a) A company makes two products, P and Q using two machines, A and B. Each unit of P that is produced requires 50 minutes of processing time on machine A and 30 minutes of processing time on machine B. Each unit of Q produced requires 24 minutes of processing time on machine A and 33 minutes of processing time on machine B. Machine A will be available for 40 hours and machine B will be available for 35 hours. The profit per unit of P is RM25, while the profit per unit of Q is RM30. The company's policy is to determine the production quantity of each product in such a way that the total profit is maximized while the available resources should not be exceeded. Formulate the above problem as a linear programming model.
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Identify the variables and their associated constraints. P and Q are the two products. A and B are the two machines. 40 and 35 are the hours of availability of machines A and B, respectively. RM25 and RM30 are the profit per unit of P and Q, respectively. Show more…
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