Chapter 4 (include your formulations, solver files, and optimal solutions)

Suisan Fish Company contracts with fishers in Hilo, Kona, and Puna, Big Island to purchase fishes. The fishes are cleaned and stored at the local processing facilities. Then the fishes are shipped to two plants, where they are cut, processed, and packaged as sushi and sashimi. The sushi and sashimi are then transported to three restaurants. The transportation costs per fish from the fishers to the plants and from the plants to the restaurants are summarized in the following tables:

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Plant

Fisher Plant 1 Plant 2 Plant 3 Supply

Hilo $420 $390 610 55

Kona $510 $590 470 78

Puna $450 $360 480 37 -------------------------------------------------------------------------

Restaurant

Plant BTS Sushi Kentucky Fried Sushi Ken's Sushi House

Plant 1 $75 $63 $81

Plant 2 $125 $110 $95

Plant 3 $68 $82 $95

Demand 60 45 50 --------------------------------------------------------------------------------------------------------------

a. Determine the optimal shipments from fishers to plants and from plants to restaurants to minimize total transportation costs. Include the formulation and solver outputs.

b. What would be the effect on the solutions if the capacity at each plant were 70 fishes? (Hint: add one constraint for each plant that either the sum of incoming shipments or outgoing shipments is less than or equal to 70)