A pizza parlor has been experimenting with lowering the price of their large one-topping pizza to promote sales. The average revenues from the sale of large one-topping pizzas on a Friday night (5 P.M. to midnight) at various prices are given below. Revenue from the Sale of Pizzas at Different Prices Price Revenue (dollars x) (dollars R) 9.25 1202.50 10.50 1228.50 11.75 1210.25 13.00 1131.00 14.25 1054.50 (a) Find a quadratic model for the data. (Round all numerical values to two decimal places.) < 14.25. R(x) = dollars is the average revenue from the sale of large one-topping pizzas on a Friday night when the price of a large one-topping pizza is x dollars, 9.25 s x (b) Calculate the marginal revenue at a price of $9.25 and at a price of $11.50. (Round your answers to the nearest cent.) $9.25 $11.50

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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A pizza parlor has been experimenting with lowering the price of their large one-topping pizza to promote sales. The average revenues from the sale of large one-topping pizzas on a Friday night (5 P.M. to
midnight) at various prices are given below.
Revenue from the Sale of Pizzas at
Different Prices
Price
Revenue
(dollars x)
(dollars R)
9.25
1202.50
10.50
1228.50
11.75
1210.25
13.00
1131.00
14.25
1054.50
(a) Find a quadratic model for the data. (Round all numerical values to two decimal places.)
< 14.25.
R(x) =
dollars is the average revenue from the sale of large one-topping pizzas on a Friday night when the price of a large one-topping pizza is x dollars, 9.25 s x
(b) Calculate the marginal revenue at a price of $9.25 and at a price of $11.50. (Round your answers to the nearest cent.)
$9.25
$11.50
Transcribed Image Text:A pizza parlor has been experimenting with lowering the price of their large one-topping pizza to promote sales. The average revenues from the sale of large one-topping pizzas on a Friday night (5 P.M. to midnight) at various prices are given below. Revenue from the Sale of Pizzas at Different Prices Price Revenue (dollars x) (dollars R) 9.25 1202.50 10.50 1228.50 11.75 1210.25 13.00 1131.00 14.25 1054.50 (a) Find a quadratic model for the data. (Round all numerical values to two decimal places.) < 14.25. R(x) = dollars is the average revenue from the sale of large one-topping pizzas on a Friday night when the price of a large one-topping pizza is x dollars, 9.25 s x (b) Calculate the marginal revenue at a price of $9.25 and at a price of $11.50. (Round your answers to the nearest cent.) $9.25 $11.50
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