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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

Respuesta :

Answer: [tex]4[/tex] pairs

Step-by-step explanation:

Given

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

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

[tex]\Rightarrow -8x+32=0\\\Rightarrow x=4[/tex]

Thus, for 4 pair of shoes profit is maximize.

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