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.)
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
Problem 1RQ
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58402a47-f1ff-47ea-9009-84135bb68162%2F2662a456-e807-4426-9078-fb1e650d2a31%2Fo1e8o1d_processed.jpeg&w=3840&q=75)
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.)
Expert Solution

Step 1
The profit function is calculated by subtracting the cost function from the revenue function.
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