18. A manufacturer receives an order from a state transport corporation for six buses, to be delivered two at a time over the next three months. Production data for the manufacturer are shown in the following table:

Buses can be delivered to the city at the end of the same month in which they are assembled, or they can be stored by the manufacturer, at a cost of Rs 3,000 per bus per month for shipment during a later month. The manufacturer has no current inventory of these buses and desires none after the completion of this contract.
Formulate this problem as a linear programming problem to determine a production schedule that will meet the corporation demand at minimum cost to the manufacturer.

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Regular production capacity (in units) Overtime production capacity (in units) Regular production cost (Rs 10,000/unit) Overtime production cost (Rs 10,000/unit) Months 2 3 1239 2 3 2 2 35 43 333 40 47 45