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accurate work. If you only provide the final answers without showing your computations, you will not be assigned a full score (or you will miss the opportunity of receiving partial credit).
Problem 1: Efficiency, Utilization and Cycle Time (10 points)
You have started a lawn mowing business and need to measure how your business has been performing. You have determined that the standard time to mow a half acre yard is 60 minutes. Your company’s theoretical capacity is 27 yards per day and your company’s rated capacity is 19yards per day. Yesterday your company mowed 17 yards.
One of your employees, John, took 70 minutes to complete the last half acre yard he mowed. What was his efficiency? (2 points)
What was your company’s efficiency yesterday? (2 points)
What was your company’s utilization yesterday? (2 points)
You recorded the following times for one of your employees yesterday. Use this table to answer
questions d and e.
|
Step |
Action |
Standard Time (minutes) |
|
1 |
Put gas in the lawn mower |
2 |
|
2 |
Load mower into truck |
2 |
|
3 |
Drive to customer’s house |
20 |
|
4 |
Unload mower from truck |
2 |
|
5 |
Mow customer’s lawn |
60 |
|
6 |
Load mower into truck |
2 |
|
7 |
Return to company |
20 |
|
8 |
Unload mower from truck |
2 |
Which step is the only value-added activity in this process? (2 points)
What is the Percent of Value Added Time for this process? (2 points)
Problem 2: Breakeven, Total Cost and Expected Value (9 points)
You are planning to open a bakery that specializes in cupcakes. You know the variable cost to make one cupcake is $0.50 and you expect to sell them for $3.00 each. The location you are considering has a fixed cost (rent, utilities, taxes, etc.) of $5,000 per month. You are unsure what the demand for your cupcakes will be, but have done some market research and estimated the following demand scenarios and probability of eachlevel of demand.
|
Demand Level |
Monthly Cupcakes Sold |
Probability |
|
Low Demand |
1,500 |
30% |
|
Medium Demand |
5,000 |
50% |
|
High Demand |
12,000 |
20% |
How many cupcakes do you need to sell each month to break even? (3 points)
What is the total monthly cost (fixed plus variable) for your bakery if there is low demand for cupcakes? (3 points)
What is the expected value of the total monthly cost for your bakery? (3points)
Problem 3: Theory of Constraints (6 points)
The manufacturing company you work for has a four step assembly process shown in the flow diagram below.
Process 1
Capacity =
60 units/hr
Process 2
Capacity =
70 units/hr
Process 3
Capacity =
80 units/hr
Process 4
Capacity =
40 units/hr
What is the maximum output this assembly process could produce in 8 hours? (2 points)
If the capacity of Process 3 is increased to 90 units/hour, how many units can be assembled in 8 hours? (2 points)
If the capacity of Process 4 is increased to 90 units/hour, how many units can be assembled in 8 hours?
