X 4.6.21-BEA company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) 75,000+70x and p(x) 300-0sxs9000(A) Find the maximum revenue(B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set.(C) If the government decides to tax the company $6 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each set?(A) The maximum revenue is $(Type an integer or a decimal.)

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Asked Nov 18, 2019
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X 4.6.21-BE
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) 75,000+70x and p(x) 300-
0sxs9000
(A) Find the maximum revenue
(B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set.
(C) If the government decides to tax the company $6 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each set?
(A) The maximum revenue is $
(Type an integer or a decimal.)
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X 4.6.21-BE A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) 75,000+70x and p(x) 300- 0sxs9000 (A) Find the maximum revenue (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company $6 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each set? (A) The maximum revenue is $ (Type an integer or a decimal.)

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Expert Answer

Step 1

Given

x = Number of televisions

The monthly cost equation and price demand equation are

C(x)75000+70x ..
..(2)
P(x) 300
and tax $6
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C(x)75000+70x .. ..(2) P(x) 300 and tax $6

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Step 2

(A) To find the maximum revenue.

Revenue R (x) Px
x
300-
х
30
300x-
30
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Revenue R (x) Px x 300- х 30 300x- 30

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Step 3

For maximum revenue ...

R'(x)= 0
2x
300-
30
x
0
300
15
300
15
x4500
(4500)
maximum revenue R (4500) = 300 x 4500
30
= $67000
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R'(x)= 0 2x 300- 30 x 0 300 15 300 15 x4500 (4500) maximum revenue R (4500) = 300 x 4500 30 = $67000

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Calculus

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