Suppose a company has fixed costs of $37,400 and variable cost per unit of 1 3 x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,356 − 2 3 x dollars per unit. Form the cost function and revenue function Find the break-even points. Find the vertex of the revenue function. Identify the maximum revenue. form the profit function from the cost and revenue functions Find the vertex of the profit function. Identify the maximum profit. What price will maximize the profit

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose a company has fixed costs of $37,400 and variable cost per unit of

1
3
x + 222 dollars,

where x is the total number of units produced. Suppose further that the selling price of its product is

1,356 − 
2
3
x dollars per unit.
 
Form the cost function and revenue function 
Find the break-even points.
Find the vertex of the revenue function.
Identify the maximum revenue.
form the profit function from the cost and revenue functions 
Find the vertex of the profit function.
Identify the maximum profit.
What price will maximize the profit
 
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