# test3bK - MATH 119 TEST 3B Key (Chapter 4) NAME: Class ID...

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TEST 3B Key (Chapter 4) NAME: Class ID #: 1) An appliance firm determines to sell x radios, the price per radio is given by p = 280 – 0.4 x it also determines that the total cost of producing x radios is given by: C ( x ) = 5000 + 0.6 x 2 . How many radios must be produced and sell to maximize the profit? What price per radio must be charge to maximize the profit? R = 280x - 0.4x 2 P = R - C = -x 2 + 280x - 5000 P' = 0, then x = 140 Price per unit = \$224 2) A company estimate that it can sell 1000 units per week if it sets the unit price at \$5, but that its weekly sales will rise by 100 units for each \$0.20 decrease in price. Find the production level ( price per unit and number of units ) that maximize the revenue 1750 units, \$3.5 per unit 3) A rectangular lot to be fenced off along the highway, the fence along the highway costs \$6 per ft, and on the two sides is \$2 per foot and no fence next to the building. Using \$444, find the dimensions for the maximum area. 37

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## This note was uploaded on 02/29/2012 for the course MATH 119 taught by Professor Maanomran during the Fall '09 term at Indiana University-Purdue University Fort Wayne.

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test3bK - MATH 119 TEST 3B Key (Chapter 4) NAME: Class ID...

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