13. The management of a company is considering allocation of Rs 80 lakh among its three plants. It has been decided that the allocation to a plant would be either Rs 0, Rs 20, Rs 40, Rs 60 or Rs 80 lakh. A forecast of the yearly returns corresponding to different levels of funds employed is made and presented in the following table.

Determine the optimal allocation of funds to each plant so as to maximise the estimated overall allocation.
Also indicate the second best allocation.

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Amount allocated (in lakhs of Rs) Return (in lakhs of Rs) Plant X Plant Y Plant Z 0 0 0 0 20 40 20 4 6 8 10 12 18 60 30 24 80 28 30 222 22 32