Sunday, December 27, 2009

Help with linear programming problems please oh please?

Could you be so kind and help me answer thees please and if you could like the constraints that would be wonderful thank you for your help











An office manager is purchasing file cabinets and wants to maximize storage space/. The office has 60 square feet of floor space for the cabinets and $600 in the budget to purchase them. Cabinet A requires 3 square feet of floor space, has a storage capacity of 12 cubic feet and costs $75 . Cabinet B requires 6 square feet of floor space, has a storage capacity of 18 cubic feet, and costs$50. How many of each cabinet should the office manager buy?Help with linear programming problems please oh please?
3x + 6y = 60


x = 20 - 2y


75x + 50y = 600


75(20 - 2y) + 50y = 600


1500 - 100y = 600


y = 15 - 6 = 9 Cabinet B


162 cu ft


x = 2 Cabinet A


24 cu ft


186 cu ft total





cp

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