   Chapter 10.3, Problem 4CP ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# If R ( x ) =   400 x   −   0.25. x 2 and  C ( x ) =   150. x   +   0.25 x 2 +   8500 are the total revenue and total cost (both in dollars) for x units of a product, find the number of units that gives maximum profit and find the maximum profit.

To determine

To calculate: The number of units that gives maximum profit and find the maximum profit if the total revenue is R(x)=400x0.25x2 and total cost is C(x)=150x0.25x2+8500 for x units of a products.

Explanation

Given Information:

The provided functions are:

R(x)=400x0.25x2 and C(x)=150x0.25x2+8500.

Formula Used:

The total profit function is:

P(x)=R(x)C(x)

Where R(x)&C(x) are total revenue function and total cost function.

Calculation:

The provided information is:

If R(x)=400x0.25x2 and C(x)=150x0.25x2+8500 are the total revenue and total cost for x units of a products.

The total profit function is:

P(x)=R(x)C(x)

Where R(x)&C(x) are total revenue function and total cost function

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