Suppose that the market demand for 32-oz. wide mouth Nalgene bottles is Q = 50,000p^-1.076, where Q is the quantity of bottles per week and p is the price per bottle. The market supply is Q = 0.01p^7.208. What is the equilibrium price and quantity? What is the consumer surplus? What is the producer surplus?

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.

Kenney co. uses process costing to account for the production of canned energy drinks. direct materials are added at the beginning of the process and conversion costs are incurred uniformly throughout the process. equivalent units have been calculated to be 19,200 units for materials and 16,000 units for conversion costs. beginning inventory consisted of $11,200 in materials and $6,400 in conversion costs. april costs were $57,600 for materials and $64,000 for conversion costs. ending inventory still in process was 6,400 units (100% complete for materials, 50% for conversion). the total cost per unit using the weighted average method would be closest to:

rural residential development company and suburban real estate corporation form a joint stock company. the longest duration a joint stock company can be formed for is