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Published byFranklin Herrell Modified over 2 years ago

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By: Tai Parker & Brittany Walker

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A manufacturer of CB radios makes a profit of $25 on a deluxe model and $30 on a standard model. The company wishes to produce at least 80 deluxe models and at least 100 standard models per day. To maintain high quality, the daily production should not exceed 200 radios. How many of each type should be produced daily in order to maximize the profit?

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(Objective Function) Maximum Profit = 25x+30y X = deluxe models Y = standard models Constraints X ≥ 80 Y ≥ 100 X + Y ≤ 200

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Y ≥ 100 X ≥ 80 X + Y ≤ 200 (80,100) (80,120) (100,100) Standard Models Deluxe Models Standard models and Deluxe Models Profit

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Finding the Maximum P=25X+30Y 25(80)+30(100)= 5000 25(80)+30(120)= 5600 25(100)+30(100)= 5500 The maximum is $5600 (80,120)

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Summary For the optimum profit 80 deluxe models and 120 standard models should be produced per day. This was found by creating a graph and graphing constraints the company gave, for a maximum profit of $5600.

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