(a) Teddy is a manufacturer of dish washing liquid. If his monthly demand function for 750ml size is q= 4000 - 250p and his total cost function is C(q) = 500 + 0.24. (1) Derive an expression, R(q) for Teddy l's total revenue curve. (11) Derive an expression, n(q) for Teddy J's profit function. (i1) Determine whether Teddy 's profit is increasing or decreasing when he produces 5 hundred, 750ml bottles of dish washing liquid. (iv) How many 750ml bottles of dish washing iquid should Teddy ] produce per month if he wishes to maximize his profits.

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