The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. C(x) = 108,000 +37x and R(x) = 43x a. Use the formulas shown to write the company's profit function, P, from producing and selling x radios. b. Find the company's profit if 19,000 radios are produced and sold. a. The company's profit function is P(x) = (Simplify your answer.) b. The company's profit from selling 19,000 radios is $. (Simplify your answer.)

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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The text presents cost and revenue functions for a company manufacturing and selling small radios. 

- **Cost function:** \( C(x) = 108,000 + 37x \)
- **Revenue function:** \( R(x) = 43x \)

Questions to solve:

a. Use the formulas shown to write the company's profit function, \( P \), from producing and selling \( x \) radios.

b. Find the company's profit if 19,000 radios are produced and sold.

Further instructions:

a. The company’s profit function is \( P(x) = \) [box]. (Simplify your answer.)

b. The company’s profit from selling 19,000 radios is $[box]. (Simplify your answer.)
Transcribed Image Text:The text presents cost and revenue functions for a company manufacturing and selling small radios. - **Cost function:** \( C(x) = 108,000 + 37x \) - **Revenue function:** \( R(x) = 43x \) Questions to solve: a. Use the formulas shown to write the company's profit function, \( P \), from producing and selling \( x \) radios. b. Find the company's profit if 19,000 radios are produced and sold. Further instructions: a. The company’s profit function is \( P(x) = \) [box]. (Simplify your answer.) b. The company’s profit from selling 19,000 radios is $[box]. (Simplify your answer.)
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The profit function is calculated by subtracting the cost function from the revenue function.

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