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a) $50,880

b) $48

c) 1060

Step-by-step explanation:

a)

-320x^2 + 1920x + 48000 = 0

This is a parabola that opens downward. It has a maximum value. The maximum value occurs at x = -b/(2a)

x = -b/(2a) = (-1920)/(2(-320)) = 1920/640 = 3

The maximum revenue, y, is the value of the function evaluated at x = 3.

f(x) = -320x^2 + 1920x + 48000

f(-3) = -320(3)^2 + 1920(3) + 48000

f(-3) = 50,880

The maximum revenue is $50,880

b)

Since maximum revenue occurs at x = 3, and since x represents the number of $4 discounts, the discount is 3 * $4 = $12. The price is $60 - $12 = $48

c)

$50,880/$48 = 1060

a negative exponent is translated as follows:

so, we have