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Every home football game for the past eight years at Eastern State University has been sold out. The revenues from ticket sales are significant, but the sale of food, beverages,

Every home football game for the past eight years at Eastern State University has been sold out. The revenues from ticket sales are significant, but the sale of food, beverages,

and souvenirs has contributed greatly to the overall profitability of the football program. One particular souvenir is the football program for each game. The number of programs sold at each game is described by the following probability distribution:

HOT WATER NUMBER OF HEATER SALES WEEKS THIS PER WEEK NUMBER WAS SOLD 3 2 4 9 5 10 6 15 7 25 8 12 9 12 10 10 11 5 (a) Resimulate the number of stockouts incurred over a 20-week period (assuming Higgins maintains a constant supply of 8 heaters). (b) Conduct this 20-week simulation two more times and compare your answers with those in part (a). Did they change significantly?

Why or why not? (c) What is the new expected number of sales per week? 14-18 An increase in the size of the barge unloading crew at the Port of New Orleans (see Section 14.5) has resulted in a new probability distribution for daily unloading rates. In particular, Table 14.10 may be revised as shown here: DAILY UNLOADING RATE PROBABILITY 1 0.03 2 0.12 3 0.40 4 0.28 5 0.12 6 0.05 (a) Resimulate 15 days of barge unloadings and compute the average number of barges delayed, average number of nightly arrivals, and average number of barges unloaded each day. Draw NUMBER (IN 100s) OF PROGRAMS SOLD PROBABILITY 23 0.15 24 0.22 25 0.24 26 0.21 27 0.18

Historically, Eastern has never sold fewer than 2,300 programs or more than 2,700 programs at one game. Each program costs $0.80 to produce and sells for $2.00. Any programs that are not sold are donated to a recycling center and do not produce any revenue. (a) Simulate the sales of programs at 10 football games. Use the last column in the random number table (Table 14.4) and begin at the top of the column. (b) If the university decided to print 2,500 programs for each game, what would the average profits be for the 10 games simulated in part (a)? (c) If the university decided to print 2,600 programs for each game, what would the average profits be for the 10 games simulated in part (a)?



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