please SHOW MATH steps on how to find first box in the column. (stocks 70 through 85)

please SHOW MATH steps on how to find first box in the column. (case 7 through 9)

The University of Miami bookstore stocks textbooks in preparation for sales each semester. It normally relies on departmental forecasts and preregistration records to determine how many copies of a text are needed. Preregistration shows 85 operations management students enrolled, but bookstore manager Vaidy Jayaraman has second thoughts, based on his intuition and some historical evidence. Vaidy believes that the distribution of sales may range from 65 to 85 units, according to the following probability model: 75 80 85 Demand Probability 65 0.05 70 0.25 0.20 0.20 0.30 This textbook costs the bookstore $82 and sells for $107. Any unsold copies can be returned to the publisher, less a restocking fee and shipping, for a net refund of $30. a) Based on the given information, Vaidy's conditional profits table for the bookstore is: 70 Demand 75 p = 0.20 65 p = 0.05 85 80 p = 0.20 Stock p=0.25 p=0.30 65 1625 1625 1625 1625 1625 70 1750 1750 1750 1750 Palmer Jam Company is a small manufacturer of several different jam products. One product is an organic jam that has no preservatives, sold to retail outlets. Susan Palmer must decide how many cases of jam to manufacture each month. The probability that demand will be 6 cases is 0.05, for 7 cases it is 0.30, for 8 cases it is 0.45, and for 9 cases it is 0.20. The cost of every case is $40, and the price Susan gets for each case is $80. Unfortunately, any cases not sold by the end of the month are of no value as a result of spoilage. Based on the given information, Susan's conditional profits table for jam is: 6 cases 9 cases Demand 7 cases 8 cases p=0.30 p = 0.45 240 240 Produce p=0.05 p = 0.20 6 cases 240 240 7 cases 280 280 280