Suppose that a price p and demand x are related through the price-demand equation x+400p=8,000. Calculate the value of p such that the elasticity of demand is equal to one.

When Green Eggs and Ham are sold for $4.00 per apple at Whoville, approximately 2500 servings are sold. When the price is raised to $4.50 per Green Eggs and Ham, the number of servings sold drops to 2250. The cost of producing and shipping the Green Eggs and Ham can be modeled by, C = 3000 + .6x Assuming that the demand function is linear, what price will yield a maximum profit

The demand function for a good is given by the equation P = a − bQ while the totalcost function is TC = dQ2 + eQ + f, where a, b, d, e and f are positive constants.(a) Derive the equation for profit.(b) Derive an expression for the value of Q for which profit is maximised.

1.     Suppose that the straight line of a demand equation passes through points (10, 20) and (5, 30). Find the demand equation.