MMC has a chocolate factory in Leicester City, England. It makes three kinds of

Question

MMC has a chocolate factory in Leicester City, England. It makes three kinds of Chocolate: milk chocolate, mint chocolate and dark chocolate. It cycles between producing these three products. Next Table provides data on these three products. Mint Dark Chocolate Milk Chocolte Chocolate Demand (kg/hour) 10 15 5 Setup time (minutes 45 30 75 The line produces them at the same rate (when operatingl: 50 kg per hour. One kind of chocolate is produced at a time. Suppose MMC produces 50 kg of Milk chocolate, 75 kgs of mint chocolate, and 25 kgs of dark chocolate in each cycle. What is the utilization of the process?

Explanation / Answer

Hence the Utilization of the cycle is: 54.55%

B.

For optimal cycle time Demand of each = Supply of each

Demand in time t = (10)*(t + 0.75 + 0.5 +1.25)

Supply in time t = 50(t)

50t = 10t + 2.5*10

40t = 25

t= 25/40 hours = 25*60/40 = 37.5 mins

So units 37.5 * 50 /60 = 31.25 so batch size is 32

Milk Mint Dark Cycle Utilization D Demand 10 15 5 S Setup 45 30 75 150 R Production rate 50 50 50 B Batch 50 75 25 BT Batch time (Min) 60 90 30 180 (BT/TT) TT Total time (Min) 105 120 105 330 54.5% Ans Hours 5.5 Cycle time (5.5*D) Demand Actual in this time 55 82.5 27.5 Able to meet 50 75 25 % Target 90.91% 90.91% 90.91%

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