of that implied by the two outstanding debt issues. Both bonds make semiannual payments. The tax rate is 21 percent. What is the company’s WACC? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Answer:
WACC = 8.97%
Explanation:
total value of equity = $70 x 4,000,000 = $280,000,000
cost of equity:
$70 = $4.4935 / (Re - 4.5%)
Re - 4.5% = 6.42%
Re = 10.92%
total value of debt:
$75 million x 0.95 = $71,250,000
YTM = {70 + [(1,000 - 950)/25]} / [(1,000 + 950)/2] = 72 / 975 = 7.3846%
$60 million x 1.07 = $64,200,000
YTM = {60 + [(1,000 - 1,070)/8]} / [(1,000 + 1,070)/2] = 51.25 / 1,035 = 4.9517%
weighted cost of debt = ($71,250,000 / $135,450,000 x 7.3846%) + ($64,200,000 / $135,450,000 x 4.9517%) = 3.8845% + 2.347% = 6.2315%
total value of the firm = $280,000,000 + $135,450,000 = $415,450,000
equity weight = $280,000,000 / $415,450,000 = 0.674
debt weight = 1 - 0.674 = 0.326
WACC = (0.674 x 10.92%) + (0.326 x 6.2315% x 0.79) = 7.36% + 1.605% = 8.965% = 8.97%
A company can shorten its cash cycle by: __________
a. Reducing inventory turnover
b. Reducing account payables
c. Reducing days receivable
d. None of the above
Answer:
None of the above
Explanation:
Companies can shorten their cash cycles by turning over their inventory faster. The quicker a company sells its goods, the sooner it takes in cash from cash and credit card sales and begins its accounts receivable aging. Inventory turnover has no impact on the cash cycles of service companies with no inventory.
Answer:
C is the answer (I think)
A(n) ________ is designed to build customer goodwill, collect customer feedback, and supplement other sales channels rather than sell the company's products directly.
Answer: a corporate website
Explanation: A corporate website is one that is designed to build customer goodwill, collect customer feedback, and supplement other sales channels rather than sell the company's products directly. It is also known as a brand website. However, a marketing website will engage consumers in interactions that will move them closer to a direct purchase or some other marketing outcome .
Using the one-period valuation model, assuming a year-end dividend of $1.00, an expected sales price of $100, and a required rate of return of 5%, the current price of the stock would be
Answer:
Price of stock = $96.19
Explanation:
According to the dividend valuation model , the current price of a stock is the present value of the expected future dividends discounted at the required rate of return
This principle can be applied as follows:
The value of cash flow the stock today is the present value of the future cash flow discounted at the required rate of return
Price of stock = D1/(1+r) + P/(1+r)
D1= dividend in year 1
r- discount rate - 5%
P- Price in year 1
DATA
D1- 1,
r- 5%
P- 100
Price of stock = 1/(1.05) + 100/(1.05) = 96.19
Price of stock = $96.19
A company purchased an asset for $3,200,000 that will be used in a 3-year project. The asset is in the 3-year MACRS class. The depreciation percentage each year is 33.33 percent, 44.45 percent, and 14.81 percent, respectively. What is the book value of the equipment at the end of the project
Answer:
$237,120
Explanation:
year depreciation % depreciation expense book value
1 33.33% $1,066,560 $2,133,440
2 44.45% $1,422,400 $711,040
3 14.81% $473,920 $237,120
the book value at the end of the project's life = $237,120, which is equivalent to 7.41% (the fourth year according to MACRS depreciation)
The following accounts are from last year's books of Sharp Manufacturing: Raw Materials Bal 0 (b) 154,800 (a) 166,000 11,200 Work In Process Bal 0 (f) 513,200 (b) 132,400 (c) 168,800 (e) 212,000 0 Finished Goods Bal 0 (g) 464,000 (f) 513,200 49,200 Manufacturing Overhead (b) 22,400 (e) 212,000 (c) 26,400 (d) 156,800 6,400 Cost of Goods Sold (g) 464,000 Sharp uses job-order costing and applies manufacturing overhead to jobs based on direct labor costs. What is the amount of direct materials used for the year
Answer:
$132,400
Explanation:
Based on the information given we were told that Sharp make use of job order costing as well as applies manufacturing overhead to jobs which are often based on the direct labor costs, which simply means the amount of direct materials that is been used for the year will be a debit amount of $132,400 in the work in process .
Therefore the amount of direct materials used for the year will be $132,400
g If the risk-free rate is 5%, return on the market is 8%, and beta is 0.5, a stock with a return of 7% is likely: Group of answer choices Correctly valued Undervalued None of the options Overvalued
Answer:
The stock is undervalued. As the required rate of return (6.5%) on market is less than the actual return (7%), the stock is said to be undervalued as it provides an actual return greater than the required rate of return.
Explanation:
To check if a stock is over valued, undervalued or correctly valued, we simply compare the required rate of return on a stock as measured by CAPM with the actual return on the stock.
We can calculate the required rate of return using CAPM equation. The formula for required rate of return under CAPM is,
r = rRf + Beta * (rM - rRF)
Where,
rRf is the risk free raterM is the return on marketr = 0.05 + 0.5 * (0.08 - 0.05)
r = 0.065 or 6.5%
As the required rate of return on market is less than the actual return, the stock is said to be undervalued as it provides an actual return greater than the required rate of return.
Answer:
Undervalued
Explanation:
to determine if the stock is overvalued or undervalued, we have to determine the expected rate of return using the CAPM and compare it with the return of the stock
Expected rate of return = risk free + beta x (market rate of return - risk free rate of return)
5% + 0.5(8% - 5%) = 6.5%
the stock is undervalued because 6.5% is less than 7%
Richards Corporation uses the FIFO method of process costing. The following information is available for October in its Fabricating Department: Units: Beginning Inventory: 80,000 units, 60% complete as to materials and 20% complete as to conversion. Units started and completed: 250,000. Units completed and transferred out: 330,000. Ending Inventory: 30,000 units, 40% complete as to materials and 10% complete as to conversion. Costs: Costs in beginning Work in Process - Direct Materials: $37,200. Costs in beginning Work in Process - Conversion: $79,700. Costs incurred in October - Direct Materials: $646,800. Costs incurred in October - Conversion: $919,300. Calculate the cost per equivalent unit of conversion.
Answer:
$2.90 per equivalent unit of conversion
Explanation:
equivalent units of conversion (under FIFO) = [units in beginning inventory x ( 1 - previous conversion rate)] + units started and completed + (units in ending inventory x conversion rate) = [80,000 x (1 - 20%)] + 250,000 + (30,000 x 10%) = 64,000 + 250,000 + 3,000 = 317,000 units
cost per equivalent unit of conversion = total conversion costs / total equivalent units of conversion = $919,300 / 317,000 units = $2.90 per equivalent unit
if average daily demand for an item is 15 units safety stock is 55 units and lead time is three days the rop will be
Answer:ROP= Reorder Point = 100
Explanation:
Reorder Point (ROP), also called reorder level, is the level of inventory which causes that the stock of a business is replenished. When a stock is being utilized and reaches a set amount by a firm, it holds that such item be reordered or replenished.
ROP= Reorder Point = (Average Daily Usage x Average Lead Time in Days) + Safety Stock
=(15 x 3) + 55 = 100
This means that when the inventory level of stock falls to 100, the commodity or item should be reordered.
If an investor put away $3000 at age 23 rather than age 31, how much more money would he or she have at age 63, assuming a 9 percent compound rate of return?
Answer:
FV= $94,228.26
Explanation:
Giving the following information:
Present Value= $3,000
Interest rate= 9% compounded annually
Number of years= 63 - 23= 40 years
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 3,000*(1.09^40)
FV= $94,228.26
Sarah takes out a loan today for $26,000 at an interest rate of 2 percent a year. She plans to repay the loan after 5 years. How much will he have to pay?
Sarah will have to pay:__________
Answer:
$28,706.10
Explanation:
The computation of the amount of pay is shown below:
Here we have to find the future value by using the following formula
Future value = Present value × (1 + interest rate)^number of years
= $26,000 × (1 + 0.02)^5
= $28,706.10
We simply applied the above formula so that the amount of pay could be come and the same is to be considered
Trevor Company discloses supplementary operating segment information for its three reportable segments. Data for 20X8 are available as follows:
Segment A Segment B Segment C
Sales $500,000 $300,000 $200,000
Traceable operating
expenses 250,000 120,000 90,000
Allocable costs for the year was $180,000. Allocable costs are assigned based on the ratio of a segment's income before allocable costs to total income before allocable costs. The 20X8 operating profit for Segment B was:_______.
A) $180,000.
B) $120,000.
C) $126,000.
D) $110,000.
Answer:
The correct answer is B.
Explanation:
Giving the following information:
Segment A Segment B Segment C
Sales $500,000 $300,000 $200,000
Traceable operating expenses 250,000 120,000 90,000
Profit= 250,000 180,000 110,000 = 540,000
Allocable costs for the year was $180,000.
First, we need to allocate costs to Segment B:
Segment B= 180,000/540,000= 0.33
Allocate= 0.33*180,000= 60,000
Now, we can calculate the profit:
Segment B profit= 180,000 - 60,000= 120,000
"PowerSurge, a company selling batteries in a monopolistically competitive market, collected the data below of revenues and costs. Assuming the firm is producing at the profit-maximizing level of output, calculate total profit for PowerSurge."
Answer:
Since the firm is maximizing its profit, it is producing and selling 40 units at $30 per unit, resulting in a net profit of $440.
Explanation:
Sine there is no information, I searched for a similar question:
Q Sales revenue Total costs Profit
10 $450 $340 $110
20 $800 $480 $320
30 $1,050 $620 $430
40 $1,200 $760 $440
50 $1,250 $900 $350
60 $1,200 $1,040 $160
70 $1,050 $1,180 -$130
80 $800 $1,320 -$520
90 $450 $1,460 -$1,010
1. Depreciation on the equipment for the month of January is calculated using the straight-line method. At the time the equipment was purchased, the company estimated a residual value of $4,200 and a two-year service life.
2. At the end of January, $23,000 of accounts receivable are past due, and the company estimates that 30% of these accounts will not be collected. Of the remaining accounts receivable, the company estimates that 3% will not be collected.
3. Accrued interest expense on notes payable for January.
4. Accrued income taxes at the end of January are $14,200.
5. By the end of January, $4,200 of the gift cards sold on January 2 have been redeemed
Prepare an adjusted trial balance as of January 31, 2018
Answer:
1 Depreciation expeense (Debit) $4,200
Accumulated depreciation (Credit) $4,200
2.Bad Debt expense (Dr.) $6,900
Accounts Receivables (Cr.) $6,900
3. Accrued Interest Expense (Dr.) $1,200
Notes Payable (Cr.) $1,200
4. Accrued Income Tax (Dr.) $14,200
Cash (Cr.) $14,200
5. Cash (Dr.) $4,200
Redemption of Gift Cards (Cr.) $4,200
Explanation:
Depreciation expense is considered as a tax shield. The larger the depreciation expense, the lower will be the taxable income. The adjusting entries are required before trial balance is created. There are few transaction that occur after the initial recording of the transactions. These transaction needs to be adjusted before the financial statements preparation.
When the Depreciation expense is considered as a tax shield and also The larger the depreciation expense, then the lower will be the taxable income.
What is Depreciation?
The term depreciation directs to an accounting method utilized to allocate the cost of a tangible or physical asset over its useful life.
1. Depreciation expense (Debit) $4,200
Accumulated depreciation (Credit) $4,200
2. Bad Debt expense (Dr.) $6,900
Accounts Receivables (Cr.) $6,900
3. Accrued Interest Expense (Dr.) $1,200
Notes Payable (Cr.) $1,200
4. Accrued Income Tax (Dr.) $14,200
Cash (Cr.) $14,200
5. Cash (Dr.) $4,200
Redemption of Gift Cards (Cr.) $4,200
Depreciation expense is considered a tax shield. The more considerable the depreciation expense, the lower will be the taxable income. The adjusting entries are required before the trial balance is created. Few transactions occur after the initial recording of the transactions. These transaction needs to be adjusted before the preparation of the financial statements.
Find more information about Depreciation here:
https://brainly.com/question/1553943
If interest rates rise, which of the following U.S. Government debt instruments would show the greatest percentage drop in value?
a. treasury bills.
b. treasury notes.
c. treasury bonds.
d. savings bonds.
Answer: treasury bonds
Explanation:
The treasury bonds are typically debt securities for the government that have a long maturity period e.g ten years ane above.
If interest rates rise, the U.S. Government debt instruments that would show the greatest percentage drop in value is the treasury bonds because of its longer maturity period.
Compromising is most likely the best approach to conflict management when opponents with equal power are committed to mutually exclusive goals.
a. True
b. False
Answer:
true
Explanation:
when two opponents with equal power are committed to mutually exclusive goals then they have to reach a compromise.in a compromise, either of these two parties having a conflict would be willing to give up something to reach an agreement. The needs of both sides would be balanced, as both sides would have to make sacrifices. This makes it a lose-lose approach to conflict resolution for either parties involved. A compromise has to be reached for important goals to be achieved.
Uber's guidance that if a driver's "rating over the most recent 100 trips is below a 4.6, your profile may be at risk of deactivation" represents which step in the control process?
a. take corrective action, if necessary
b. compare performance to standards
c. recognize success
d. measure performance
e. establish standards
Answer:
e. establish standards
Explanation:
-Take corrective action, if necessary is when managers decide strategies to implement when the results are not meeting the standards that were established.
-Compare performance to standards is the step that determines if there is a difference between the company's performance and the standards.
-Recognize success is not a step in the control process.
-Measure performance refers to gather and analyze data to determine if the company is meeting the goals set.
-Establish standards refers to establishing goals that are specific, attainable and clear to be able to evaluate the company's performance.
According to this, the answer is that Uber's guidance that if a driver's "rating over the most recent 100 trips is below a 4.6, your profile may be at risk of deactivation" represents establish standards because Uber established a rating that driver's need to achieve which represents the standard that would be use to evaluate them.
Internal service funds are most commonly reported in which section of the Government-wide financial statements?
a. governmental activities.
b. business type activities.
c. both A & B.
d. neither of the above.
Answer: a. Governmental activities
Explanation:
Internal Service funds in Government record entries that are related to the provision of goods and services from one government department to another on a cost reimbursement basis. The fund therefore shows the cost of providing some goods and services.
In Government-wide financial statements, it is therefore recorded under Governmental activities as it has to do with internal Government departments.
a company bought a piece of equipment for A200 and expects to use it for eight years. The company that plans to
Answer:
The correct option b. $2,567.
Explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
A company bought a piece of equipment for $49,200 and expects to use it for eight years. The company then plans to sell it for $4,000. The company has already recorded depreciation of $42,632.60. Using the double-declining-balance method, what is the company's annual depreciation expense for the upcoming year? (Round your answer to the nearest whole dollar amount.)
a. $11,300.
b. $2,567.
c. $19,200.
d. $1,642.
The explanation to the answer is now given as follows:
Note: See the attached excel file for the calculation of the annual depreciation expenses.
Double declining depreciation method is an accelerated depreciation technique due to the fact the depreciation expenses are charged faster under it than under straight-line depreciation method.
The depreciation of double declining method is calculated by by multiplying the rate of straight-line depreciation method by 2.
From the question, the already recorded depreciation of $42,632.60 is the accumulated depreciation expenses for the 7th year.
Since the upcoming year is the 8th year which is the last year, the depreciation expense for it can be calculated as by adjusting for the residual value of $4,000 follows:
Equipment cost = $49,200
Accumulated Depreciation = $42,632.60
Residual value = $4,000
Estimated useful life = 8 years
Therefore, we have:
Straight line method depreciation rate = 1 / Estimated useful life = 1 / 8 = 0.125, or 12.50%
Double declining depreciation rate = Straight line method depreciation rate * 2 = 12.50% * 2 = 25%
Beginning book value of the equipment in the upcoming year or in the 8th year = Equipment cost - Accumulated Depreciation = $49,200 - $42,632.60 = $6,567.40
Annual depreciation expense for the upcoming year or for the 8th year = Beginning book value of the equipment - Residual value = $6,567.40 - $4,000 = $2,567
Therefore, the correct option b. $2,567.
AAA Manufacturing Inc, makes a product with the following costs per unit: Direct materials $150 Direct labor $90 Manufacturing overhead (variable) $60 Manufacturing overhead (fixed) $120 Marketing costs $85 What would be the inventoriable cost per unit under variable costing and what would it be under absorption costing?
Answer:
Results are below.
Explanation:
Giving the following information:
Direct materials $150
Direct labor $90
Manufacturing overhead (variable) $60
Manufacturing overhead (fixed) $120
The absorption costing method includes all costs related to production, both fixed and variable. The unit product cost is calculated using direct material, direct labor, and total unitary manufacturing overhead.
The variable costing method incorporates all variable production costs (direct material, direct labor, and variable overhead).
Variable costing:
Unitary production cost= 150 + 90 + 60= $300
Absorption costing:
Unitary production cost= 300 + 120= $420
30-year maturity bond with face value of $1,000 makes semiannual coupon payments and has a coupon rate of 8%. (Do not round intermediate calculations. Enter your answers as a percent rounded to 3 decimal places.) a. What is the yield to maturity if the bond is selling for $900?
Answer:
The answer is 15.508%
Explanation:
The annual coupon rate is:
8% x 900 x 2 / $1,000 = 14.4%
The yield to maturity as follows:
Yield to maturity (YTM) = [Coupon payment + (Face Value - Present Value) / Time to Maturity] / [(Face Value + Present Value) / 2]
=> YTM = [14.4% x $1,000 + ($1,000 - $900) / 30] / [ ($1,000 + $900) / 2] = 15.508%
5. Kroger can use __________ gathered from ClickList orders to determine which products they should keep more or less of in stock.
Answer: Data analytics
Explanation:
Data analytics simply has to do withcanalyzing raw data to make conclusions about a particular information. Data analytics is used by organizations in order to optimize their business performance.
Kroger can use data analytics gathered from ClickList orders to determine which products they should keep more or less of in stock.
If own price elasticity of demand for your market is -1.2, and your marginal cost is flat at 10, what is the optimal price for your monopoly firm
Answer: $60
Explanation:
The optimal price for a monopoly firm is expressed by;
Price = Marginal Cost * ( Own Price Elasticity/ (1 + Own Price Elasticity))
Price = 10 * ( -1.2 /( 1 - 1.2)
Price = 10 * (-1.2/-0.2)
Price = 10 * 6
Price = $60
Common stock is called a hybrid security because it takes on the attributes of both preferred stock and bonds.
a. True
b. False
Answer:
false
Explanation:
examples of hybrid stocks is convertible preferred shares
A common stock is a stock that entitles owners of the stock to a fixed amount of shares and holders of the stock are owners of the company where the stock is bought.
Answer:
a. True
Explanation:
In most stocks that attributes of both bonds and preferred stock, it is referred to as a hybrid security. Most organisations and the government recognized it as a medium of security in situations of seeking for loan.
"customer's long margin account shows the following: Market Value: $100,000 Debit Balance: $60,000 SMA: $5,000 If the customer wishes to eliminate the restriction in the account, he can do which of the following? I Deposit $10,000 of fully paid marginable securities II Deposit $20,000 of fully paid marginable securities III Deposit $5,000 of cash IV Deposit $10,000 of cash"
Answer:
I Deposit $10,000 of fully paid marginable securities
II Deposit $20,000 of fully paid marginable securities
Explanation:
Marginable securities refers to stock, bonds and other securities which are capable to be traded on margin. These facilities are marketed by financial institution and brokerage. SMA cannot be used to pay a loan, when SMA is withdrawn it increases the loan balance which in turn increases restrictions.
Cost of Producing Guitars Carlota Music Company estimates that the marginal cost of manufacturing its Professional Series guitars is given by the following in dollars/month when the level of production is x guitars/month.
C '(x) = 0.008x + 90
The fixed costs incurred by Carlota are $8500/month. Find the total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month.
Answer:
The total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month is C(x) = 0.004x^2 + 90x + 8,500.
Explanation:
Given,
C '(x) = 0.008x + 90 ................................... (1)
To obtain the the total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month, we obtain the integral of equation (1) as follows:
[tex]C(x)=\int\limits {C'(x)} \, dx = \int\limits {[0.008x + 90]} \, dx[/tex]
C(x) = (0.008 / 2) x^2 + 90x + F
C(x) = 0.004x^2 + 90x + F .......................... (2)
Where F is the constant.
Since total cost is the addition of the total cost and total variable cost, the F in equation (2) represents the total fixed cost per month.
Since the fixed costs incurred by Carlota are $8500/month, this implies that F = 8,500.
Substituting F = 8,500 into equation (2), we have:
C(x) = 0.004x^2 + 90x + 8,500 <-------------- Total cost per month
Therefore, the total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month is C(x) = 0.004x^2 + 90x + 8,500.
