Chapter 6: Q. 78 (page 698)

A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial $- 4 p^{2} + 420 p$ . Find the revenue received when $p = 90$ dollars.

Short Answer

Expert verified

The revenue received when $p = 90$ dollars is $5400.

Step by step solution

Step 1. Given information.

The revenue received from selling the basketball shoes at a cost of p dollars each is:

$- 4 p^{2} + 420 p$

The cost of each pair of basketball shoes is role="math" localid="1647694767045" $p = 90$ dollars.

Step 2. Evaluate the expression for the given value.

Substitute $p = 90$ in the given expression.

$\begin{array}{rcl} - 4 (90)^{2} + 420 (90) & = & - 4 (8100) + 37800 \\ = & - 32400 + 37800 \\ = & 5400 \end{array}$

Step 3. Conclusion.

The revenue received when $p = 90$ dollars is $5400.

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A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial $- 4 p^{2} + 420 p$ . Find the revenue received when $p = 90$ dollars.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Evaluate the expression for the given value.

Step 3. Conclusion.

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A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial −4p2+420p. Find the revenue received whenp=90 dollars.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Evaluate the expression for the given value.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Logic and Functions

Discrete Mathematics

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial $- 4 p^{2} + 420 p$ . Find the revenue received when $p = 90$ dollars.