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Algebra
Question

Storage Capacity An office manager wants to buy s...

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

Answer

\(\left. \begin{array} { l } { \text { 87. } 8 \text { of } A \text { and } 3 \text { of } B , \text { for a maximum } } \\ { \text { storage capacity of } 100 ft ^ { 3 } } \end{array} \right.\)

Solution
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