Linear Programming Worksheet Iv

Linear Programming Problems:

8

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2. canSuppose the ABC Manufacturing Company wishes to determine the maximum profit which be obtained subject to certain constraints caused by manufacturing and resource limitations. ABC makes two types of toys: airplanes and trucks. Each type is made of aluminum, and the company has available only 250 oz of aluminum for the next day To manufacture one unit an airplane requires 10 ounces of aluminum and a truck requires 25 ounces of aluminum. An airplane and a truck each require 20 minutes of assembly time and the assembly department has only 260 minutes of available time for the next day. Furthermore, an airplane requires 10 minutes to paint and a truck requires only 4 minutes to paint The painting department has only 100 minutes of available time for the next day. ABC has determined that their profit is $1 per plane and $2 per truck. How many planes and how many trucks should the company make the next day in order to maximize profit?