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The demand equation and average cost function of a manufacturing firm are given by 200 =...

The demand equation and average cost function of a manufacturing firm are given by 200 = p+4q and AC = 0.8q^2 + 4 + (25/q) respectively, where q is the number of units produced. Using the information provided above, please answer the following questions (a) Determine the amount of profit when it is maximized. (b) Determine the amount of average cost at which maximum profit occurs. (c) Determine the marginal cost of the product when profit is maximized? (d) Given that the government now imposes a tax of $5 per unit on the product the company sells and the company intends to transfer the whole burden of this tax to the shoulders of customers by raising price, compare between the post-tax revenue and the pre-tax revenue under profit maximizing condition.

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