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19 votes
19 votes
The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit

User Asvd
by
2.7k points

2 Answers

17 votes
17 votes

Answer:

4 pairs of shoes.

Explanation:

User Arie Litovsky
by
3.1k points
16 votes
16 votes

Answer:
4 pairs

Explanation:

Given

Profit on selling 'x' pairs of shoes is
P(x)=-4x^2+32x-39

Find the derivative of the function to find out the critical points


\Rightarrow -8x+32=0\\\Rightarrow x=4

Thus, for 4 pair of shoes profit is maximize.

User Ribena
by
3.0k points