AlwaysRain Irrigation, Inc., would like to determine capacity requirements for t
ID: 393498 • Letter: A
Question
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 Plastic 90 Plastic 180 Plastic 360 Bronze 90 Bronze 180 Bronze 360 1 (IN 000s) 31 13 49 2 (IN 000s) 45 14 56 3 (IN 000s) 56 15 65 4 (IN 000s) 54 19 68 17 13 20 4 10 4 12 15 Both production lines can produce all the different types of nozzles. The bronze machines needed for the bronze sprinklers require three operators and can produce up to 18,000 sprinklers. The plastic injection molding machine needed for the plastic sprinklers requires five operators and can produce up to 295,000 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.) (Enter the demand values in thousands Round your answers to 2 decimal places.) Year 1 Year 2 Year 3 Year 4 Plastic 136 Demand for plastic sprinklers Percentage of capacity used Machine requirements Labor requirements 93 141 Bronze Demand for bronze sprinklers Percentage of capacity used Machine requirements Labor requirementsExplanation / Answer
Given:
YEARLY DEMAND
Product
1
(IN 000s)
2
(IN 000s)
3
(IN 000s)
4
(IN 000s)
Plastic 90
31
45
56
54
Plastic 180
13
14
15
19
Plastic 360
49
56
65
68
Bronze 90
8
7
6
17
Bronze 180
4
4
8
13
Bronze 360
10
12
15
20
Calculations are as follows:
Particulars
Year 1
Year 2
Year 3
Year 4
Plastic
Demand for plastic sprinklers
D
93
115
136
141
No. of molding M/c available
N
1
1
1
1
Capacity per machine per year
C
295
295
295
295
Total Capacity available
TC = N*C
295
295
295
295
Percentage of capacity used
% = D/TC x 100
31.53%
38.98%
46.10%
47.80%
Machine requirements
M = D/TC
0.32
0.39
0.46
0.48
Labor required per machine
L
5
5
5
5
Labor requirements
M x L
1.58
1.95
2.31
2.39
Bronze
Demand for plastic sprinklers
D
22
23
29
50
No. of molding M/c available
N
3
3
3
3
Capacity per machine per year
C
18
18
18
18
Total Capacity available
TC = N*C
54
54
54
54
Percentage of capacity used
% = D/TC x 100
40.74%
42.59%
53.70%
92.59%
Machine requirements
M = D/TC
1.22
1.28
1.61
2.78
Labor required per machine
L
2
2
2
2
Labor requirements
M x L
2.44
2.56
3.22
5.56
YEARLY DEMAND
Product
1
(IN 000s)
2
(IN 000s)
3
(IN 000s)
4
(IN 000s)
Plastic 90
31
45
56
54
Plastic 180
13
14
15
19
Plastic 360
49
56
65
68
Bronze 90
8
7
6
17
Bronze 180
4
4
8
13
Bronze 360
10
12
15
20
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