Federal Rent a Car is puotting together a new floet. It is considering package o
ID: 3196932 • Letter: F
Question
Federal Rent a Car is puotting together a new floet. It is considering package offers from theree car manufacturers. Fred Motors is oflering 5 smull cars, 5 medium cars, and 10 large cars for $500,000. Admia Motors is offering 5 small, 10 medium, and 5 large cars for $400,000. Chrysalis is offering 10 small, 5 mediom, and 5 large cars for $300,000. Federal would Ske to buy at least 700 small cars, at least 600 medium cars, and at least 700 large cars. How many packages should it buy from each car maker to keep the totai cost "s 1 as possble? Admiral Motors Chrysals packages packages packages what te the total cost?Explanation / Answer
Let the number of Bundles purchased from Ford Motors, Admiral Motors and Chrysalis be x, y and z
5x + 5y + 10 z > 550 ==> x + y +2z > 110....1)
5x + 10y + 5z > 500 ==> x + 2y +z > 100.....2)
10x + 5y + 5z > 550 ==> 2x + y +2z > 110....3)
Adding eqn 1) , 2) and 3)
4x + 4y + 4z > 320
x + y + z > 80 ......4)
1) - 4) ==> z >30
2) - 4) ==> y >20
3) - 4) ==> x >30
Fred motors = 30 package
Admiral motors = 20 package
Chrysalts = 30 package
Cost = 30*500,000 + 20*400,000 + 30*300,000 = 32,000,000
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