(a) A company makes two products, Alpha-4 and Beta-5. These two products are processed using two...

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(a) A company makes two products, Alpha-4 and Beta-5. These two products are processed using two machines, M₁ and M₂. Each unit of Alpha-4 requires 5 hours of processing time in M₁ and 5 hours of processing time in M₂. Each unit of Beta-5 requires 3 hours of processing time in M₁ and 6 hours of processing time in M₂. In a month, M₁ can run for a maximum of 220 hours and M₂ can run for a maximum of 180 hours. The production cost for Alpha-4 and Beta-5 are $100 and $120 per unit, respectively. Each unit of Alpha-4 and Beta-5 are sold to the vendor at $150 and $160, respectively. The company wishes to produce at least 20 units of Alpha-4 and not more than 40 units of Beta-5. The manager wishes to maximize the profit per month, within the given constraints. Formulate a linear programming model for the above problem. (12 marks) (a) A company makes two products, Alpha-4 and Beta-5. These two products are processed using two machines, M₁ and M₂. Each unit of Alpha-4 requires 5 hours of processing time in M₁ and 5 hours of processing time in M₂. Each unit of Beta-5 requires 3 hours of processing time in M₁ and 6 hours of processing time in M₂. In a month, M₁ can run for a maximum of 220 hours and M₂ can run for a maximum of 180 hours. The production cost for Alpha-4 and Beta-5 are $100 and $120 per unit, respectively. Each unit of Alpha-4 and Beta-5 are sold to the vendor at $150 and $160, respectively. The company wishes to produce at least 20 units of Alpha-4 and not more than 40 units of Beta-5. The manager wishes to maximize the profit per month, within the given constraints. Formulate a linear programming model for the above problem. (12 marks)

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Let x be the number of units of Alpha4 produced and x2 be the nu... View the full answer