A warehouse can store up to 100 units of a particular item. In each of the nextNdays weneed to determine the number of units to sell and then the number of units to buy. Sellingin each day precedes buying so that the maximum amount that can be sold is the initialinventory at the beginning of the day. The maximum amount that can be bought is limitedby the capacity minus the amount in inventory after selling takes place. Inventory can beheld overnight in the warehouse, provided the total number of units held does not exceed thewarehouse capacity. At the beginning of day 1, before selling takes place, there are 40 unitsof inventory in the warehouse. Suppose thatpnandcnare the per unit selling and buyingprices, respectively, for each day n = 1, . . . , N. Formulate an LP to determine the amount to be sold and bought each day to maximize total profit.