K Use the price-demand equation x = f(p)=√552-8p to find the values of p for which demand is elastic and the values for which demand is inelastic. Assume that price and demand are both positive.

If a decrease in the price of movie tickets increases the total revenue of movie theaters, this is evidence that demand is a. price elastic. b. price inelastic. c. unit elastic with respect to price. d. perfectly inelastic.

Why is the demand curve with constant unitary elasticity concave?

The Stopdecay Company sells an electric toothbrush for $25. Its sales have averaged 8,000 units per month over the past year. Recently, its closest competitor, Decayfigh ter, reduced the price of its electric toothbrush from $35 to $30. As a result, Stopde cays sales declined by 1,500 units per month. What is the arc cross elasticity of demand between Stopdecays toothbrush and Decayfighters toothbrush? What does this indicate about the relationship between the two products? If Stopdecay knows that the arc price elasticity of demand for its toothbrush is 1.5, what price would Stopdecay have to charge to sell the same number of units as it did before the Decayfighter price cut? Assume that Decayfighter holds the price of its toothbrush constant at $30. What is Stopdecays average monthly total revenue from the sale of electric toothbrushes before and after the price change determined in part (b)? Is the result in part (c) necessarily desirable? What other factors would have to be taken into consideration?