The Farley Manufacturing Company prides itself on the quality of its products. The company is engaged in competition for a very important project. A key element is a part that ultimately goes into precision testing equipment. The specifications are 8.000± 3.000 millimeters. Management is concerned about the capability of the process to produce that part. The accompanying data were randomly collected during test runs of the process. Observation (millimeters)
Sample 1 2 3 4 5 6 7 8
1 7.400 8.400 9.200 8.400 8.300 9.900 9.300 8.900
2 8.000 7.900 7.900 8.900 8.200 8.800 9.300 9.200
3 9.200 8.700 8.700 7.600 9.600 8.500 9.400 8.300
4 9.700 8.600 9.000 9.200 9.600 7.100 9.500 9.500
5 8.900 9.300 7.100 8.900 7.400 7.000 9.900 8.800
The process capability​ index, Cpk​, is equal to ​(Enter your response rounded to three decimal​places.)
Assume that the process is in statistical control. Is the process capable of producing the part at the four​-sigma ​level? Explain.
Since Cp equals the process is:
(a)not capable because there are too many parts outside of the allowable tolerances/b)is not capable because the process is not centered correctly/c)is capableb?

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.1 20.03farm.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.

Sweeten company had no jobs in progress at the beginning of march and no beginning inventories. the company has two manufacturing departments--molding and fabrication. it started, completed, and sold only two jobs during march—job p and job q. the following additional information is available for the company as a whole and for jobs p and q (all data and questions relate to the month of march): molding fabrication total estimated total machine-hours used 2,500 1,500 4,000 estimated total fixed manufacturing overhead $ 10,000 $ 15,000 $ 25,000 estimated variable manufacturing overhead per machine-hour $ 1.40 $ 2.20 job p job q direct materials $ 13,000 $ 8,000 direct labor cost $ 21,000 $ 7,500 actual machine-hours used: molding 1,700 800 fabrication 600 900 total 2,300 1,700 sweeten company had no underapplied or overapplied manufacturing overhead costs during the month. required: for questions 1-8, assume that sweeten company uses a plantwide predetermined overhead rate with machine-hours as the allocation base. for questions 9-15, assume that the company uses departmental predetermined overhead rates with machine-hours as the allocation base in both departments. 1. what was the company’s plantwide predetermined overhead rate? (round your answer to 2 decimal places.) next

Uppose that the federal reserve purchases a bond for $100,000 from donald truck, who deposits the proceeds in the manufacturer’s national bank. what will be the impact of this purchase on the supply of money? the money supply will increase by $100,000. the money supply will increase by $80,000. the money supply will increase by $500,000. this action will have no effect on the money supply. if the reserve requirement ratio is 20 percent, what is the maximum amount of additional loans that the manufacturer’s bank will be able to extend as the result of truck’s deposit? the maximum additional loans is $100,000. the maximum additional loans is $80,000. the maximum additional loans is $20,000. the maximum additional loans is $500,000. given the 20 percent reserve requirement, what is the maximum increase in the quantity of checkable deposits that could result throughout the entire banking system because of the fed’s action? this action will have no effect on the money supply. the money supply will eventually increase by $80,000. the money supply will eventually increase by $500,000. the money supply will eventually increase by $100,000.