Explain what is the capacity utilization rate

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1. A manufacturing shop is designed to operate most efficiently at an output of 550 units per day. In the past month the plant produced 490 units. What was its capacity utilization rate last month?

2. A company has a factory that is designed so that it is most efficient (average unit cost is minimized) when producing 15,000 units of output each month. However, it has an absolute maximum output capability of 17,250 units per month, and can produce as little as 7,000 units per month without corporate headquarters shifting production to another plant. If the factory produces 10,925 units in October, what is the capacity utilization rate in October for this factory?

3. Hoosier Manufacturing operates a production shop that is designed to have the lowest unit production cost at an output rate of 100 units per hour. In the month of July, the com­pany operated the production line for a total of 175 hours and produced 16,900 units of output. What was its capacity utilization rate for the month?

4. AlwaysRain Irrigation, Inc., would like to determine capacity requirements for the next four years. Currently two production lines are in place for making bronze and plastic sprinklers. Three types of sprinklers are available in both bronze and plastic: 90-degree nozzle sprinklers, 180-degree nozzle sprinklers, and 360-degree nozzle sprinklers. Man­agement has forecast demand for the next four years as follows:

 

YEARLY DEMAND

I ON 000s)

2 ON 000s)

3 ON 000s)

4 ON 000s)

Plastic 90

32

44

55

56

Plastic 180

15

16

17

18

Plastic 360

50

55

64

67

Bronze 90

7

8

9

10

Bronze 180

3

4

5

6

Bronze 360

11

12

15

18

Both production lines can produce all the different types of nozzles. The bronze machines needed for the bronze sprinklers require two operators and can produce up to 12,000 sprinklers. The plastic injection molding machine needed for the plastic sprinklers re­quires four operators and can produce up to 200,000 sprinklers. Three bronze machines and only one injection molding machine are available. What are the capacity require­ments for the next four years? (Assume that there is no learning.)

5. Suppose that AlwaysRain Irrigation's marketing department will undertake an intense ad campaign for the bronze sprinklers, which are more expensive but also more durable than the plastic ones. Forecast demand for the next four years is

 

YEARLY DEMAND

I ON 0005)

2 (IN 000s)

3 ON 0005)

4 (IN 000s)

Plastic 90

32

44

55

56

Plastic 180

15

16

17

18

Plastic 360

50

55

64

67

Bronze 90

11

15

18

23

Bronze 180

6

5

6

9

Bronze 360

15

16

17

20

What are the capacity implications of the marketing campaign (assume no learning)?

Reference no: EM13734728

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