Drawing tree diagrams. after taking a course on statistics, 88% of students can successfully construct tree diagrams. of those who can construct tree diagrams, 90% passed, while only 60% of those students who could not construct tree diagrams passed. a) construct a tree diagram of this scenario. ? you can do it electronically using e. g. powerpoint, or draw freehand and scan the image. b) calculate the probability that a student is able to construct a tree diagram if it is known that he or she passed.

Vulcan flyovers offers scenic overflights of mount st. helens, the volcano in washington state that explosively erupted in 1982. data concerning the company’s operations in july appear below: vulcan flyovers operating data for the month ended july 31 actual results flexible budget planning budget flights (q) 56 56 54 revenue ($350.00q) $ 16,500 $ 19,600 $ 18,900 expenses: wages and salaries ($3,300 + $91.00q) 8,354 8,396 8,214 fuel ($31.00q) 1,904 1,736 1,674 airport fees ($870 + $35.00q) 2,730 2,830 2,760 aircraft depreciation ($11.00q) 616 616 594 office expenses ($240 + $1.00q) 464 296 294 total expense 14,068 13,874 13,536 net operating income $ 2,432 $ 5,726 $ 5,364 the company measures its activity in terms of flights. customers can buy individual tickets for overflights or hire an entire plane for an overflight at a discount. required: 1. prepare a flexible budget performance report for july that includes revenue and spending variances and activity variances.

Table 1. shows the expected demand for the dvd at different suggested donation levels, and they can act as a single-price monopolist if they choose to. thereceipts will be used to fund gstcg supplies for their data collection and conservation work. at the end of each sea turtle nesting season, any excess funds are donated by the gstcg to a local non-profit sea turtle research and rehabilitation facility. table 1 suggested anticipated total marginal profit donation per number of dvd revenue revenue dvd request requests $19.00 0 $15.00 2 $9.50 4 $7.75 10 $3.00 15 $0.00 20 a. complete table 1 by computing the total revenue, marginal revenue, and profit columns. b. the president wants the gstcg to provide videos to generate the most possible donations (total revenue). what price, if any, is the president of the gstcg favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. c. the education outreach committee wants the gstcg to provide videos to the highest possible number of people. what price, if any, is the educational outreach committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. d. the treasurer of the gstcg wants the dvd program to be as efficient as possible so that the marginal revenue equals marginal cost. what price, if any, is the treasurer favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. e. the fundraising committee wants the dvd program to generate as much profit in donations as possible. what price, if any, is the fundraising committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer.

Mountain mouse makes freeze-dried meals for hikers. one of mountain mouse's biggest customers is a sporting goods superstore. every 66 days, mountain mouse checks the inventory level at the superstore and places an order to restock the meals. these meals are delivered by ups in 55 days. average demand during the reorder period and order lead time is 8585 meals, and the standard deviation of demand during this same time period is about 1919 meals. calculate the restocking level for mountain mouse. assume that the superstore wants a 95\% service level. what happens to the restocking level if the superstore wants a higher level of service-say, 99]%? the restocking level for the 95% service level is 117 mealssuppose there are 25 meals in the superstore when mountain mouse checks inventory levels. how many meals should be ordered, assuming a 95% service level?