15/1.66 Points] DETAILS PREVIOUS ANSWERS TANAPMATH7 9.8.013. NOTES ASK YOUR TEACHER PRACTICE ANOTHER The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars Marginal Cost A division of Ditton Industries manufactures the Futura model microwave oven. The daily cost (in dollars) of and x denotes the quantity demanded. producing these microwave ovens given by the following function, where x stands for the number of units produced. p = 600 - 0.07x (0 5 x 5 12,000) C(x) = 0.0002x3 - 0.06x2 + 120x + 5000 The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost (in to the nearest cent.) a) What is the actual cost incurred in manufacturing the 141st oven? The 231st oven? The 31ist oven? (Round your answers dollars) incurred in producing x sets. Find the following functions (in dollars) and compute the following values. 141st $ 114.98 114.98 C(x) = 0.000003x3 - 0.05x2 + 390x + 80,000 231st (a) Find the revenue function R. 311st R(X)= b) What is the marginal cost when x = 140, 230, and 3107 (Round your answers to the nearest cent.) 140 Find the profit function P. 230 x P(x) = 310 x Need Help? Read it Watch it (b) Find the marginal cost function C'. C'(x) Find the marginal revenue function R'- 2. [0.56/1.66 Points] DETAILS PREVIOUS ANSWERS TANAPMATH7 9.8.006. R'(X) = MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the marginal profit function P'- idiary manufactures an indoor-outdoor thermometer, has estimated that the total weekly cost (in dollars) for p P'(x) - thermometers is represented by the following function. Find the following functions (in dollars) and interpret C(x) = 5,500 + 5x (c) Compute the following values. (Round your answers to two decimal places.) (a) Find the average cost function C. X C'(2,000) = C(x) = A R'(2,000) P (2,000)= (b) Find the marginal average cost function C'. C'(x) = Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation (c) Interpret your results. P = 40 (0 5 x 5 20) Since the marginal average cost function is neg verage cost function is 0.05x2 + 1 positive for all x > 0. where p is measured in dollars and x in units of a thousand. Find the following functions (in dollars) and compute the following. Since the marginal average cost function positive for all x > 0. cost function is (a) Find the revenue function R. ace the marginal average cost function is neg negative for all x > 0. verage cost function is R(X) = Since the marginal average cost function is positive for x > 0, the rate of change of the average cost function is negative for all x > 0. (b) Find the marginal revenue function R' R'(X)= Need Help? Read It Watch it (c) Compute R'(4). (Round your answer to three decimal places.) Submit Answer R '14) - 3. [-/1.66 Points] DETAILS TANAPMATH7 9.8.009.MI. Need Help? Read " Master MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER of a Commuter Air Service Williams Commuter Air Service realizes a monthly revenue represented by he following function, where R(x) is measured in dollars and the price charged per passenger is x dollars. R(x) = 3,200x - 80x2 [-/1.7 Points] DETAILS TANAPMATH7 9.8.029. a) Find the marginal revenue R'(x). R'(X) = Y NOTES ASK YOUR TEACHER PRACTICE ANOTHER (b) Compute the following values. Inflation The consumer price index (CPI) of a certain country is given by R'(19) = Nt) = -0.02t3 + 0.412+ 124 (0 s t = 4) R'(20) = R'(21 ) = where t = 0 corresponds to the beginning of 2013. Find the annual percentage rate of inflation in the CPI of the country at the beginning of 2016. (Round your answer to three decimal places.) c) Based on the results of part (b), what price (in dollars) should the airline charge in order to maximize their revenue? %/year Need Help? Read it
