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Unformatted text preview: 1 DESCRIPTIVE STATISTICS Dr. V.R. Bencivenga Economic Statistics Economics 329 DESCRIPTIVE STATISTICS LINEAR TRANSFORMATIONS EXAMPLE 2 DESCRIPTIVE STATISTICS Linear transformations Begin with two variables, X and Y. Take the linear transformations W = a + b X and Z = c + d Y. X b a W Y d c Z 2 X 2 2 W S b S 2 Y 2 2 Z S d S 3 DESCRIPTIVE STATISTICS A pizza restaurant’s monthly pizza sales are X p izzas. Costs of materials are $2 per pizza, and the price charged by the restaurant is $12 per pizza. The restaurant pays 10% of its month revenue to the owner of the pizza franchise. Also, the restaurant pays $5000 in rent and insurance, and $3000 in labor costs. 4 DESCRIPTIVE STATISTICS A pizza restaurant’s monthly pizza sales are X pizzas. Costs of materials are $2 per pizza, and the price charged by the restaurant is $12 per pizza. The restaurant pays 10% of its month revenue to the owner of the pizza franchise. Also, the restaurant pays $5000 in rent and insurance, and $3000 in labor costs. a. Give the restaurant’s monthly profit (Y) as a function of pizza sales. 5 DESCRIPTIVE STATISTICS A pizza restaurant’s monthly pizza sales are X pizzas. Costs of materials are $2 per pizza, and the price charged by the restaurant is $12 per pizza. The restaurant pays 10% of its month revenue to the owner of the pizza franchise. Also, the restaurant pays $5000 in rent and insurance, and $3000 in labor costs. a. Give the restaurant’s monthly profit (Y) as a function of pizza sales. Y = (.9)(12 – 2) X – 8000 => Y = – 8000 + 9 X 6 DESCRIPTIVE STATISTICS A pizza restaurant’s monthly pizza sales are X pizzas. Costs of materials are $2 per pizza, and the price charged by the restaurant is $12 per pizza. The restaurant pays 10% of its month revenue to the owner of the pizza franchise. Also, the restaurant pays $5000 in rent and insurance, and $3000 in labor costs....
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 Spring '12
 BENCIVENGA
 Economics, Standard Deviation, Sandwich, American cuisine, Ciabatta, monthly profit

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