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Logic Flowchart - IR Chemical Processes

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Logic Flowchart - IR Chemical Processes [#permalink] New post 08 Jul 2012, 00:49
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In the flowchart, each rectangular box represents a distinct stage in the production of a 50-kilogram batch of a specialty chemical. Decision points, which are not distinct stages, are represented by diamond shapes. The time required for each stage is indicated in minutes (min). There is no waiting time between stages. Three quarters of all batches do not require additional heating, while half of all batches require a second mixing with hydrochloric acid (HCL); none require a third.

Attachment:
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From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
The average time in minutes that a batch of ingredients to make it all the way through the process shown is:
    IN MINUTES
  • 120
  • 125
  • 140
  • 150
  • 165

The average number of stages that a batch undergoes is:
    AVERAGE STAGES
  • 5.75
  • 6
  • 6.25
  • 6.5
  • 6.75


ANSWERS:
[Reveal] Spoiler:
AVERAGE TIME IN MINUTES: 140
AVERAGE NUMBER OF STAGES: 5.75
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Re: Logic Flowchart - IR Chemical Processes [#permalink] New post 10 Jul 2012, 13:12
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IMO...The answers should be 140 mins and 5.75 batches...

Let's take 4 batches...

1. Total time for 4 batches will be = 120 (30*4) + 20 (3/4th do not need reheating so 20*1) + 20 (5*4) + 80 (20*4) + 40 (1/2 batches need HCL remixing so 20*2) + 40 (10*4) + 240 (60*4) = 560mins. Hence avg time is 140 mins (560/4).

2. Total stages for 4 batches will be = 4 (1*4) + 1 (3/4th do not need reheating so 1*1) + 4 (1*4) + 4 (1*4) + 2 (1/2 batches need HCL remixing so 1*2) + 4 (1*4) + 4 (1*4) = 23. Hence avg stages is 5.75 (23/4).
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Re: Logic Flowchart - IR Chemical Processes [#permalink] New post 17 Sep 2012, 23:52
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Understand nothing. pls, explain more detailly.
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Re: Logic Flowchart - IR Chemical Processes [#permalink] New post 20 Sep 2012, 01:55
If we translate the statement "Three quarters of all batches do not require additional heating" to the probability as following: 3/4 of a batch requires 0 heating and 1/4 of a batch requires 1 heating (worth 20 mins), and "half of all batches require a second mixing with hydrochloric acid, none requires the third" as 1/2 of a batch requires 1 mixing (20 mins) and 1/2 batch requires 2 mixing (40 minutes), the calculation for average time is as following:
30 mins + (3/4*0 +1/2* 20 mins) + 5 mins + (1/2 *20 mins+1/2 * 40 mins)+10+60 = 140 mins

For the stage, we count 1 for the rectangular box, the calculation will be 1+(3/4*0+1/4*1)+1+(1/2*1+1/2*2)+1+1 = 5.75.
Re: Logic Flowchart - IR Chemical Processes   [#permalink] 20 Sep 2012, 01:55
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