Answer:
Option (b) is correct.
The profit from sales if the price of the T-shirts were $15 a pieces is $28.
Step-by-step explanation:
Given : The function [tex]p(x)=-2(x-9)^2+100[/tex] is used to determine the profit on T-shirts sold for x dollars.
We have to find the profit from sales if the price of the T-shirts were $15 a pieces.
Consider the given profit function [tex]p(x)=-2(x-9)^2+100[/tex]
For the profit, if the price of a t-shirt is $ 15
Put x = 15, we have,
[tex]p(15)=-2(15-9)^2+100[/tex]
Simplify, we have,
[tex]p(15)=-2(6)^2+100=-2\cdot 36+100[/tex]
Also, [tex]p(15)=-72+100=28[/tex]
Thus, we get, The profit from sales if the price of the T-shirts were $15 a pieces is $28.
