A company's profit is described by the equation P(x)=-5x^2+300x+15,000

Mathematics

2 answers:

qaws [65]2 years ago

4 0

When x=30 units, y = profit = -5(30)^2 + 300(30) + 15000 = $19500

Novay_Z [31]2 years ago

3 0

P(x)=-5x^2+300x+15,000 is the equation of a parabola and represents profit. Its graph opens down. Our job is to find the x-coordinate of the vertex (which is the x-coord of the maximum profit) and then the corresponding y-value.

The formula x = -b / (2a) will produce that x-coordinate:

-(300)
x = ------------ = 30
2(-5)

When x=30 units, y = profit = -5(30)^2 + 300(30) + 15000 = $19500 (answer)

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