Question

An appliance store manager is ordering chest and upright freezers. one chest freezers costs $250 and delivers a $40 profit. One upright freezer costs $400 and delivers a $60 profit. Based on previous sales, the manager expects to sell at least 100 freezers. Total profit must be at least $4800. Find the least number of each type of freezer the manager should order to minimize costs.

Answer 1

Let C = # of chest freezers and U = # of upright.

40C + 60U ≥ 4800

C + U ≥ 100

Therefore, C ≥ 100 - U.

Substitute 100 - U for C in the first equation to solve for U. Put that value in the second equation to find C. Check by putting both values into the first equation.

I hope this helps.