Please show work.

1. A doughnut store makes fresh doughnuts every morning. The owner wants to determine the number of doughnuts to make each day. From the past demand, the probability of the demand is the following: Demand Probability 1,000 0.05 1,200 0.10 1,400 0.20 1,600 0.30 1,800 0.20 2,000 0.10 2,200 0.05 Each doughnut sells for $0.49 and costs $0.39, which includes handling and transportation. Doughnuts that are not sold until noon are reduced to $0.29 and sold in the afternoon. Determine how many doughnuts should be made each morning