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kondaur [170]
3 years ago
8

Minden Company introduced a new product last year for which it is trying to find an optimal selling price. Marketing studies sug

gest that the company can increase sales by 5,000 units for each $2 reduction in the selling price. The company’s present selling price is $70 per unit, and variable expenses are $40 per unit. Fixed expenses are $540,000 per year. The present annual sales volume (at the $70 selling price) is 15,000 units.Assuming that the marketing studies are correct, what is the maximum annual profit that the company can earn? At how many units and at what selling price per unit would the company generate this profit?
Business
1 answer:
Varvara68 [4.7K]3 years ago
7 0

Answer:

P = 38

Q = 95,000

max profit: 2,310,000

Explanation:

cost: 540,000 + 40Q

marginal cost: dC/dQ = 40

based on the current price and sales and the marketing studies we build for the inverse demand function:

Q = aP + b

if P = 70 then, Q =  15,000

if P = 68 then, Q = 20,000

-2P = + 5,000Q

-1P then, 2,500 Q

15,000 = -2,500(70) + b

b = 190,000

so Q = -2,500P + 190,000

revenue; P x Q

P x (-2,500P + 190,000)

-2,500P2 +190,000P

marginal revenue: dR/dQ = -5,000P + 190,000

<u></u>

<u>max profit at MR = MC </u>

40 = 190,000 - 5,000P

189,960 / 5,000 =37.992‬ = 38

Q = -2,500(38) + 190,000 = 95,000

<u></u>

<u>Profit:</u>

(70 - 40) 95,000 - 540,000 = 2,850,000 - 540,000 = 2,310,000

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1 year ago
3) What are the main factors behind economic growth? Write a short essay. Be expansive. Take a broad view of this question. What
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Explanation:

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3 years ago
Hart Company made 3,040 bookshelves using 22,040 board feet of wood costing $271,092. The company's direct materials standards f
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1. a. The computation of the direct materials price variance is as follows:

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1.b. The computation of the direct materials quantity variance is as follows:

= $27,816 (24,320 - 22,040) x $12.20) Favorable

2. The direct materials variance that Hart will investigate further is the <em>direct materials quantity variance</em>, which is 10.3% ($27,816/$271,092 x 100) of the actual direct materials costs instead of the<em> </em><em>direct materials price variance</em>, which is only 0.8% of the actual direct materials costs.

3. The journal entry to charge direct materials costs to Work in Process Inventory and record and close the materials variances are as follows:

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Debit Work in Process $296,704 ($12.20 x 8 x 3,040)

Debit Direct Materials Price Variance $2,204

Credit Direct Materials Quantity Variance $27,816

Credit Raw Materials $271,092

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b. Closing the Direct Materials Variances:

Debit Direct Materials Quantity Variance $27,816

Credit Direct Materials Price Variance $2,204

Credit Cost of Goods Sold $25,612

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Data and Calculations:

Units of bookshelves produced = 3,040

Feet of board used = 22,040

Cost of board feet of wood = $271,092

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Price               $12.20      $12.30 ($271,092/22,040)

Board feet        8              7.25 (22,040/3,040)

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