Question

The demand for a product is given by D(x) = 200e -0.025x, where x is the number of units sold each week and 0 < x < 70. Step 1 of 2: Find the number of units sold that will yield maximum revenue. Round your answer to the nearest whole unit. Keypad Answer How to enter your answer units

Answer 1

The Demand of a product is given asia doo -0.0258 D(x) = o2x I 70 x number of whits sold Revenue = price & Quantity - DCx). (x) Rx) z X -0.025% 200 e first for critical maximom number. RK), we find its - R'(x) - (x20€ ) 10.6.20€*****) + d 1202**259)) -0.025X 200 e t -0.025x 200 (-0.025e flex) = 2002 0025% - 5x20.025% put R(x) 0 -0-025% 5-0.025% { со е -0.025x ie -0.025% za -0.0258 doo - sx) 20 -0.025 * since + O

= 8000 (0.367879441) = 2943.035 R(70) - 70 ( 200 e 025170) ) - 14000 (0:1737739432 = 2432.83. . R(x) is maximom at x = 40 - x - yo units Thank you, please Rate