A lottery has a grand prize of $100,000, two runner-up prizes of $12,500 each, four third-place prizes of $2000 each, and six consolation prizes of $200 each. If 200,000 tickets are sold for $1 each and the probability of any one ticket winning is the same as that of any other ticket winning, find the expected return on a $1 ticket. (Round your answer to two decimal places.)

Abc computer company has a $20 million factory in silicon valley in which in builds computer components. during the current year, abc's costs are labor (wages) of $1.01.0 million; interest on debt of $0.20.2 million; and taxes of $0.20.2 million. abc sells all its output to xyz supercomputer for $2.62.6 million. using abc's components, xyz builds four supercomputers at a cost of $0.8500.850 million each, which comes from $0.6500.650 million worth of components, $0.10.1 million in labor costs, and $0.10.1 million in taxes per computer. xyz has a $30 million factory. xyz sells three of the supercomputers to other businesses for $1.81.8 million each. at year's end, it had not sold the fourth. the unsold computer is carried on xyz's books as a $0.8500.850 million increase in inventory.

Aproduction order quantity problem has a daily demand rate = 10 and a daily production rate = 50. the production order quantity for this problem is approximately 612 units. what is the average inventory for this problem?

Intronix uses copy editors, computer graphics specialists, and java programmers to produce ads for magazines and the internet. the average new ad for magazines typically requires 180 hours of a copy editor's time and 135 hours of a computer graphics specialist's time, whereas ads produced for the internet require 35 hours of copy editor time, 195 hours of computer graphics time, and 60 hours of a java programmer's time. lassie food, a dog food manufacturer, has hired intronix to produce ads in the next four week. although currently it considers magazine ads 3 times more valuable than internet ads, it still wishes to have at least 2 of each produced within the next four weeks. intronix has assigned up to 3 copy editors, 4 computer graphics specialists, and 1 java programmer, each committed to work up to 70 hours per week on the project. how many of each type of ad should be produced to maximize the overall value to lassie foods