2. A company manufactures 3 types of parts which use precious metals platinum and gold. Due to shortage of these precious metals, the government regulates the amount that may be used per day. The relevant data with respect to supply, requirements, and profits are summarised in the table as follows:

Daily allotment of platinum and gold are 160 gm and 120 gm respectively. How should the company divide the supply of scarce precious metals?
Formulate it as a linear programming problem.

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Product Platinum required/unit (gms) Gold required/unit (gms) Profit/unit (Rs) ABC 24 6 324 500 600 1,200