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11. A clothing company sells two types of shoes A and B. The price function for shoe A is (p = 80-5x) dollars. The price function for shoe B is (q = 100 6y) dollars, where (x) and (y) are the numbers of shoe A and shoe B sold per day. The company's cost of producing each shoe A is $20/shoe and the cost of producing each shoe B is $16/shoe. The fixed costs are $200/day. a. Find the Revenue function from selling these two types of shoes. b. Find the Cost function. c. Find the Profit function.

11. A clothing company sells two types of shoes A and B. The price function for shoe A is (p = 80-5x) dollars. The price function for shoe B is (q = 100 6y) dollars, where (x) and (y) are the numbers of shoe A and shoe B sold per day. The company's cost of producing each shoe A is $20/shoe and the cost of producing each shoe B is $16/shoe. The fixed costs are $200/day. a. Find the Revenue function from selling these two types of shoes. b. Find the Cost function. c. Find the Profit function.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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11. A clothing company sells two types of shoes A and B. The price function for shoe A is (p = 80 5x) dollars. The price function for shoe B is (q = 100 6y) dollars, where (x) and (y) are the numbers of shoe A and shoe B sold per day. The company's cost of producing each shoe A is $20/shoe and the cost of producing each shoe B is $16/shoe. The fixed costs are $200/day. a. Find the Revenue function from selling these two types of shoes. b. Find the Cost function. c. Find the Profit function. d. Perform D-Test. e. Find how many shoes and at the prices at which they should be sold to maximize the daily profit. f. Find the maximum daily profit. 17
Transcribed Image Text:11. A clothing company sells two types of shoes A and B. The price function for shoe A is (p = 80 5x) dollars. The price function for shoe B is (q = 100 6y) dollars, where (x) and (y) are the numbers of shoe A and shoe B sold per day. The company's cost of producing each shoe A is $20/shoe and the cost of producing each shoe B is $16/shoe. The fixed costs are $200/day. a. Find the Revenue function from selling these two types of shoes. b. Find the Cost function. c. Find the Profit function. d. Perform D-Test. e. Find how many shoes and at the prices at which they should be sold to maximize the daily profit. f. Find the maximum daily profit. 17
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