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    Group AB2

    Aj it h S Nat h 13503

    Komal Jalan 13523

    Payal Singh 13533

    Simran Malani 13545

    Varun Chhabra - 13557

    NATURAL BLENDS

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    CASE OVERVIEW

    Capacity

    Extraction: 20,000 pounds/hour

    Filtration: 20,000 pounds/hour

    Concentration: 18,000 pounds/hour

    Cycle time

    Extraction: 20,000 pounds/hour + 10,000 pounds/30 minutes

    Filtration: 20,000 pounds/hour + 10,000 pounds/30 minutes

    Concentration: 18,000 pounds/hour + 9,000 pounds/30 minutes

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    Q1(A) HOW MUCH ORANGE JUICE CONCENTRATE CAN BEPRODUCEDINONE 8-HOUR WORKDAY?

    Cycle time: 2 hours

    Bottleneck at concentration:

    Extraction: 30,000 pounds/2 hours

    Filtration: 30,000 pounds/2 hoursConcentration: 27,000 pounds/2 hours

    13,500 pounds/hour

    So, 13500 pounds/ hours * 8 hours= 1,08,000 pounds

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    Q1(B) ASSUME EXTRACTION HAD PREVIOUSLY BEENSETUP FOR THE SIZE ORANGES BEING PROCESSED.

    HOW MUCH IDLE TIME WILL THERE BE IN THEEXTRACTION OPERATION DURING ONE 8-HOURWORKDAY?

    Process 2 (extraction) should wait and follow the operation time of Process 3since it should be shutting down for 30min for filter change after operate 90min.

    Then during 8hr, process 2 have 4 idle times

    (=8hrs/2hrs)

    Idle time =4 x 30min = 120min / 2hrs

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    Q2(A) IF YOU COULD ADD STORAGE CAPACITYSOMEWHERE BETWEEN STEPS TWO AND FOUR INTHIS PRODUCTION LINE IN ORDER TO INCREASEDAILY OUTPUT, WHERE WOULD YOU PLACE IT? HOWMUCH STORAGE WOULD YOU ADD?

    We will put 1 storage between process 3

    (filtration) and process 4 (concentration) with capacity 3000lbs toaccommodate the output from process 3 since the production timeand speed is not the same between process 3 and 4

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    Q2(B) WHY ?

    Process 3 after operate for 90min, it can produce 30,000 lbs oforange juice (20,000 lbs/hr)

    But, the process 4 only have production capacity 18,000 lbs/hr andfor 90min operation it only can proceed 27,000 lbs

    Meanwhile the total output fromprocess 3 are 30,000 lbs

    So, in order to produce more output we can add storage capacitybetween process 3 & 4.

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    Q3 A IF THE COST OF ADDING STORAGE WAS 30$/POUND ANDTHE COST OF REDUCING SETUP TIME BY 50% USING

    ADDITIONAL FIXTURES WAS $20000 FOR THE FILTER PROCESS

    AND $ 10000 FOR THE EXTRACTION PROCESS , WHAT ACTIONWOULD YOU RECOMMEND IN ORDER TO MAXIMISE THISOUTPUT OF THE PRODUCTION LINE?

    Step 2: Extraction

    Operation: 6 hours

    Setup: 2 hours

    Total production: 20,000*6=1,20,000 pounds in 8 hours

    Average= 15,000 pounds/hour

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    Step 3: Filtration

    Operation: 6 hours

    Setup: 2 hours

    Total production: 20,000*6=1,20,000 pounds in 8 hours

    Average= 15,000 pounds/hour

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    Step 4: ConcentrationOperation: 8 hours

    Production: 8*18,000 pounds= 1,44,000 pounds

    Average: 18,000 pounds/hour

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    Add storage capacity in step 2 & step 3 because they arebottleneck,

    So, we can add storage capacity of 1,44,000-1,20,000=24,000

    pounds

    Q3(B)

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    Reducing setup time means additional hour can be used for production.

    (50% of setup time (2 hours)= 1 hour)

    So, Increased production capacity for filtration and extraction: 20,000 pounds

    Cost of additional capacity (step 2): 20,000*30 + 10,000=6,10,000 $

    Cost of additional capacity (step 3): 20,000*30 + 20,000=6,20,000 $

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    So, 20,000 pounds more can be produced if setup time isdecreased by 50%

    If we dont consider bottleneck, reducing setup time for step 2should be recommended, because it processes same pounds at

    step 3 does but It costs less.

    Else we have to carry out both step 2 and step 3.

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    Q4(A) HOW OFTEN DURING 8-HOUR WORKDAY WOULD YOUHAVEASETUPCHANGE IN THE EXTRACTION PROCESS ?

    Minimum: 2 times of switch

    Maximum: 6 times1,20,000/20,000= 6 times

    8-6=2 hours

    2 hours/ 20 minutes setup time= 6 times

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    AVERAGE CAPACITY FOR FILTRATION

    Action Time Production

    Filtering 90mins 20000 x 1.5

    Shut down time 30 0

    Total 120mins 30000

    Capacity 15000/hr

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    AVERAGE CAPACITY FOR JUICE CONCENTRATION ANDEXTRACTION

    Average capacity for juice concentration is 18000 pounds per hour.

    Average capacity of extraction is a direct function of the number of setups per day done.

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    SETTING UP EXTRACTION

    To extract all three types of oranges, the minimum number of setup needed is two times a

    day.

    The maximum number of setups possible is 6 times a day.

    The maximum number of setups is arrived with the assumption that theextraction process can run in cycles of one hour each.

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    SETTING UP SIX TIMES A DAY

    Particulars Per day Per weekNumber of extraction

    runs per orange 2 12

    Production per orange

    40,000 pounds 240000 pounds

    Total extraction runs 6 36

    Total production 120,000 pounds 720,000 pounds

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    PROFIT CALCULATIONS PER CONTRACT

    Contract Number of

    orders

    Quantity

    of orders

    Contributi

    on per

    pound

    Time per

    order

    Total time

    for

    contract

    Total

    volume in

    pounds

    Total

    profit

    A 24 8000 0.03 61.6 1478.4 192000 5760

    B 18 16000 0.028 83.8 1508.4 288000 8064

    C 15 24000 0.026 105.4 1581 360000 9360

    D 10 18000 0.024 89.2 892 180000 4320

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    PROFIT PER TIME FOR EACH CONTRACT

    Contract Total time inmins Total profit Profit per time

    A 1478.4 5760 3.896104

    B 1508.4 8064 5.346062

    C 1581 9360 5.920304

    D 892 4320 4.843049

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    WHAT TO MANUFACTURE?

    Why cant B and C be produced together.

    Time required in minutes Total time in hours

    Total setup time

    required(18+15)x 40 22

    Total quantity16000 x 18 + 24000

    x 15 = 38880030

    Total hours per

    week required52

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    WHAT TO MANUFACTURE ?

    Contracts C and D should be manufactured.

    The total profit from the two contracts will be 13680.

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    TIME TAKEN FOR BLENDING CONTRACT A

    Time consumed in blending operation is a function of set up time and production time.

    Rate Total time

    Set up 40 mins / set up 40 mins

    Production 22000pounds/ hr 21.6 mins

    Total 61.6 mins

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