Maximizing Profit A wrought iron manufacturer produces chandeliers, stair railings, and

Chapter 5, Problem 38

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Maximizing Profit A wrought iron manufacturer produces chandeliers, stair railings, and gate latches, each of which must have its parts blacksmithed, assembled, and crated for shipping. Each chandelier requires 3 hours to blackmith, 5 hours to assemble, and 0.1 hour to crate and returns a profit of $10. Each set of stair railings requires 10 hours to blacksmith, 8 hours to assemble, and 0.6 hour to crate and returns a profit of $25. Each gate latch requires 1 hour to blackmith, 1 hour to assemble, and 0.1 hour to crate and returns a profit of $3. The manufacturer has 30,000, 40,000, and 120 hours available weekly for blacksmithing, assembling, and crating, respectively. How many units of each product should be manufactured to maximize profit? (a) Formulate a linear programming problem that models the problem given above. Be sure to identify all variables used. (b) Solve the linear programming problem. (c) Analyze the solution