A small plant makes two types of automobile parts. It buys castings that are machined, bored and polished (capacities are given in Table). Castings for part A cost Rs. 2: for part B they cost Rs. 3 each. They sell for Rs. 5 and Rs. 6 respectively. The three machines have running costs of Rs. 20, Rs. 14 and Rs. 17.50 per hour.
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Part A
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Part B
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Machining Capacity
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25 per hour
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40 per hour
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Boring Capacity
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28 per hour
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35 per hour
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Polishing Capacity
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35 per hour
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25 per hour
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Assuming that any combination of parts A and B can be sold, what product mix maximizes profit?