Question

c(x) = 1500 +10x +0.2x^2 (0<=x<=150)

Items sell for $150 each. What is the revenue function?

Answer 1

Revenue = (Price Per Item)*(Number of Items Sold)

Revenue = ($150)*(x)

Revenue = 150x


So the revenue function is R(x) = 150x where x is the number of items sold (each at $150)

Answer 2

c(x) = 1500 +10x +0.2x^2 looks like the cost function

so profit would be

Profit = (Revenue) - (Cost)

and you can use those two functions to calculate the profit function

Answer 3

I was totally over thinking this. Thank you!

Answer 4

you're welcome