Waterways packages some of its products into sets for home installations. One set (small) sells for $75 with variable costs of production for the set at $51. Another set (large) sells for $149 with variable costs of $101. The parts for the $75 set take 8 machine hours to produce. The parts for the $149 set take 20 machine hours to produce.
Given the information above, and assuming all of the package sets produced can be sold each month, illustrate the best use of machine-hours. (Round answers to 2 decimal places, e. g. 5.25.)

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

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

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