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poizon [28]
3 years ago
5

Bolka Corporation, a merchandising company, reported the following results for October: Sales $ 413,000 Cost of goods sold (all

variable) $ 169,100 Total variable selling expense $ 20,700 Total fixed selling expense $ 17,900 Total variable administrative expense $ 13,100 Total fixed administrative expense $ 30,400 The gross margin for October is:a. $210,100 b. $364,700 c. $161,800 d. $243,900
Business
1 answer:
VMariaS [17]3 years ago
8 0

Answer:

Option (d) is correct.

Explanation:

Given that,

Sales = $ 413,000

Cost of goods sold (all variable) = $ 169,100

Total variable selling expense = $ 20,700

Total fixed selling expense = $ 17,900

Total variable administrative expense = $ 13,100

Total fixed administrative expense = $ 30,400

Gross margin:

= Sales - Cost of goods sold

= $ 413,000 - $ 169,100

= $243,900

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You are given the market demand function Q=2800-1000p, and that each duopoly firm's marginal cost is $0.07 per unit, which impli
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q1 = 910

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Given:

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2800 - 2q₁ = 70 + q₂

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2730 - 2q₁ = q₂...............(1)

Let's calculate profit of firm 2:

TR = p₁ q₂

= \frac{2800 q_2 - q_1 - q_2^2}{1000}

\frac{2800 - q_1 - 2q_2}{1000} = MR

MR = MC = 0.07

\frac{2800 - q_1 - 2q_2}{1000} = 0.07

Cross multiplying:

2800 - q₁ - 2q₂ = 70

2800 - 2q₂ = 70 + q₁

2800 - 70 - 2q₂ = q₁

2730 - 2q₂ = q₁................... (2)

Substitute 2730 - 2q₂ for q₁ in (1)...

Thus:

2730 - 2q₁ = q₂

2730 - 2(2730 - 2q₂) = q₂

2730 - 5460 + 4q₂ = q₂

-2730 + 4q₂ = q₂

-2730 = q₂ - 4q₂

-2730 = - 3q₂

q₂ = -2730/-3

q₂ = 910

Substituting 910 for q₂ in (2):

2730 - 2q₂ = q₁

2730 - 2(910)= q₁

2730 - 1820 = q₁

910 = q₁

q₁ = 910

The Cournot equilibrium quantities are: q₁= 910; and q₂ = 910

3 0
3 years ago
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