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مرجوج-999

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السلام عليكم ورحمة الله وبركاته



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A company produces bicycles for children. The sales forecast in thousand of units for the coming year are




given in the following table. The company has a capacity of 30,000 bicycles per month. It is possible to



augment the production by up to 50% through overtime working, but this increases the production cost

for a bicycle from the usual BC 32 to BC 40






Table 8.1

: Sales forecasts for the coming year in thousand units



Jan 30
15 Feb
15 Mar
25 Apr
33 May
40 Jun
45 Jul
Aug 45
26 Sep
14 Oct
25 Nov
30 Dec



Currently there are 2,000 bicycles in stock. The storage costs have been calculated as



BC 5 per unit held in




stock at the end of a month. We assume that the storage capacity at the company is virtually unlimited





(in practice this means that the real capacity, that is quite obviously limited, does not impose any limits in





our case). We are at the first of January. Which quantities need to be produced and stored in the course





of the next twelve months in order to satisfy the forecast demand and minimize the total cost

 

Eng.MQandeel

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