An office manager wants to buy some filing cabinets Cabinet A costs $10 each, requires 6 ft 2 of floor space, and holds 8 ft 3 of files Cabinet B costs $20 each, requires 8 ft 2 of floor space, and holds 12 ft 3 of files He can spend no more than $140, and there is room for no more than 72 ft 2 of ...

Let x number of cabinet A y number of cabinet B The cost constraint is 10x 20y140 The space constrai ...

An office manager wants to buy some filing cabinets. Cabinet A costs $10 each, requires 6 ft

Question:

An office manager wants to buy some filing cabinets. Cabinet A costs $10 each, requires 6 ft² of floor space, and holds 8 ft³ of files. Cabinet B costs $20 each, requires 8 ft² of floor space, and holds 12 ft³ of files. He can spend no more than $140, and there is room for no more than 72 ft² of cabinets.

To maximize storage capacity within the limits imposed by funds and space, how many of each type of cabinet should he buy?

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