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Hukkahuya is a leading manufacturer of pink cricket balls. The pink coloured ones are used for daynight matches. Hukkahuya is looking at its production plan

Hukkahuya is a leading manufacturer of pink cricket balls. The pink coloured ones are used for daynight matches. Hukkahuya is looking at its production plan over a 6month planning horizon. Demands are 10, 15, 30, 35, 25 and 10 (in '000 units) and they need to be met in time. Hukkahuya has a current inventory of 5000 pink cricket balls. We may assume that the demand at the end of month, while production occurs during the month. Hukkahuya has a maximum monthly capacity of producing 30000 such cricket balls. It has a storage capacity of 10000 cricket balls. The production cost (per pink cricket ball) over the next 6 months is $ 12.50, 12.55, 12.70, 12.80, 12.85, 12.95 respectively. On any given month, the storage cost is 5% of production cost of that month The selling price is fixed and hence not relevant. So Hukkahuya needs to decide on its schedule to minimize production and holding cost

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