Assume that Alex would like to purchase a combination of product A and product B such that, after he is done spending his limited income, the MUa / Pa = 8 and MUb / Pb = 4. To maximize utility without spending more money, Alex should

a. purchase less of productA and more of product B
b. make no change in purchases of productsA and B
c. purchase more of productA and less of product B
d. purchase more of both productA and product B

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.

Selected data for stick’s design are given as of december 31, year 1 and year 2 (rounded to the nearest hundredth). year 2 year 1 net credit sales $25,000 $30,000 cost of goods sold 16,000 18,000 net income 2,000 2,800 cash 5,000 900 accounts receivable 3,000 2,000 inventory 2,000 3,600 current liabilities 6,000 5,000 compute the following: 1. current ratio for year 2 2. acid-test ratio for year 2 3. accounts receivable turnover for year 2 4. average collection period for year 2 5. inventory turnover for year 2

Dyed-denim corporation is seeking to lower the costs of value creation and achieve a low-cost position. as a result, it plans to move its manufacturing plant from the u.s. to thailand, which based on company research, is the optimal location for production. this strategic move will most likely allow the company to realize