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Question 2 of 10

Ben operates a farm stand. The supply function for peaches at the farm stand is [tex]P = Q - 15[/tex], where [tex]P[/tex] is the price and [tex]Q[/tex] is the quantity of baskets. If Ben makes 25 baskets of peaches, what price will he sell the baskets of peaches at?

A. [tex]\$10[/tex]
B. [tex]\$25[/tex]
C. [tex]\$5[/tex]
D. [tex]\$15[/tex]

Sagot :

GinnyAnsweridn
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]
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