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In: Operations Management

A manufacturing company produces three products. All products need to be processed on machines. For the...

A manufacturing company produces three products. All products need to be processed on machines. For the production times, product 1 uses 15 minutes per unit, product 2 uses 17 minutes per unit and product 3 uses 20 minutes per unit. The total regular machine time is 2500 minutes per day.

The daily demand of product 1 is between 150 to 200 units and that of product 2 is no more than 55 units and that of product 3 is no more than 70 units. Overtime, up to 500, may be used to meet the demand at an additional cost of $.50 per minute. The unit profits for products 1, 2 and 3 are $6.00, $9.90 and 11.99, respectively.

2. a) Please formulate as an LP model. For your model, define the variables before you use. I will check three areas for this model: variable definition, objective function and constraints.

Hint: For the production time constraint,

Total production with production time = 2500 + additional time needed – remaining time.

2. b) Solve the model created in 2.a) using LINDO

A manufacturing company produces three products. All products need to be processed on machines. For the production times, product 1 uses 15 minutes per unit, product 2 uses 17 minutes per unit and product 3 uses 20 minutes per unit. The total regular machine time is 2500 minutes per day.

The daily demand of product 1 is between 150 to 200 units and that of product 2 is no more than 55 units and that of product 3 is no more than 70 units. Overtime, up to 500, may be used to meet the demand at an additional cost of $.50 per minute. The unit profits for products 1, 2 and 3 are $6.00, $9.90 and 11.99, respectively.

2. a) Please formulate as an LP model. For your model, define the variables before you use. I will check three areas for this model: variable definition, objective function and constraints.

Hint: For the production time constraint,

Total production with production time = 2500 + additional time needed – remaining time.

2. b) Solve the model created in 2.a) using LINDO

Solutions

Expert Solution

2-a)

2-b)

keosha answered 1 year ago
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