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The demand and total cost functions for a monopolist are given as Demand function: P=120-5Q................(1) Total cost functions: TC=4/30Q^3 - 2Q^2+18Q +60 ..............(2) (a) Derive

The demand and total cost functions for a monopolist are given as

Demand function: P=120-5Q................(1)

Total cost functions: TC=4/30Q^3 - 2Q^2+18Q +60 ..............(2)

(a) Derive the Total Revenue function and calculate the level of output to give maximum Total Revenue.

(b) Calculate the break-even level of output.

(c) Calculate the level of output to give maximum profits (or minimum losses).

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