c = # of chest freezers
u = # of upright freezers
c+u>=100 or u >= 100-c
assume a total of 100 units
cost = 250c + 400u
= 250c +400(100-c)
= 250c + 40000 - 400c
= 40000 - 150c = 800 - 3c
so obviously the more type c units, the lower the total cost.
profit = 40c + 60u >= 4800
substitute u in terms of c in the profit equation to find the maximum number of type c units to maintain a minumum profit of 4800
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.
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