A machine is used to produce two interchangeable products. The daily capacity of the machine can produce at most 20 units of Product 1 and 10 units of Product 2. Alternatively, the machine can be adjusted to produce at most 12 units of Product 1 and 25 units of Product 2 daily. Market analysis shows the maximum daily demand for the two products combined is 35 units. Given that the unit profits for the two respective products are $10 and $12, formulate the Integer Linear Programming model to maximize the Total Profit.

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter13: Nonlinear Optimization Models
Section: Chapter Questions
Problem 4P: The profit function for two products is: Profit3x12+42x13x22+48x2+700, where x1 represents units of...
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  1. A machine is used to produce two interchangeable products. The daily capacity of the machine can produce at most 20 units of Product 1 and 10 units of Product 2. Alternatively, the machine can be adjusted to produce at most 12 units of Product 1 and 25 units of Product 2 daily. Market analysis shows the maximum daily demand for the two products combined is 35 units. Given that the unit profits for the two respective products are $10 and $12, formulate the Integer Linear Programming model to maximize the Total Profit.
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