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A small plant makes two types of automobile parts Part A and Part B. It buys castings that are machined, bored and polished. You are given the following data.

Castings for Part A cost Rs. 20/- each and for Part B they cost Rs. 30/- each. They sell for Rs. 50/- and Rs.60/- respectively. The three machines have running costs of Rs. 200/-, Rs.140/- and Rs. 175/- per hour. Assuming that any combination of Part A and B can be sold. Formulate a linear programming model.