M Inbox (70) - luketry@gmail.com - x VA Sec 3.4 Derivatives as Rates of Ch x * Course Hero x | Home | Chegg.com x (2225) How to Fix Plantar Fasciitis x | S What is the antiderivative of 3/x? x | X - > C A webassign.net/web/Student/Assignment-Responses/last?dep=28194863 QEX DOUAL Update 4. [-/13 Points] DETAILS OSCALC1 3.4.163. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In general, the profit function is the difference between the revenue and cost functions, P(x) = R(x) - C(x). Suppose the price-demand and cost functions for the production of cordless drills is given respectively by p = 143 - 0.03x and C(x) = 74,000 + 65x, where x is the number of cordless drills that are sold at a price of p dollars per drill and C(x) is the cost (in dollars) of producing x cordless drills. (a) Find the marginal cost function, MC(x). MC(x) = (b) Find the revenue, R(x), and marginal revenue, MR(x), functions. R(X) = MR(X) = (c) Find R'(1100) in dollars per drill. R'(1100) = dollars per drill Interpret the results. At a production level of 1100 cordless drills, revenue is [--Select-- v at a rate of the absolute value of R'(1100) dollars per drill. Find R'(4100) in dollars per drill. R'(4100) = dollars per drill Interpret the results. At a production level of 4100 cordless drills, revenue is [-Select- v at a rate of the absolute value of R'(4100) dollars per drill. (d) Find the profit, P(x), and marginal profit, MP(x), functions. P(x ) = MP(x) = (e) Find P'(1100) in dollars per drill. P'(1100) = dollars per drill Interpret the results. At a production level of 1100 cordless drills, profit is [---Select-- v ] at a rate of the absolute value of P'(1100) dollars per drill. Find P'(4100) in dollars per drill. '(4100) = dollars per drill Interpret the results. At a production level of 4100 cordless drills, profit is [---Select-- ] at a rate of the absolute value of P'(4100) dollars per drill. 62 F ~ [ ) 3 7:26 PM Sunny 3/21/2022 22