1. An appliance dealer wants to purchase a combined total of no more than 100 refrigerators, and dishwashers for inventory. Refrigerators weigh 200 pound each, and dishwashers weigh 100 pounds each. The dealer is limited to a total of 12,000 pounds for these two items. A profit of $35 for each refrigerator and $20 on each dishwasher is projected.
(a) Write out the linear programming model by identifying the constraints and the objective function from the description above.
(b) Using a scale of 2 cm to 20 pounds on both axes, construct and shade the region R in which every point satisfies all the constraints.
(c) Based on the graph obtained in (b), determine the corner points and find out the maximum number of refrigerators and dishwashers that the dealer can purchase and sold to make the profit.
Let the number of refrigerators, and the number of dishwashers
An appliance dealer wants to purchase a combined total of no more than 100 refrigerators, and dishwashers for inventory
The dealer is limited to a total of 12,000 pounds for these two items
The total profit is
(a) linear programming problem maximizing subject to
(b)
(c)
Corner points:
An appliance dealer should purchase 20 refrigerators, and 80 dishwashers in order to maximize his profit.
The maximum profit is $2300.
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