Megley Cheese Company is small manufacturer of number of different cheese products. One of products is cheese spread which is sold to retail outlets. Jason Megley should decide how many cases of cheese spread to produce each month. Probability that demand will be six cases is 0.1, for 7 cases, 0.3, for 8 cases is 0.5, and for 9 cases is 0.1. Cost of every case is $45, and price that Jason gets for each case is $95. Unluckily, any cases not sold by end of month are of no value, due to spoilage. How many cases of cheese must Jason manufacture each month?