Hun Hakeem is the manager at Stella Design. He wants to maximize the total profit from two furniture items; a home office set and a playroom set. It is important that the showroom space of 40,000 square feet to be filled with these sets. The home office sets will occupy an average of 400 square feet each, and the playroom sets will occupy an average of 500 square feet each. The manager estimates that it requires approximately 14 minutes to unload a home office set and 7 minutes to unload a playroom set. There are 980 minutes available for unloading. The playroom sets will produce a profit of RM1250 each, and the home office sets will produce a profit of RM1500 each. The manager also has decided that a minimum of 30 playroom sets should be ordered. Formulate a linear programming model for this problem and solve the problem graphically.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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Hun Hakeem is the manager at Stella Design. He wants to maximize the total profit from two furniture items; a home office set and a playroom set. It is important that the showroom space of 40,000 square feet to be filled with these sets. The home office sets will occupy an average of 400 square feet each, and the playroom sets will occupy an average of 500 square feet each.
The manager estimates that it requires approximately 14 minutes to unload a home office set and 7 minutes to unload a playroom set. There are 980 minutes available for unloading. The playroom sets will produce a profit of RM1250 each, and the home office sets will produce a profit of RM1500 each. The manager also has decided that a minimum of 30 playroom sets should be ordered. Formulate a linear programming model for this problem and solve the problem graphically.

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