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Determining the transportation problem

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Reference no: EM132920494

Transportation Problem:

Big Swim King needs to ship pallets of product from their production plants to meet demand at the distribution centers. The plants have the following number of pallets at each plant: 200 at Omaha, 250 at Amarillo, 100 at Santa Fe, and 120 at Kansas City. The distribution centers have the following demand: 180 at Denver, 200 at Dallas, and 250 at Phoenix. Transporting pallets from plants to centers have a cost per pallet shown in the table below. Use these data to answer the questions.

shipping cost ($/pallet)

Distribution centers

production plants Denver Dallas Phoenix

Omaha 6 8 10

Amarillo 12 6 8

Santa Fe 8 7 8

Kansas city 12 6 9

A. Define the decision variables, using the Xij notation if you wish, including in words the meaning of your decision variables.

B. Draw out the distribution network from the production plants to the distribution centers to include the supply available and demand required at each location. Include the variables and shipping costs for each of the arks.

C. Add to your drawn network from step A these decision variables and their shipping costs.

D. Formulate a linear program that provides a transportation plan that minimizes the cost of shipping pallets of products from plants to centers.

Queueing:

(30) 3. A new tot is ready and suited up at poolside every 10 minutes for their lesson, while the instructor can teach 7 lessons per hour.

A) What portion of the time is the instructor busy? Idle?

B) How many tots are at the pool on average?

C) How long on average is a tot at the pool?

C) How many tots are waiting for their lesson on average?

D) How long is the average tot waiting?

Swimming Tots and Kids is considering hiring a second instructor to provide lessons in another part of the pool. What will the revised waiting line metrics be if they do hire another instructor?

E) What portion of the time is the instructor busy? Idle?

F) How many tots are at the pool on average?

G) How long on average is a tot at the pool?

H) How many tots are waiting for their lesson on average?

I) How long is the average tot waiting?

Reference no: EM132920494

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