SOLUTION: A model for a company's revenue is {{{R = -15p^2 + 300p + 12000}}} where p is the price in dollars of the company's products. What price will maximize revenue? Find the maximum rev

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Question 511604: A model for a company's revenue is R+=+-15p%5E2+%2B+300p+%2B+12000 where p is the price in dollars of the company's products. What price will maximize revenue? Find the maximum revenue.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A model for a company's revenue is R+=+-15p%5E2+%2B+300p+%2B+12000 where p is the price in dollars of the company's products.
.
What price will maximize revenue?
at vertex where:
p = -b/(2a)
p = -300/(2(-15))
p = -300/(-30)
p = $10
.
Find the maximum revenue.
substitute above into:
R+=+-15p%5E2+%2B+300p+%2B+12000
R+=+-15%2810%29%5E2+%2B+300%2810%29+%2B+12000
R+=+-15%28100%29+%2B+3000+%2B+12000
R+=+-1500+%2B+3000+%2B+12000
R+=+13500
.