A manufacturer makes two types of wakeboards, a single-tip board and a twin-tip board. The fabrication...

 

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A manufacturer makes two types of wakeboards, a single-tip board and a twin-tip board. The fabrication department can produce a single-tip board in 4 hours and a twin-tip board in 6 hours. The finishing department needs 2 hours per board for each type. The fabrication department has 96 labor-hours available per day, and the finishing department has 32 labor- hours available per day. The manufacturer makes a profit of $40 on the single-tip board and a profit of $50 on the twin-tip board. If x represents the number of single-tip boards to be made per day and y represents the number of twin-tip boards to be made per day, which linear programming problem should be solved to find the maximum profit, P, that this manufacturer can expect? A manufacturer makes two types of wakeboards, a single-tip board and a twin-tip board. The fabrication department can produce a single-tip board in 4 hours and a twin-tip board in 6 hours. The finishing department needs 2 hours per board for each type. The fabrication department has 96 labor-hours available per day, and the finishing department has 32 labor- hours available per day. The manufacturer makes a profit of $40 on the single-tip board and a profit of $50 on the twin-tip board. If x represents the number of single-tip boards to be made per day and y represents the number of twin-tip boards to be made per day, which linear programming problem should be solved to find the maximum profit, P, that this manufacturer can expect?

Answer rating: 100% (QA)

To find the maximum profit that the manufacturer can expect we need to set up a linear programming p... View the full answer