to the nearest cent, for the company to make the maximum profit.y=−x 2 +89x−747

Answer 1

y = -x² + 89x - 747

Find the vertex of the quadratic function. Let a = -1, b = 89, and c = -747. Then

x = -b/2a = -89/2(-1) = 44.50

Find y by plugging in 44.50 for x in the original quadratic function.

y = -(44.5)² + 89(44.5) - 747 = 1233.25

The company will make a maximum profit of $1,233.25.