Sells original local and imported compact discs

Assignment Help Operation Management

Reference no: EM132273465

Problems:

1. A store sells original local and imported compact discs. The owners buy the local CD for Php200 then sell it for Php450; and buy an imported CD for Php450 then sell it for Php800. They can buy 200 to 350 pieces local CD and import 150 to 300 pieces of imported CD but not more than 500 pieces of both. How many pieces of local and imported CD should they buy to maximize their profit?

2. A firm produces four products: A, B, C, and D. Each unit of product A requires two hours of assembly, one hour of finishing, and Php10 worth of in-process inventory. Each unit of product B requires 1 hour of assembly, 3 hours of finishing, and Php5 worth of in-process inventory. Each unit of product C requires 2.5 hours of assembly, 2.5 hours of finishing, and Php2 worth of in-process inventory. Finally each unit of product D requires five hours of assembly, no finishing, and Php12 worth of in-process inventory. The firm has 120,000 hours assembly time and 160,000 hours of finishing time available. In addition, not more than Php1 million may be tied up in-process inventory. Each unit of product A returns a profit of Php40; each unit of product B returns a profit of Php24; each unit of product C returns a profit of Php36; and each unit of product D returns a profit of Php23. Not more than 20,000 units of product A can be sold; not more than 16,000 units of product C sold; any number of units of product B and D may be sold. However, at least 10,000 units of product D must be produced and sold to satisfy a contract requirement. The objective of the firm is to maximize the profit resulting from the sales of the four products.

3. A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and 8 buses of 40 seats, but only has 9 drivers available. The rental cost for a large bus is $800 and $600 for the small bus. Calculate how many buses of each type should be used for the trip for the least possible cost.

Reference no: EM132273465

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