Consider A firm's demand and cost functions

Q = 170 P

TC = 100 10Q + 2Q²

(a)Determine the profit-maximisation level of output.

(b) Determine the total profit generated by the optimal output level as in (a) above

(c) Determine the marginal revenue of producing and selling one unit beyond the optimal output level as in (a) above and interpret its meaning.

(d) Elucidate why the firm may not produce and sell that one more unit as in (c) above.

(e) Determine the revenue-maximising output level and suggest a reason the firm may pursue to revenue-maximising, rather than profit-maximising, strategy.