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 ) = − 50 p 2 + 1700 p − 12 , 000 , where p is the price per shirt and f ( p ) is the monthly profit based on that price. ( See Example 4 ) 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.
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 ) = − 50 p 2 + 1700 p − 12 , 000 , where p is the price per shirt and f ( p ) is the monthly profit based on that price. ( See Example 4 ) 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.
Solution Summary: The author explains how to calculate the maximum profit for a company by comparing the equation with the quadratic equation.
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
)
=
−
50
p
2
+
1700
p
−
12
,
000
, where p is the price per shirt and
f
(
p
)
is the monthly profit based on that price. (See Example 4 )
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.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.