Lynbrook West, an apartment complex, has 100 two bedroom units. The monthly profit (in dollars) realized from renting x apartments is shown below.

P(x) = -10x2 + 1800x - 43000

(a) What is the actual profit realized from renting the 51st apartment, assuming that 50 units have already been rented?

(b) Compute the marginal profit when x = 50.

Question

Lynbrook West, an apartment complex, has 100 two bedroom units. The monthly profit (in dollars) realized from renting x apartments is shown below.

P(x) = -10x2 + 1800x - 43000

(a) What is the actual profit realized from renting the 51st apartment, assuming that 50 units have already been rented?

(b) Compute the marginal profit when x = 50.

anonymous · Answer

I'm assuming you mean $$p(x) = -10^2 +1800x-43000$$
(a) P(51) = 22,790 and P(50) = 22,000. Difference is $790.
(b) Using derivative: P'(50) = 800.

anonymous · Answer

Ohhh, okay. Yeah, I meant to square the x. I don't know why that was so confusing to me at first. Thank you, shoeless.

anonymous · Answer

aww no worries.