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The Children's Theater Company is a nonprofit corporation managed by Shannon Board. The theater performs in two venues: Kristin Marie Hall and the Lauren Elizabeth Theater. For the upcoming season, seven shows have been chosen. The question Shannon faces is how many performances of each of the seven shows should be scheduled. A financial analysis has estimated revenues for each performance of the seven shows, and Shannon has set the minimum number of performances of each show based upon union agreements with Actor's Equity Association and the popularity of the shows in other markets:
Kristin Marie Hall is available for 60 performances during the season, while Lauren Elizabeth Theater is available for 150 performances. Shows 3 and 7 must be performed in Kristin Marie Hall, while the other shows are performed in the Lauren Elizabeth Theater. The company wants to achieve revenues of at least $550,000 while minimizing its production costs. Develop and solve a linear optimization model to determine the best way to schedule the shows. Is it possible to achieve revenues of $600,000? What is the highest amount of revenue that can be achieved?
provide a numerical answer to each of the following questions and also show the calculations you used to find the
Eleanor rolls a numbered cube with the numbers 1 to 6 on it. What is the probability that the number she rolls will be a prime number?
At α = 0.01 level of significance, test the hypothesis that these data can be described by a Poisson pdf.
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A letter is drawn 1,000 times, at random, from the word A R AB I A. There are two offers. (A) You win a dollar if the number of A's among the draws is10 or more above the expected number. (B) You win a dollar if the number of B's among the drawsis 10..
How does sleep deprivation affect your ability to drive? A recent study measured the effects on 19 professional drivers.
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