Question: You are asked to design a covered conical pit to store 50 m3 of waste liquid. Assume excavation costs at $100/m3, side lining costs at

You are asked to design a covered conical pit to store 50 m3 of waste liquid. Assume excavation costs at $100/m3, side lining costs at $50/m2, and cover cost at 25/m2. Determine the dimensions of the pit that minimize cost

(a) If the side slope is unconstrained and

(b) If the side slope must me less than 45^o.

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