Formulate but do not solve the following exercise as a linear programming problem. TMA manufactures 19-in. color television picture tubes in two separate locations, location I and location II. The output at location I is at most 6,000 tubes/month, whereas the output at location II is at most 5,000/month. TMA is the main supplier of picture tubes to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3,000 and 4,000 picture tubes to be shipped to two of its factories located in city A and city B, respectively. The shipping costs (in dollars) per picture tube from the two TMA plants to the two Pulsar factories are as follows: Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum.
A) Minimize: Subject to:
B) Minimize: Subject to:
C) Minimize: Subject to:
D) Minimize: Subject to:

Question

Formulate but do not solve the following exercise as a linear programming problem. TMA manufactures 19-in. color television picture tubes in two separate locations, location I and location II. The output at location I is at most 6,000 tubes/month, whereas the output at location II is at most 5,000/month. TMA is the main supplier of picture tubes to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3,000 and 4,000 picture tubes to be shipped to two of its factories located in city A and city B, respectively. The shipping costs (in dollars) per picture tube from the two TMA plants to the two Pulsar factories are as follows:  Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum.
A) Minimize: Subject to: 
B) Minimize: Subject to: 
C) Minimize: Subject to: 
D) Minimize: Subject to:

Quizplus · Accepted Answer

This is a transportation problem, which is a special case of linear programming. We need to minimize the shipping costs. The decision variables are the number of picture tubes shipped from each location to each factory. The objective function is the sum of the products of the decision variables and the corresponding shipping costs. The constraints are the maximum output at each location and the demand at each factory. The priority of Pulsar Corporation can be included in the demand constraints by setting their demand as a minimum requirement. Therefore, option A is the best choice.

Formulate but Do Not Solve the Following Exercise as a Linear