# Points Use the method of graphing the feasible set to solve...

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MA 114-001, Fall 2014 — Test 2 Review Note that all work must be shown (or explained, as the case may be) to guarantee full credit. Also, keep all numbers as fractions when necessary (i.e. when dividing 1 by 3, 2 by 7, etc.) and simplify fractions as much as possible. 1. ( Points) Use the method of graphing the feasible set to solve the following linear programming problem: Maximize the objective function - 2 x + 6 y subject to the following contraints: 2 x + 3 y 25 4 x + y 5 2 x - y 1 . 2. ( Points) Use the method of graphing the feasible set to solve the following linear programming problem: A refinery has two smelters that extract metallic iron from ore. Smelter A processes 1,000 tons of ore per hour and uses 7 megajoules of energy per hour. Smelter B processes 2,000 tons of ore per hour while using 13 megajoules of energy per hour. Each smelters must be run at least 8 hours per day (and of course, no more than 24 hours per day). The refinery needs to process at