SOLUTION: 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
Question 168555: 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? Solve using the substitution method. Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website! 75A+50B=600
3A+ 6B=60------>where A is the number of A cabs and B is the number of B cabs
:
solve for A in the 2nd equation and plug in that value to 1st equation:
:
3A=60-6B--->A=20-2B
:
75(20-2B)+50B=600
1500-150B+50B=600
-100B=-900
B cabinets
3A+6(9)=60--->3A=6 A cabinets
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