Assume you are given a minimization linear program that has an optimal solution. The problem is then modified by changing a greater-than-or-equal-to constraint in the problem to a less-than-or-equal-to constraint. Is it possible that the modified problem is infeasible? Answer yes or no and justify. a. Yes, it is possible that the modified problem is infeasible. Modifying one constraint as described could cause the regions to produce alternate optimal solutions. b. Yes, it is possible that the modified problem is infeasible. Modifying one constraint as described could cause the regions to no longer overlap. c. No, it is not possible that the modified problem is infeasible. Modifying one constraint as described will result in an unbounded solution. d. No, it is not possible that the modified problem is infeasible. Modifying one constraint as described has no effect on the feasible region of the other constraints. e. No, it is not possible that the modified problem is infeasible. Modifying one constraint as described will result in alternate optimal solutions.

Identify which of the twelve basic functions listed below fit the description given.

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.

1.     regarding general guidelines for the preparation of successful soups, which of the following statements is true? a. thick soups made with starchy vegetables may thin during storage. b. soups should be seasoned throughout the cooking process. c. finish a cream soup well before serving it to moderate the flavor. d. consommés take quite a long time to cool. student c   incorrect