Question: Use calculus to prove that marginal revenue is positive when a good is inelastic and vice versa.

B. Use calculus to prove that for an inelastic good when price increases total revenue also increases, but when the good is elastic total revenue falls with an increase in price.

C. Use Calculus to derive the quantity that a company should sell in order to maximize profits. Be sure to include any second order conditions necessary to ensure that profit is maximized rather than minimized. Finally draw a graph of total revenue, total costs and profits demonstrating the proper profit maximizing quantity.

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