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If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func

ANTONII [103]

Answer:

Following are the solution to the question:

Explanation:

Calculating the total cost:

$C(x) = 2,000 + 140x + \frac{4x^3}{2}$

Calculating the marginal cost:

$M(x) = C'(x) = 140 + 6 \times \frac{1}{2}$

Calculating the average cost:

$A( x ) =\frac{ C( x )}{x} = 2,000x-1 + 140 + 4\times \frac{1}{2}$

Calculating the marginal average cost:

$m( x ) = A'( x ) = -2,000x-2 + 2x-\frac{1}{2}$

In point (a)

$C( 1,000 )$

$= 2,000 + 140( 1,000 ) + 4( 1,000)^{\frac{3}{2}}\\\\= \$ \ 268,491.106 \\\\ = \$ \ 268,491.11$

In point(b)

$A( 1,000 )$

$= 2,000( 1,000 )-1 + 140 + 4( 1,000 )^{\frac{1 }{2}}\\\\= \frac{\$ \ 268.491106} {unit}\\\\= \frac{\$ \ 268.49}{ unit}$

In point (c)

$M( 1,000)$

$= 140 + 6( 1,000 )^{\frac{1}{2}}\\\\= \frac{\$ \ 329.73666}{unit}\\\\= \frac{ \$ \ 329.74}{ unit}$

In point (d)

Calculating the average cost:

$A'( x ) = m( x ) = -2,000x-2 + 2x- \frac{1}{2}\\\\A'( x ) = 0 = -2,000x-2 + 2x-\frac{1}{2}= 0\\\\multiply \ by \ 2\\\\\to -2,000 + 2 \times \frac{x^3}{2}= 0 \\\\\to 2\times \frac{x^3}{2} = 2,000 \\\\\to \frac{x^3}{2} = \frac{2,000}{2} \\\\ \to \frac{x^3}{2}= 1,000 \\\\\to x = ( 1,000 )^{\frac{2}{3}}\\\\ \to 100 \ units$

In point (e)

$A( 100 )$

$= 2,000( 100 )-1 + 140 + 4( 100 )^{\frac{1}{2}}\\\\= \frac{ \$ \ 200}{unit}$

6 0

3 years ago

Vincent has the responsibility to set up the long-term goals for his organization. Which level of management is Vincent working

saw5 [17]

Answer:

top management

Explanation:

Managers have the responsibility of resource allocation, provide guidance and leadership to attain the organizational goals. A company top management may include the board of directors, the president or chairman, vice-president, the CEO, other senior ranking officials.

Top management is accountable to the shareholder or owners of the business. The top managers' role involves controlling, directing, and overseeing the entire operations of the organization. They develop long-term strategic plans, set company policies and goals, and outline the company's business direction.

5 0

3 years ago

Each team in the league can spend a maximum of $33 million per year on salaries. If the Whalers have 45 players and the average

Lilit [14]

Given that the team in the league has a maximum of $33 million per year on salaries, and they have 45 players with a salary of $700,000, first, we have to multiply 700,000 by 45 and we get a total of $31,500,000. So, the amount that they have left under the cap is $1,500,000. Hope this answers your question. Have a great day!

5 0

4 years ago

Read 2 more answers

what is the total stockholders equity based on the following account balances common stock 850000 paid in capital in excess of p

Nat2105 [25]

Answer:

the total stockholder equity is $900,000

Explanation:

The computation of the total stockholder equity is shown below;

= Common stock + paid in capital in excess of par

= $850,000 + $50,000

= $900,000

We simply added these two amounts so that the correct amount could come

hence, the total stockholder equity is $900,000

As these two amount increased the equity

3 0

3 years ago

What is the appropriate description for a plant-processing franchise?

nikdorinn [45]

Answer:

Explanation:

The appropriate description for this would be that A franchisee focuses on making a franchisor’s product using the franchisor's manufacturing method or recipe. This is because the processing plant does not focus on selling the product instead their sole responsibility is creating the franchisor's product using their exact instructions in order to replicate their product for another company to sell.

5 0

3 years ago