1. A Kansas farmer owns 100 acres of land on which she plans to grow wheat and corn. Each acre of wheat requires 5 hours of labor and $20 of capital, and each acre of corn requires 4 hours of labor and $40 of capital. The farmer has at most 800 hours of labor and $2,400 of capital available. The profit from an acre of wheat is $80 and that from an acre of corn is $100. The farmer would like to determine how many acres of each crop she should plant to maximize her profit. To this end, she formulates this as a linear programming problem. a) [2 points] Introduce names for the necessary number of control parameters for this problem. b) [2 points] Give the objective function the farmer needs to maximize. c) [2 points] What constraint is imposed due to the labor limitation

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.

The cost of labor is significantly lower in many countries than in the united states. if you move manufacturing to a facility to a country labeled as part of the axis of evil and a threat to world peace you will increase the net income of your client by $10 million per the facility is located in a country which limits personal freedom and engages in state sponsored terrorism. imagine you are a marketing consultant. (a) what would you tell the executives to do? (b) what are the alternatives? what are your recommendations? why do you recommend this course of action?

According to ceo heidi ganahl, camp bow wow requires a strong and consistent corporate culture to keep all local franchise owners "on the same page" and to follow a common template for the business and brand. this culture could become detrimental over time because: (a) strong consistent cultures are inflexible and incapable of adapting to environmental change (b) strong consistent cultures are too flexible and capable of adapting to environmental change (c) strong consistent cultures don’t perform well in any environment (d) the passing of time provides stability and predictability for businesses