Problema Solution
Graph and record the solution to the following linear programming problems. Attach all work.
The Appliance Barn has 2400 cubic feet of storage space for refrigerators. Large refrigerators come
in 60-cubic-foot packing crates and small refrigerators come in 40-cubic-foot crates. Large refrigerators
can be sold for a $250 profit and the smaller ones can be sold for $150 profit. How many of each type
of refrigerator should be sold to maximize profit and what is the maximum profit if:
a) At least 50 refrigerators must be sold each month.
b) At least 40 refrigerators must be sold each month.
c) There are no restrictions on what must be sold.
Answer provided by our tutors
Large refrigerators: x
Small refrigerators: y
(a)
60x + 40y = 2400
Profit = 250x+150y
When x+y>=50, Profit is max, so x = 20, y = 30, there are 20 large refrigerators and 30 small refrigerators.
(b)
60x + 40y = 2400
Profit = 250x+150y
When x+y>=40, Profit is max, so x = 40, y = 0, there are 40 large refrigerators and no small refrigerators.
(c)
60x + 40y = 2400
Profit = 250x+150y
When there are no restrictions on what must be sold, Profit is max, so x = 40, y = 0, there are 40 large refrigerators and no small refrigerators.