3.Demand, D, for an item in a period, produced in our factory is uniformly distributed with in [2, 8]. The production manager plans to produce 6 items for that period. The production cost of the item is 4, the shortage cost is 2, the holding cost is 3.5 and the selling price 8. i) Write the profit of the factory fro this item for one period. ii) Compute the expected profit of the item for one period. iii) Compute the probability that the profit in one period is between 20 and 22. iv) Solve ii and iii if the demand is exp(0.2)