26. The demand and production costs vary from month to month in an industry. The following table contains budgeted information of a firm in this industry on the quantity demanded, the production cost per unit and the production capacity in each of the coming five months.

It is known that the production in any month can meet demand in that month or can be held for the future. The holding cost is Rs 5 per unit per month.
Using this information

(a) formulate a transportation model to assist in the production planning, and

(b) determine what would the optimal plan be.

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Month : Jan Feb Mar Apr May Demand : 200 250 150 80 120 Production Cost : 24 27 32 30 34 Capacity : 250 225 250 200 225