Chapter 9.4, Problem 50E

### Mathematical Applications for the ...

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

Chapter
Section

### Mathematical Applications for the ...

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

# Capital investment and output The monthly output of a certain product is Q ( x ) = 800 x 5 / 2 where x is the capital investment in millions of dollars. Find dQ/dx, which can be used to estimate the effect on the output if an additional capital investment of $1 million is made. To determine To calculate: The value of dQdx that describes the effect on the output if an additional capital investment of$1 million is made. The monthly output is given by Q(x)=800x52 where x is capital investment in millions of dollars.

Explanation

Given Information:

The monthly output is given by Q(x)=800x52, where x is capital investment in millions of dollars.

Formula Used:

According to power rule,

If f(x)=xn, then f(x)=nxn1.

Coefficient rule for a constant c is such that, if f(x)=cu(x), where u(x) is a differentiable function of x, then f(x)=cu(x).

Calculation:

Consider that the monthly output is given by Q(x)=800x52, where x is capital investment in millions of dollars

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