Benny and Marla have been dating for years, and they love to go to the movies. A

Question

Benny and Marla have been dating for years, and they love to go to the movies. At first, Benny was shocked at Marla’s “healthy appetite.” Movie after movie, Marla would polish off several popcorns and sodas. Being an old-fashioned guy, Benny has always insisted on paying for their movie dates. There are two theaters in town: SkyHi and Xpensive. SkyHi charges $9 per movie ticket, $5 per popcorn bag, and $3 per glass of soda. Xpensive charges $8 per movie ticket, $6 per popcorn bag, and $2.80 per glass of soda. Over the years, Benny has figured out that, per movie, Marla eats an average of 4.2 bags of popcorn with a standard deviation of 1.2 bags and drinks an average of 2 sodas with a standard deviation of 0.5 sodas. Let X = the number of bags of popcorn consumed by Marla during a movie outing and Y = the number of sodas consumed by Marla during a movie outing. How much money should Benny expect to spend on Marla if they go to Xpensive to see a movie? (Do not include Benny’s own movie ticket cost or the cost of the soda/popcorn that he will consume).

Explanation / Answer

Thus Benny can Expect the cost to be spend on Marla if they go to Xpensive theater in a town for movie to be between ( $30.2 , $47.4 )

Popcorn Soda Cost / Per Bag 6 Cost / Glass 2.8 Mean 4.2 Mean 2 SD 1.2 SD 0.5 Lower limit : Mean - SD 3 Lower limit : Mean - SD 1.5 Upper limit : Mean + SD 5.4 Upper limit : Mean + SD 2.5 Lower limit * Cost Per Bag 6 * 3 =18 Lower limit * Cost Per Glass 2.8*1.5=4.2 Upper limit * Cost Per Bag 6*5.4=32.4 Upper limit * Cost Per Glass 2.8*2.5=7

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