3.1.4 Linear Programming - Practice (continued)
5. A furniture company has 480 ft of teak wood and can sustain up to 450 hours of labor each week. Each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor. If a chair yields a profit of $65 and a table yields a profit of $90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company’s profit?
6. A manufacturer makes two types of handmade fancy paper bags: type A and type B. Two designers—a cutter and a finisher—need to work on both kinds of bags. A type A bag requires 2 hours of the cutter’s time and 3 hours of the finisher’s time. A type B bag requires 3 hours of the cutter’s time and 1 hour of the finisher’s time. Each month the cutter is available for 108 hours and the finisher is available for 78 hours. The manufacturer gets a profit of $12 for each bag of type A and $9 for each bag of type B. Find the number of bags of each type to be manufactured to obtain maximum profit.
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