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Vanyuwa [196]
3 years ago
14

At a sales volume of 30,000 units, Carne Company's total fixed costs are $30,000 and total variable costs are $45,000. The relev

ant range is 20,000 to 40,000 units.If Carne Company were to sell 40,000 units, the total expected cost per unit would be:
Business
1 answer:
Anna [14]3 years ago
8 0

Answer:

$2.25

Explanation:

sale volume of company = 30,000 unit

total fixed cost are = $30,000

total variable cost $45,000 for 30,000 unit

1 unit = 45000/30000 =  $ 1 . 5

for the sale of 40,000 unit

the  total expected cost

    = Fixed cost + Variable cost

      = $30,000 + 40,000×$1.50

      = $30,000+$60,000

     = $90,000

Cost per unit:

 = $90,000/40,000

=  $2.25

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A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price.
Yuki888 [10]

A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is 50 units.

p = 38 + (2,700 / D) - (5,000 / D2)

Marginal (variable) cost (MC) = 40

(a) Profit is maximized by equality of Marginal revenue (MR) and MC.

Total revenue (TR) = p x D = 38D + 2,700 - (5,000 / D)

MR = dTR / dD = 38 + (5,000 / D2)

Equating MR with MC,

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5,000 / D2 = 2

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Taking positive square root on each side,

D = 50

(b) When D = 50, from demand function we get

p = 38 + (2,700 / 50) - (5,000 / 2,500) = 38 + 54 - 2 = $90 (Profit-maximizing price)

Profit (\pi) ($) = Total Revenue - Total Costs = TR - (Fixed cost + Total variable cost) = (p x D) - (1,000 + 40D)

= 38D + 2,700 - (5,000 / D) - 1,000 - 40D

= 1,700 - 2D - (5,000 / D)

Profit is maximized when d\pi/dD = 0 and d2\pi/dD2 < 0.

First order condition: d\pi/dD = - 2 + (5,000 / D2)

Second order condition: d2\pi/dD2 = d/dD(d\pi/dD) = - 2 x (5,000 / D3) = - 10,000 / D3

Since D > 0, (- 10,000 / D3) < 0, which proves that profit is maximized when company produces = 50 units.

Learn more about the company products at

brainly.com/question/19649017

#SPJ4

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