QUESTION 1 [25 Marks]
Muzi Corporation produces three products at two different plants.The cost of producing a unit at each plant is given in thefollowing table.
| Product 1 | Product 2 | Product 3 | |
| Plant A | R5 | R6 | R8 |
| Plant B | R8 | R7 | R10 |
Each plant has the capacity to produce a total of 10 000 units.Demand for at least 6 000 units of product 1, at least 8 000 unitsof product 2 and at least 5 000 units of product 3 must be met.Muzi wishes to minimise costs. The decision variables are definedas follows:
Pij = the number of units of product j produced at plant i,where i = A, B
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