Question
You need to buy some filing cabinets. You know that Cabinet X costs $10 per
unit, and requires six square feet of floor space. Cabinet Y costs $20 per unit,
and requires eight square feet of floor space. You have been given $140 for this
purchase, though you don't have to spend that much. The office has room for no
more than 72 square feet of cabinets. Let x = number of model X cabinets
purchased and y= number of model Y cabinets purchased
A. If Cabinet X holds 8 cubic feet of files, and Cabinet Y holds 12 cubic feet
of files, how many of which model should you buy, in order to maximize
storage volume?
B. Find inequalities also
unit, and requires six square feet of floor space. Cabinet Y costs $20 per unit,
and requires eight square feet of floor space. You have been given $140 for this
purchase, though you don't have to spend that much. The office has room for no
more than 72 square feet of cabinets. Let x = number of model X cabinets
purchased and y= number of model Y cabinets purchased
A. If Cabinet X holds 8 cubic feet of files, and Cabinet Y holds 12 cubic feet
of files, how many of which model should you buy, in order to maximize
storage volume?
B. Find inequalities also