A mango-processing unit produces mango juice only during the four months mangoes are harvested. The following diagram shows the production capacities in liters, demand for juice in liters, production cost per liter of juice in rupees shown above the arrows and holding cost of juice per liter per month in rupees shown to the right of vertical arrows.

The objective of the processing unit is to determine a production scheduling and inventory policy to minimize the combined production and holding costs.
a. Formulate a linear programming model for the problem using the network concept. 

b. Solve the problem using computer.

Transcribed Image Text:

Capacity 600 350 550 500 Production Month 1 Node 1 Production Month 2 Node 2 Production Month 3 Node 3 Production Month 4 Node 4 3 4 5 4 Demand Month 1 Node 5 0.5 Demand Month 2 Node 6 0.5 Demand Month 3 Node 7 0.5 Demand Month 4 Node 8 Demand 450 450 600 500