1. The third unit of an aircraft hangar project was completed in 2700 hours. The fifteenth unit was built in 2100 hours. What is the learning rate (based on doubled units)? How long would it take to build the hundredth unit?
2. A tower (the first one) was installed in 900 hours. The improvement rate for doubled units is expected to be 90%.
a. What will be the time required to complete the fifth tower?
b. The thirtieth tower?
3. The "A" value for 5 sluice gate installations was 160 hours (learning 0.90 for doubled averages). Find the average time to install 25 sluice gates. What is the time required to install the twentieth sluice gate?
4. The cumulative average time for constructing 30 electrical assemblies is 170 hours. The rate of learning for doubled averages is about 0.95.
a. How much time was consumed in building the fiftieth unit?
b. What was the total time required for all units after 100 units were completed?
c. What total hours were needed to assemble units 100 through 150?
5. The learning rate of 0.90 on cumulative averages is realized when constructing metal storage tanks. The first unit took 1400 hours to construct. After 6 units were constructed, the hunting season opened and the entire work crew took off a total of 5 days.
a. Ignoring the impact of weekends, determine the time required to complete units 7 through 12.
b. If wages are $10 per hour, what was the cost of the hunting season in terms of lost productivity?
6. A learning rate of 92% on cumulative averages is realized when constructing metal storage tanks. The first tank took 1200 hours to construct. After 6 tanks were constructed, the work was stopped for two days, after which the work was resumed. Find the time required to complete units 7 through 10.
a. If wages are $15 per hour, what was the cost of the delay from lost productivity?
b. What was the total cost of constructing 15 tanks?
7. Study the following data: unit #1, labor cost/unit of $1000; unit #5, labor cost/unit of $900; and unit #25, labor cost/unit of 4810. Based on the trend of production costs on these units, develop a formula that will be usable to predict future costs; that is, find the value of s. Find the cost for unit 100.
8. A contractor has kept accurate records on the installation of pressure vessels in a refinery. She has the following data: Unit # 3, A = 1530; Unit #4, A = 1450; Unit #7, A = 1370; Unit #10, A = 1325; Unit #12, A= 1300; Unit#15, A= 1275. A strike delayed further installations for two weeks (16 days), before the 16th unit could be installed. The contractor had a crew size of 11 workers who receive an average wage of $18 per hour. The rental on the equipment and the company overhead is $500 per day. The contractor noted that she broke even after having completed the eighth unit.
a. Find the theoretical time to complete the first unit.
b. Find the learning rate (in percent).