Suppose a company has fixed costs of $4000 and variable costs per unit of x + 1160 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 16 x dollars per unit. 16 1300 - (a) Find the break-even points. (Enter your answers as a comma-separated list.) (b) Find the maximum revenue. (c) Form the profit function P(x) from the cost and revenue functions. P(x) = Find the maximum profit. %24 (d) What price will maximize the profit? (Round your answer to the nearest cent.)

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Proudction Costs
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15
x+1160 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is
16
Suppose a company has fixed costs of $4000 and variable costs per unit of
1.
1300 x dollars per unit.
16
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
(b) Find the maximum revenue.
$.
(c) Form the profit function P(x) from the cost and revenue functions.
P(x) =
%3D
Find the maximum profit.
$4
(d) What price will maximize the profit? (Round your answer to the nearest cent.)
%$4
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Transcribed Image Text:15 x+1160 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 16 Suppose a company has fixed costs of $4000 and variable costs per unit of 1. 1300 x dollars per unit. 16 (a) Find the break-even points. (Enter your answers as a comma-separated list.) (b) Find the maximum revenue. $. (c) Form the profit function P(x) from the cost and revenue functions. P(x) = %3D Find the maximum profit. $4 (d) What price will maximize the profit? (Round your answer to the nearest cent.) %$4 Need Help? Read It Watch It
Expert Solution
Step 1

Given,

fixed cost = $4000

variable cost = 1516x+1160

selling price = 1300 - 116x

[a]

For Breakeven point :- 

Total profit = 0

Total income - Total cost = 0

[x*(1300 - 116x)] - [x*(1516x+1160)] -4000 = 0

-x2 + 140 x - 4000 = 0

By solving, we get, x = 40,100

 

 

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