CHAPTER 2

Product Mix

Let us take the case of a company that manufactures four products P1, P2, P3, and P4. Each of these products requires processing in three treatment plants T1, T2, and T3. The time required for processing (in hours) of each unit of products P1, P2, P3, and P4 in the plants T1, T2, and T3 is given in Table 2.1.

Table 2.1

P1

P2

P3

P4

T1

4

2

1

2

T2

3

6

3

6

T3

5

4

8

6

Each of the treatment plants T1, T2, and T3 are available for 100 hours per week. The profit obtained by selling the products P1, P2, P3, and P4 is 50, 100, 30, and 27, respectively. Whereas there is enough demand for products P1, P3, and P4, the company forecasts a maximum demand of 3 units for product P2. How many units of the products P1, P2, P3, and ...

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