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e monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the pri w, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly p pproximated by f(p) =-50p´+1600p– 11,000, where p is the price per shirt and f (p) is the monthly profit based on that price. a) Find the price that generates the maximum profit. b) Find the maximum profit. c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button.

e monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the pri w, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly p pproximated by f(p) =-50p´+1600p– 11,000, where p is the price per shirt and f (p) is the monthly profit based on that price. a) Find the price that generates the maximum profit. b) Find the maximum profit. c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.2: Modeling With Linear Functions
Problem 58SE: When hired at a new job selling electronics, you aregiven two pay options: • Option A: Base salary...
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+ I| Σ * 00 つ & LO The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f (p) = -50p´+ 1600p– 11,000, where p is the price per shirt andf (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button. Part: 0/3 Part 1 of 3 (a) The price that generates the maximum profit is $ Part: 1/ 3 Continue Submit Assignment 5,554 OCT 99 étv M X 3. MacBook Air D吕 F3 F12 F7 63 F4 F5 F1 F2 & * # $ 7 2 6. 9 ヨ %3D G A command option option command
Transcribed Image Text:+ I| Σ * 00 つ & LO The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f (p) = -50p´+ 1600p– 11,000, where p is the price per shirt andf (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button. Part: 0/3 Part 1 of 3 (a) The price that generates the maximum profit is $ Part: 1/ 3 Continue Submit Assignment 5,554 OCT 99 étv M X 3. MacBook Air D吕 F3 F12 F7 63 F4 F5 F1 F2 & * # $ 7 2 6. 9 ヨ %3D G A command option option command
* 00 T %24 Part: 1/3 Part 2 of 3 (b) The maximum profit is $ Part: 2/3 Part 3 of 3 (c) The price(s) that would enable the company to break even: $ U Dand OpueO Continue © 2021 McGraw Hill LLC. All Rights 5,554 3. MacBook Air 0吕 F3 F1 F2 F4 F5 F8 & 23 2 4. 8. 3. M E. FG J
Transcribed Image Text:* 00 T %24 Part: 1/3 Part 2 of 3 (b) The maximum profit is $ Part: 2/3 Part 3 of 3 (c) The price(s) that would enable the company to break even: $ U Dand OpueO Continue © 2021 McGraw Hill LLC. All Rights 5,554 3. MacBook Air 0吕 F3 F1 F2 F4 F5 F8 & 23 2 4. 8. 3. M E. FG J
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