The natural rate of unemployment is the rate of unemployment (a) that occurs when the money market is in equilibrium (b) that occurs when the markup of prices over costs is zero (c) where the markup of prices over costs is equal to its historical value (d) that occurs when both the goods and financial markets are in equilibrium

Consider the local telephone company, a natural monopoly. the following graph shows the monthly demand curve for phone services and the company’s marginal revenue (mr), marginal cost (mc), and average total cost (atc) curves. 0 2 4 6 8 10 12 14 16 18 20 100 90 80 70 60 50 40 30 20 10 0 price (dollars per subscription) quantity (thousands of subscriptions) d mr mc atc 8, 60 suppose that the government has decided not to regulate this industry, and the firm is free to maximize profits, without constraints. complete the first row of the following table. pricing mechanism short run long-run decision quantity price profit (subscriptions) (dollars per subscription) profit maximization marginal-cost pricing average-cost pricing suppose that the government forces the monopolist to set the price equal to marginal cost. complete the second row of the previous table. suppose that the government forces the monopolist to set the price equal to average total cost. complete the third row of the previous table. under average-cost pricing, the government will raise the price of output whenever a firm’s costs increase, and lower the price whenever a firm’s costs decrease. over time, under the average-cost pricing policy, what will the local telephone company most likely do

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

If jobs have been undercosted due to underallocation of manufacturing overhead, then cost of goods sold (cogs) is too low and which of the following corrections must be made? a. decrease cogs for double the amount of the underallocation b. increase cogs for double the amount of the underallocation c. decrease cogs for the amount of the underallocation d. increase cogs for the amount of the underallocation