slove problems with steps please 12. (9 points) The weekly output of a productio

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slove problems with steps please

12. (9 points) The weekly output of a production process is shown below, together with data for labor and material inputs Overhead is charged weekly at the rate of $1500 plus 0.5 times direct labor cost. Assume a 40-hour week and an hourly wage of S16. Material cost is $10 per foot. Did the multi-factor productivity of this process increase or decrease from week I to week 2? By how much (i.e. the percentage change)? Week Output Workers Material (ft) Answer: Productivity increased i decreased (circle one) by 364 412 2500 2840 percent. 13. (12 points) The Coquille Refinery Corporation is contemplating building a crude-oil storage and docking facility on the southern coast of France. A review of past production records of refineries in the area suggests the crude-oil demand per is normally distributed with a mean of 200,000 barrels and a standard deviation of 50,000 barrels. Simulate the number of barrels received for two days and calculate the average number of barrels demanded. Use the first two random numbers (15 and 88) from Column 9 in Table 18S1 (the next to the last page of the table packet). Answer: Crude-oil demand: Day 1, barrels; Day 2, barrels; Mean, barrels. 14. Customers arrive at a suburban ticket outlet at the rate of 14 per hour on Mondays (assume this can be described by a Poissor distribution) There is one ticket agent on duty. Selling the tickets and providing general information takes an average of 3 minutes per customer, and varies exponentially (6 points) a. What is the probability that more than three customers will be a h ticket outlet at the sametime? Answer: The probability that more than three customers will be at the ticket outlet is (6 points) b. In a typical cigh-hour day, how many hours will the ticket agent be idle? The ticket agent will be idle an average of hours in an eight-hour day Answer: What would the service time need to be reduced to (it is currently 3 minutes per customer) in order to provide a service level such that half of the customers would not need to wait at all? (6 points) c. minutes per customer Answer: The service time would need to be reduced to

Explanation / Answer

12: Multifactor productivity = Total output/value of all inputs

Output of week 1 = 364.

$ value of workers = 5 workers*40 hour work week*$16 per hour = $3,200

$ value of material = 2500 ft*$10 per foot = $25,000

$ value of overhead = 1500 + (0.5*3200) = 1500+1600 =$3,100

Thus total $ value of all inputs = 3200+25000+3100 = $31,300

Thus multifactor productivity of week 1 = 364 units/$31,300 = 0.011629 units per $

Week 2: Output = 412.

$ value of workers = 6 workers*40 hour work week*$16 per hour = $3,840

$ value of material = 2840 ft*$10 per foot = $28,400

$ value of overhead = 1500+(0.5*3840) = $3,420

Thus total $ value of all inputs = 3840+28400+3420 = $35,660

Thus multifactor productivity of week 2 = 412 units/$35660 = 0.011554 units per $

As we can see that productivity decreased. % change in productivity = (0.011554-0.011629)/0.011629 = -0.6521%

Thus productivity decreased by 0.6521%

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