contestada

Select the correct answer.


These are the cost and revenue functions for a product line of cat food sold in 7-pound bags at a single pet store:

R(x) = 700x – 11.3x2

C(x) = 8,068 – 34.25x

Based on these functions, what is the maximum profit that can be made?


A. $1,737.82


B. $3,859.50


C. $8,068.00


D. $10,840.71

Respuesta :

TomShelby

Answer:

A. $1,737.82

Explanation:

Profit: revenue - cost

[tex]P = 700x -11.3x^2 - (8,068-34.25x)\\P = -11.3x^2 + 665.75x -8,068\\[/tex]

As this is a quadrcit formula we find the max profit as the vertex of the function:

-b/2a = -665.75/(2(-11.3)) = -665.75/-22.6 = 29.46

At this level the profit formula find the vertex thus, maximum point

[tex]P = -11.3(29.46)^2 + 665.75(29.46) -8,068\\[/tex]

1737.81992