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The product structure of an assembly P is shown in the figure. Estimated demand for end product P is as follows Week 1 2 3 4 5 6 Demand 1000 1000 1000 1000 1200 1200 ignore lead times for assembly and sub-assembly. Production capacity (per week) for component R is the bottleneck operation. Starting with zero inventory, the smallest capacity that will ensure a feasible production plan up to week 6 is

The product structure of an assembly P is shown in the figure. Estimated demand for end product P is as follows Week 1 2 3 4 5 6 Demand 1000 1000 1000 1000 1200 1200 ignore lead times for assembly and sub-assembly. Production capacity (per week) for component R is the bottleneck operation. Starting with zero inventory, the smallest capacity that will ensure a feasible production plan up to week 6 is Correct Answer 2200

Every P requires 2R

Let production be x per period.

Week 1 2 3 4 5 6
Demand 1000 1000 1000 1000 1200 1200
Ending Inventory x - 2000 2x - 4000 3x - 6000 4x - 8000 5x - 10400 6x - 12800

 

For minimum capacity condition, 6x - 12800 = 0

So, x = 12800/6 = 2133
The nearest of 2133 is 2200.

 

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