Amanufacturing operation consists of 10 operations. however, five machining operations must be completed before any of the remaining five assembly operations can begin. within each set of five, operations can be completed in any order. how many different production sequences are possible?

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.

One of the growers is excited by this advancement because now he can sell more crops, which he believes will increase revenue in this market. as an economics student, you can use elasticities to determine whether this change in price will lead to an increase or decrease in total revenue in this market. using the midpoint method, the price elasticity of demand for soybeans between the prices of $5 and $4 per bushel is , which means demand is between these two points. therefore, you would tell the grower that his claim is because total revenue will as a result of the technological advancement.

The manager of the quick stop corner convenience store (which never closes) sells four cases of stein beer each day. order costs are $8.00 per order, and stein beer costs $.80 per six-pack (each case of stein beer contains four six-packs). orders arrive three days from the time they are placed. daily holding costs are equal to 5 percent of the cost of the beer. if he were to order 16 cases of stein beer at a time, what would be the average inventory level? a. 0.25 days b. 3 days c. 1 day d. 4 days e. 20 days