Calculus Help

Question

Assume the revenue from selling q items is R(q)=−0.003·q2+5·q, and the total cost of producing q items is C(q)=300+1.1·q.

(a) Find the profit function P(q).
(b) Estimate the marginal profit at q=600 using an interval size of h=0.001.
(c) Use the estimate from (b) to determine: If the production level is increased from 600 to 603 units, by approximately how much does profit change?

(Your final answer should be a function for part (a), and a number for (b) and (c) respectively.)

Answer 1

p(q)= r(q)-c(q)=3.9q - .003q^2 -100

marginal profit = p'

p'(600) = 3,9 - .006(600)=.3