To determine the price at which Ben will sell the baskets of peaches, we start with the given supply function [tex]\( P = Q - 15 \)[/tex]. In this equation, [tex]\( P \)[/tex] represents the price, and [tex]\( Q \)[/tex] represents the quantity of baskets produced.
We are given that Ben makes 25 baskets of peaches, which means [tex]\( Q = 25 \)[/tex].
We substitute [tex]\( Q = 25 \)[/tex] into the supply function:
[tex]\[ P = Q - 15 \][/tex]
Substituting the value of [tex]\( Q \)[/tex]:
[tex]\[ P = 25 - 15 \][/tex]
Perform the subtraction:
[tex]\[ P = 10 \][/tex]
Thus, the price [tex]\( P \)[/tex] at which Ben will sell the baskets of peaches is [tex]\( \$10 \)[/tex].
Therefore, the correct answer is:
A. [tex]\( \$ 10 \)[/tex]
