130 150 The amount of time available on machine A is 360 hrs and on machine B is 260 hrs. Formulate the LP problem, which when solved, would indicate the number of product 1 and 2, which should be sold in order to maximize total contribution for the company.

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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A company makes two products (1 and 2). Each product requires time on two machines A and B. The specifications for each product are as follows;

                                                                                                Product 1        Product 2

Processing time on machine A (hrs/unit)                                2                      2

Processing time on machine B (hrs/unit)                                  1                     2

Material and labor cost (Sh./unit)                                             14                   15

Selling price (Sh./unit)                                                              16                   18

Maximum possible sale (units)                                                 130                 150

The amount of time available on machine A is 360 hrs and on machine B is 260 hrs. Formulate the LP problem, which when solved, would indicate the number of product 1 and 2, which should be sold in order to maximize total contribution for the company.

 

 
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