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 data2.collection, the sales team determines that the monthly profit is approximated by f (p)=-50p+1600p-11,000, where p is theprice 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.Part: 0/3Part 1 of 3(a) The price that generates the maximum profit is $

Name: The monthly profit for a small company that makes long-sleeve T-shirt
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: 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 mont

Given function f(p)=-50p2+1600p-11000 , where p is the price per shirt and f(p) is monthly profit…

Math

Algebra

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 dat collection, the sales team determines that the monthly profit is approximated by f (p)=-50p+1600p-11,000, where p is ti 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.