Finding Interest

Attached are the examples I have started and were unable to finish and the ones which I simply cannot do. Please assist me.

If a monopolist has an own-price demand elasticity of -0.8, is he maximizing profit?

If a monopolist has an own-price demand elasticity of -0.8, is he maximizing profit? Explain.

Monopolist Demand and Cost Function

Let the demand and cost functions of a monopolist be: P= 100-3q+4√A C=4q2+10q+A where P=price, q= quantity, A=advertising What is the level of q and A that max profit?

Basic Oligopoly Models

Consider a duopoly with product differentiation in which the demand and cost function are: Q1 = 88 – 4P1 + 2P2 C1 = 10q1 Q2 = 56 + 2P1 – 4P2 C2 = 8Q2 Derive a price reaction function for each firm on the assumption that each maximizes its profit with respect to its own – price elasticity Determine equilibrium value of price, quantity and profit for each seller. Also see it in the attached file please.

Managerial Economics

Is the following sentences true or false and why (please give mathematical or graphical explanation when needed)? 1. Empirical studies often indicate that the long- run average cost curve for PC industry is J –shaped 2. a profit- maximizing monopolist will always choose on output in the short run where the average total cost is less than average revenue. 3. Marginal Revenue is the ratio of the valve of sales to the amount of sales. 4. The income elasticity of demand for food is very high