Question 5 A company manufactures two different products: Alpha and Beta. Each o
ID: 356866 • Letter: Q
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Question 5 A company manufactures two different products: Alpha and Beta. Each of this product must be processed by machine K. The company has several identical machines K. The company uses a 15 percent capacity cushion. The unit processing time (minutes per unit), lot size (units per lot), and the setup time (hours per lot) are shown below Product Alpha; 18 minutes per unit; 150 units per lot; 5.6 hours per lot; Product Beta; 24 minutes per unit; 110 units per lot; 4.4 hours per lot The company operates two 8 Not yet Points out of 1.00 Flag question -hour shifts per day, 248 days per year How many machines are required to meet the yearly demand of 46200 units of Alpha and 28160 units of Beta? Use at least 4 decimals in your calculation and answer Do not use any comma in your answer You must show you r calculation steps on your spreadsheet. The required total setup time is hou rs per year. The required number of machines K is Previous page Finish attempt.Explanation / Answer
Calculation for alpha :
Number of lots to be produced = 46200 / 150 =308
Total time required to produce 46200 units in 150 lots
= 18 minutes/ unit x 46200units + 5.6 hours/ lot x 308 lots
=0.3 hours/ unit x 46200 units + 5.6 hours/ lot x 308 lots
= 13860 hours + 1724,8 hours
= 15584.80 hours
Calculation for Beta :
Number of lots to be produced = 28160 / 110 =256 lots
Total time required to produce 28160 units in 256 lots
= 24 minutes/ unit x 28160 units + 4.4 hours/ lot x 256 lots
= 0.4 hours / unit x 28160 + 4.4 hours/ lot x 256 lots
= 11264 hours + 1126.4 hours
= 12390.40 hours
Therefore , total time required to produce above quantities of alpha and beta
= 15584.80 + 12390.40
= 27975.20 hours
Let gross machine available time = T
Considering 15 percent capacity cushion , net machine available time = 0.85.T
Therefore , 0.85.T = 27975.20
Or, T = 27975.20 / 0.85
Or, T = 32912
Amount of time a machine is available in a year = 2 x 8 hours shift/ day x 248days =3968 hours
Therefore required number of machines = 32912/ 3968 = 8.2943
Required total set up time ( as already calculated above ) = 1724.80 + 1126.40 hours =2851.20 hours
THE REQUIRED TOTAL SET UP TIME = 2851.20 HOURS
REQUIRED NUMBE ROF MACHINES = 8.2943
THE REQUIRED TOTAL SET UP TIME = 2851.20 HOURS
REQUIRED NUMBE ROF MACHINES = 8.2943
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