A manager hires labour and rents capital equipment in a very competitive market. Currently the wage rate is GH¢2 per hour and capital is rented at GH¢5 per hour, the unit price of the product is GH¢0.25 and total cost is 1000. Suppose the firm's production function is as follows: � = 14�*.,�*., + 10 i. What is the amount of labour and capital the firm should employ in order to maximize output? [Hint: Maximise the product function subject to the cost constraint] ii. What is the maximum profit?

Answers

Answer 1

Solution :

It is given that the manager hires a labor and he rents the capital equipment [tex]\text{in a very competitive market}[/tex].

Presently the rate of the wage is at $ 10 per hour and the capital is been rented at $ 0.25. If the [tex]\text{marginal product}[/tex] of the labor is 50 units of the output per hour and the marginal.

Therefore, the answer is

14 + 10 = 24


Related Questions

One number is 4 less than 3 times a second number. If 3 more than two times the first
number is decreased by 2 times the second number, the result is 11. Use the substitution
method. What is the first number?

Answers

Answer:

The first number (x) = 8

Step-by-step explanation:

Let x = the first number

Let y = the second number

x = 3*y - 4

2x + 3 - 2y = 11        Subtract 3 from both sides

2x - 2y = 11 - 3

2x - 2y = 8              Divide by 2

x - y = 4                   Add y to both sides

x = y + 4                  Now go back to the very first equation. Substitute for x

y + 4 = 3y - 4          Subtract y from both sides

4 = 3y - y - 4

4 = 2y - 4                Add 4 to both sides

4 + 4 = 2y

8 = 2y                     Divide by 2

8/2 = y

y = 4

x = 3y - 4

x = 3*4 - 4

x = 12 - 4

x = 8

two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO​

Answers

Answer:

ss

Step-by-step explanation:

s

Leona has a large bag of apples. There are 180 apples in the bag. She uses 14of the apples to make some juice. She uses 20% of the apples to make some pies. How many apples are left?

Answers

Answer:

132.8 are left enjoy

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
24 yd
30 yd
35 yd
16 yd
18 yd
38 yd​

Answers

Answer:

The length of the missing side is 18yd

Step-by-step explanation:

Sq30 - Sq 24 = Sq (x)

54:33

13
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 15 cups from
9
5
the first orange, 5 cups from the second orange, 20 cups from the third orange, 71 cups from the fourth orange, and
7
15 cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much
more orange juice does he need to reach his estimate?
O
2 cups
0 1 cups
o is cups
25
cups
K

Answers

Answer:C

Step-by-step explanation:because

Kinda need some help

The number 4 in 8^4 is called
the..

A)Base

B)variable

C)Exponent

D)Term

Answers

Answer:

Exponent

Step-by-step explanation:

^ means raised to the power of

The number being raised is known as the exponent

In this case it's the exponent is 4

The 4 in 8^4 is called an Exponent (C)

Please answer quickly this is due today and I just can’t figure it all out!!

In Andrews furniture shop he build bookshelves and tables each type of furniture takes him about the same time to make he figures he has time to make at most 25 pieces of furniture this by the Saturday the material for each book shelf cost him $20 in a materials for each table cost and $45 he has $675 to spend on materials Andrew makes a profit of $60 on each bookshelf and a profit of $100 for each table how many of each piece of furniture should Andrew make to maximize his profit 1. write a system of inequalities that represents Andrews constraints explain what each of the inequalities represents you should have four inequalities

Answers

Answer:

A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves

y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend.

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.

(0,0)

(18, 7)

(0, 15)

(33.75, 0) or (33, 0) if you insist on rounding.

Step-by-step explanation: Good luck and hope this helps :)

Could someone help me please if you don’t mind thank you so much!

Answers

Answer:

m = 11

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] (m + 4) = 6 ← multiply both sides by 5 to clear the fraction

2(m + 4) = 30 ( divide both sides by 2 )

m + 4 = 15 ( subtract 4 from both sides )

m = 11

This method avoids having to deal with awkward fractions

Yulet rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 24.

Answers

2,4,6,8,10,12,14,16,18,20,22,24!.. so 2 x 12= (24).....

For the function F defined by F(x) = x2 – 2x + 4, find F(| – 4|)
A. 28
B. 12
C. 8
D.4

Answers

The correct answer is c

please give the answer if your answer will be correct I promise that will mark as brainliest​

Answers

Answer:

4 1/2 : 2 1/4

Divide both sides by 2 1/4

2 : 1

-------------------------------

3 months : 1 year

1 year = 12 months

3 : 12

Divide both sides by 3

1 : 4

4÷1×2 it the answer and questions

Emma wants to give someone 5.2m every day she can donate 10k how long will it take her to donate 5.2m?

Answers

Answer:

520 days

Step-by-step explanation:

--------------------------------------

5.2 million = 5,200,000

10 thousand = 10,000

5,200,000 ÷ 10,000 =

= 520 days

---------------

Hope this helps.

Answer:

520 days

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

(20 points) thanks so much!!

Answers

Step-by-step explanation:

Let us say x=2 and y=1

Using the formula,

=>((2^2)-(1^2))^2+(2(2)(1))^2=((2^2)+(1^2))^2

=>(4-1)^2+(4)^2=(4+1)^2

=>(3)^2+(4)^2=(5)^2

Which is pythogorian triplet

Please help ASAP thank you

Answers

A: Chris
B: the absolute values of each customer is $47.92 and $68.21 (Chris’ debt), and the latter number is greater

analyze the histogram comparing the frequencies shown for the annual temperatures of kentucky and illinois

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the required histograms are not provided; however, the general explanation is as follows.

(a) If any of the histograms has more bars at the left hand side, then it means that the distribution is skewed left.

(b) If any of the histograms has more bars at the right hand side, then it means that the distribution is skewed right.

(c) If any of the histograms has appears to have increasing number of bars at the middle, then it means the such histogram is symmetrical.

Use the above illustration to answer your question.

Answer:

C: Both distributions are skewed right.

Step-by-step explanation:

A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?

Answers

90% off means is is selling for 10% of the original price.

Multiply original price by 10%

107 x 0.01 = $10.70

It is selling for $10.70

Solve for x. Leave your answer in simplest radical form.

Answers

There are two Right angled triangles in the given figure, with two missing sides, let's name the other missing side be " y "

According to Pythagoras theorem,

[tex] \boxed{ \large \boxed{h {}^{2} = {b}^{2} + p{}^{2} }}[/tex]

note :

p = perpendicular / opposite sideb = base / adjacent sideh = hypotenuse

let's solve for " y² " first ( square of other missing side )

[tex]➢ \: \: {y}^{2} = {8}^{2} + 3 {}^{2} [/tex]

[tex]➢ \: \: {y}^{2} = 64 + 9[/tex]

[tex]➢ \: \: {y}^{2} = 73[/tex]

now let's solve for " x " , by using pythagorous theorem

[tex]➢ \: \: {x}^{2} = {y}^{2} + {6}^{2} [/tex]

[tex]➢ \: \: {x}^{2} = 73 + 36[/tex]

[tex]➢ \: \:x {}^{2} = 109[/tex]

[tex]➢ \: \: x = \sqrt{109} [/tex]

Approximate :

[tex]➢ \: \: 10.44 \: \: units[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

what is 2+a when a=22?

Answers

work: 2+22=24
answer:24

Answer:

24

Step-by-step explanation:

2+a

2 + (22)

= 24

−5x+2y=9
y=7x


solve the system of equation

Answers

Here to solve the equation we need to plug in the value y as given. -5x+2(7x)=9. -5x+14x=9. 9x=9. X=1.

Please help me kitty

Answers

Answer:

Its either exponential growth or increasing linear. I am positive it is not exponential decay or decreasing linear, but if I had to choose it would be exponential growth.

Answer:

Hi how are you will u friendship with me plz

Please help 7th grade math

Answers

Answer:

x=20, g=100, f=80

Step-by-step explanation:

when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be

3x+40+5x-20=180

8x+20=180

8x=160

x=20

Finding g

3(20)+40

60+40

g=100

FInding f

5(20)-20

100-20

f=80

Abox of twelve granola bars was $3.60. What was the unit cost per bar?

Answers

Answer:

cost of 12 bars = $3.60

cost of 1 bar = $3.60 ÷ 12

= $0.3

hope it helps

have a nice day

Answer:

$0.30

Step-by-step explanation:

12 granola bars = $3.60

1 granola bars = $3.60/12 = $0.30

Volume=
A) 91 2/3 pie cubic units
B) 275 pie cubic units
C) 36 2/3 pie cubic units

Answers

the volume is 1/3 * height *area of the base (the circle) in cubic units

the area of the circle is pi*r²

wich gives us

1/3 * 11 * pi * 5²

rearrange

= 5² * 11 * 1/3 * pi

= 25*11*1/3*pi

= 275*1/3*pi

= 275/3 *pi

= (91 2/3)*pi

in cubic units

so your answer is the first option

please answer this !!!
5x + 100​

Answers

x = 16°

Step-by-step explanation:

The sum of angles in a straight line = 180°

Therefore

5x + 100° = 180°

5x = 180° - 100°

5x = 80°

x = 80/5

x = 16°

X would equal sixteen.


Why did the author most likely include information about the Spanish-
American War in the reading?
O A. To show his knowledge of history
B. To set the time frame for his story
O C. To emphasize a dangerous situation
O D. To please readers who had military knowledge

Answers

C. To emphasize a dangerous situation

Find √10 yo the nearest hundredth

Answers

Answer:

√10 = 3.16

Step-by-step explanation:

using calculator

√10 = 3.162277660168379

Hundredths is the second decimal place.

Since the next decimal place is less than 5

there is no need to round up

√10 = 3.16

is x+6 a factor of f(c)=-x^2+6x?

Answers

Yes.x+6 is a factor of f(x)=-x^2+6x

Answer:

no

Step-by-step explanation:

f(x) = -x^2 + 6x

The right side has a common factor. It is x.

Factor x out on the right side.

f(x) = x(-x + 6)

When the common factor x is factored out, the remaining factor is -x + 6.

-x + 6 is not equal to x + 6.

Answer: no

If f(1) = 2 and f(n) = f(n − 1)2 + 3 then find the value of f(3).

Answers

Answer:

52

Step-by-step explanation:

f(n) is purely based on the previous value of f(n), or f(n-1), so we can start with f(1) and work our way up. We know f(1) = 2, so to find f(2), we plug f(1) into

f(n-1)²+3 to get

f(1)²+3 = 2²+3 = 4+3=7

Thus, f(2) =7. Similarly,

f(3) = f(3-1)²+3 = f(2)² + 3 -= 7² + 3= 52

If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an assembly for third graders if a total of 4 students are absent?

students

Answers

Answer:

The answer is 74

Step-by-step explanation:

First you need to find the number of student in total so just multiply 26 by 3 which is 78.

Then after since there are 4 students absent subtract 4 from 78 which is 74.

Viết các lũy thừa sau dưới dạng một lũy thừa hoặc các tích các lũy thừa có số nguyên và số nguyên A.8 mũ 2 B. 654​

Answers

Step-by-step explanation:

câu trả lời là trong hình ảnh trên

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