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CDF Appliances has assembly plants

CDF Appliances has assembly plants in Atlanta and Fort Worth where they produce a variety of kitchenappliances including a 12-cup coffee maker and a cappuccino machine. At the Atlanta plant 160 of the12-cup models and 200 of the cappuccino machines can be assembled each hour. At the Fort Worth plant 800 of the 12-cup models and 200 of the cappuccino machines can be assembled each hour. CDF Appliancesexpects orders for at least 64 000 of the 12-cup models and at least 40 000 of the cappuccino machines. Ateach plant the number of assembly hours available for these two appliances is constrained by each plantscapacity and the need to fill the orders. Let x be the number of assembly hours at the Atlanta plant and lety be the number of assembly hours at the Fort Worth plant.