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jekas [21]
2 years ago
14

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-x^2+73x-520
y=−x
2
+73x−520
Mathematics
1 answer:
Delvig [45]2 years ago
4 0

Answer:

36.5

Step-by-step explanation:

y= -x²+73x-520

which can be represented as ax²+bx+c

a= -1, b= 73, c = -520

for maximum value of y,

the formula is

c - (b² / 4a)

= -520 - (73² / 4×(-1))

= -520 - (5329 / -4)

= -520 + 1332.25

= 812.25

Solving for x,

812.25 = -x²+73x-520

or, x²-73x+ 1332.25 = 0

Solving,

x= 36.5

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