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FinnZ [79.3K]
2 years ago
5

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?
Business
1 answer:
Yuki888 [10]2 years ago
8 0

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,

38 + (5,000 / D2) = 40

5,000 / D2 = 2

D2 = 2,500

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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6 0
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Total revenue (TR) is:
poizon [28]
I think it’s d. but im so sorry if im wrong!
3 0
2 years ago
EA12.
BaLLatris [955]

Answer:

$38,400

Explanation:

<em>1. Cash Purchases:</em>

The total purchases in the month of March is of $35,000.

It is given that 70% of Purchases are for cash.

Hence, 70% of $35,000 would be;

$39,000 x 0.70

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<em>2. Credit Purchases: </em>

Remaining Balance of Purchases from the month of February:

For the month of February Cash Purchases can be calculated as follows;

$37,000 x 0.70

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Remaining Balance to be paid in March for the month of February can be calculated as follows;

$37,000 - $25,900

$11,100

<em>3. CASH PAYMENT for PURCHASES in MARCH:</em>

Cash Purchases = $27,300

Credit Purchases = $11,100

Hence;

<em>Cash Payment for purchases in March = Cash Purchases + Credit Purchases </em>

Cash Payment for purchases in March = $27,300 + $11,100

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3 years ago
Lawn Chopper Company sells two types of lawn mowers. The first one is a basic lawn mower, which has variable costs of $50 and se
Temka [501]

Answer:

See below

Explanation:

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Variable costs per unit = $50

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BEP = $500,000 / $100

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It therefore means that 5,000 units of basic Lawn mower must be sold to break even, while 500 units of riding tractor must be sold to break even.

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