11) An office manager is purchasing file cabinets and wants to maximize storage space. The office only has 60 square feet of floor space for the cabinets. The manager has a budget of $600 with which to purchase the file cabinets.
Cabinet A uses 3 square feet of floor space and costs $75. Cabinet A provides 12 cubic feet of storage space. Cabinet B
needs 6 square feet of floor space and costs $50. Cabinet B provides 18 cubic feet of storage space. How many of each
cabinet must the manager buy in order to maximize the storage space?

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Step-by-step explanation:

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step-by-step explanation:

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.