Jason decided to open a small internet café serving a variety of unusual non alcoholic beverages from around the world. he set a goal to break-even within the first six months and make a moderate profit thereafter. within a week of opening, every seat was filled and he had to replenish inventory several times. at his six-month review, he was devastated to find that despite huge sales, he had actually lost money. his math was not wrong, but he had failed to include monthly expenses such as toilet paper, paper towels, and hand soap in his calculations. these costs should have appeared as in his break-even analysis.

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

Diamond motor car company produces some of the most luxurious and expensive cars in the world. typically, only a single dealership is authorized to sell its cars in certain major cities. in less populous areas, diamond authorizes a single dealer for an entire state or region. the manufacturer of diamond automobiles is using a(n) distribution strategy for its product.

Aproduct has a demand of 4000 units per year. ordering cost is $20, and holding cost is $4 per unit per year. the cost-minimizing solution for this product is to order: ? a. 200 units per order. b. all 4000 units at one time. c. every 20 days. d. 10 times per year. e. none of the above