A manufacturer of ceramic vases has determined that her weekly revenue and cost functions for the manufacture and sale of z vases are R(z)-1052 -0.092 dollars and C(2) 1000+75 -0.08² dollars, respectively. Given that profit equals revenue minus cost:
a. find the marginal revenue, marginal cost, and marginal profit functions.
Marginal revenue: R' (z) =105-(0.18)x
Marginal cost: C' (z) =75-(0.16)x
Marginal profit: P'(x) = 30-(0.02)x
