Question: 1. An activity has the optimistic time = 20 minutes, most likely time = 0.5 hours, and pessimistic time = 70 minutes. What is the
1. An activity has the optimistic time = 20 minutes, most likely time = 0.5 hours, and pessimistic time = 70 minutes. What is the mean and variance of the activity time (in minutes)?
| A: | mean = 35; variance = 41.67 | |
| B: | mean = 40; variance = 69.44 | |
| C: | mean = 35; variance = 69.44 | |
| D: | mean = 40; variance = 41.67 |
2. A manager finds that the flow rate can increase by 10% if the total wages of employees increase by 5%. What's the percentage change in the cost of direct labor in such a case?
| A: | Goes down by 5% | |
| B: | Goes up by 5% | |
| C: | Goes up by 4.5% | |
| D: | Goes down by 4.5% |
3. A food stand takes two steps to provide a meal for a customer. There are two workers in the food stand, and each of them is responsible for one step. Step 1 takes 1 minute and step 2 takes 1.5 minutes. Each meal is sold at $12, and the ingredient/material costs are $7 per meal. The wage of each worker is $25 per hour. In addition, there exists a fixed cost of $70 per hour. Assume demand is unlimited. How much profit does the food stand make in an hour?
A: $80
B: $100
C: $125
D: $150
4. Complex Health operates 15 hours a day to produce 2400 bottles of vitamin C per day. It requires 3 minutes for a worker to complete a bottle of the vitamin. What is the takt time of Complex Health in minutes per bottle, and what is the target manpower?
| A: | 0.625; 5 | |
| B: | 0.375; 8 | |
| C: | 0.75; 4 | |
| D: | 0.125; 24 |
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