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Jobs are produced in a shop at the rate of 600 per month and consumed at a rate of 300 per month. The production and consumption continue simultaneously till maximum inventory is reached. The lot size of production is 600. If backlog is not allowed, the maximum inventory level is ______
- a)225
- b)300
- c)600
- d)150
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Jobs are produced in a shop at the rate of 600 per month and consumed ...
Concept: In case of production or Built up Inventory model,
Here P = production rate (units/time)
d = demand or consumption rate (units/time)
tp = Production or manufacturing cycle time
Maximum Inventory 
Also, Total Inventory cost = ordering cost (or) setup cost + holding cost
Now, For Finding average inventory, converting the maximum inventory triangle into average inventory rectangle,
Calculation:
P = 600 per month
d = 300 per month
Q = 600 units
Most Upvoted Answer
Jobs are produced in a shop at the rate of 600 per month and consumed ...
To determine the maximum inventory level in a shop, we need to consider the production rate, consumption rate, lot size, and the condition of no backlog.
Production Rate: 600 jobs per month
Consumption Rate: 300 jobs per month
Lot Size: 600 jobs
1. Identifying the Conditions:
- The production and consumption rates are given simultaneously.
- The lot size of production is 600 jobs.
- Backlog is not allowed.
2. Calculating the Maximum Inventory Level:
- The maximum inventory level occurs when the production rate matches the consumption rate, and the lot size is equal to the maximum inventory level.
- In this case, the production rate is 600 jobs per month, and the consumption rate is 300 jobs per month.
- The lot size is 600 jobs.
To calculate the maximum inventory level, we can consider the time it takes to produce one lot and consume one lot. The time taken to produce one lot is given by:
Time to produce one lot = Lot size / Production rate
= 600 jobs / 600 jobs per month
= 1 month
Similarly, the time taken to consume one lot is given by:
Time to consume one lot = Lot size / Consumption rate
= 600 jobs / 300 jobs per month
= 2 months
Since the production rate matches the consumption rate, and the lot size is equal to the maximum inventory level, the maximum inventory level is given by the time taken to consume one lot, which is 2 months.
Therefore, the maximum inventory level is 300 jobs (option B).
Production Rate: 600 jobs per month
Consumption Rate: 300 jobs per month
Lot Size: 600 jobs
1. Identifying the Conditions:
- The production and consumption rates are given simultaneously.
- The lot size of production is 600 jobs.
- Backlog is not allowed.
2. Calculating the Maximum Inventory Level:
- The maximum inventory level occurs when the production rate matches the consumption rate, and the lot size is equal to the maximum inventory level.
- In this case, the production rate is 600 jobs per month, and the consumption rate is 300 jobs per month.
- The lot size is 600 jobs.
To calculate the maximum inventory level, we can consider the time it takes to produce one lot and consume one lot. The time taken to produce one lot is given by:
Time to produce one lot = Lot size / Production rate
= 600 jobs / 600 jobs per month
= 1 month
Similarly, the time taken to consume one lot is given by:
Time to consume one lot = Lot size / Consumption rate
= 600 jobs / 300 jobs per month
= 2 months
Since the production rate matches the consumption rate, and the lot size is equal to the maximum inventory level, the maximum inventory level is given by the time taken to consume one lot, which is 2 months.
Therefore, the maximum inventory level is 300 jobs (option B).
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Jobs are produced in a shop at the rate of 600 per month and consumed at a rate of 300 per month. The production and consumption continue simultaneously till maximum inventory is reached. The lot size of production is 600. If backlog is not allowed, the maximum inventory level is ______a)225b)300c)600d)150Correct answer is option 'B'. Can you explain this answer?
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