he A Producer of pleasure boats wants to maximize his profits during the next season. Two types of boats are sold. The first type of boat is a speedboat and the second type of boat is a pontoon. The speedboat sells for $40,000 and the pontoon sells for $30,000. The speedboat takes 10 weeks to manufacture, while the pontoon takes 3 weeks to manufacture. One speedboat uses 600 board feet of lumber, while one pontoon uses 1000 board feet of lumber. Each speedboat requires 500 square feet of fiberglass, while each pontoon requires 200 square feet of fiberglass. There are 30 weeks of labor, 3,000 board feet of lumber, and 1,800 square feet of fiberglass available during the season. Because of the desire to avoid ending up with semi-complete boats, the manager has specified that only integer solutions will be accepted. Formulate this as a Linear Programming Model?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The A Producer of pleasure boats wants to maximize his profits during the next season. Two types of boats are sold. The first type of boat is a speedboat and the second type of boat is a pontoon. The speedboat sells for $40,000 and the pontoon sells for $30,000. The speedboat takes 10 weeks to manufacture, while the pontoon takes 3 weeks to manufacture. One speedboat uses 600 board feet of lumber, while one pontoon uses 1000 board feet of lumber. Each speedboat requires 500 square feet of fiberglass, while each pontoon requires 200 square feet of fiberglass. There are 30 weeks of labor, 3,000 board feet of lumber, and 1,800 square feet of fiberglass available during the season. Because of the desire to avoid ending up with semi-complete boats, the manager has specified that only integer solutions will be accepted.

Formulate this as a Linear Programming Model?

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