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This book highlights the use of inventory in the field of mathematics but does not neglect its use in the field of business management. It is a culmination of future oriented models which are devised keeping in mind the present situations like the pandemic Covid-19, the need for sustainability and carbon emission. The book also highlights the diversification of inventory as a topic to study by covering all the aspects like healthcare and business. Apart from its great use in mathematics, this is also crucial for business management activity. During the pandemic, inflation was experienced in the field of business in plant implementation of lockdown led to collapse of many businesses and it increased the demand of trade credit among the people the rate of deterioration was also increased because of the increased transportation time of essential goods and the less demand of non-essentials items that was stocked in the warehouses. Inventory is the backbone of any business. Managementof inventory is a crucial ability for surviving in the market. From this point of view, two warehouse inventory system has been developed with the condition of shortages and without shortages.