We have the following data for Demand Price and Costs for our product. Quantity Demand Price 100 Costs 500 $35.35 $21.63 $17.25 $2347.67 $5040.00 $7481.67 300 1000 1500 $12.70 $12469.67 $10.26 $16196.00 We have reason to believe that the Demand Price is a power (exponential) function of some kind. Our Cost function is close to linear, but we expect, from some market analysis, that it is in fact quadratic. Approximate this data with a Demand Price function and a Cost function. Explain how confident you are; that is, how much error do you think is reasonable in this type of scenario?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.8: Analyzing Functions With Successive Differences
Problem 35HP
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6. We have the following data for Demand Price and Costs for our product.
Quantity
100
Demand Price $35.35
Costs
500
$21.63 $17.25
$2347.67 $5040.00 $7481.67
300
1000
$12.70
$12469.67 $16196.00
1500
$10.26
We have reason to believe that the Demand Price is a power (exponential) function of
some kind. Our Cost function is close to linear, but we expect, from some market
analysis, that it is in fact quadratic. Approximate this data with a Demand Price function
and a Cost function. Explain how confident you are; that is, how much error do you
think is reasonable in this type of scenario?
Transcribed Image Text:6. We have the following data for Demand Price and Costs for our product. Quantity 100 Demand Price $35.35 Costs 500 $21.63 $17.25 $2347.67 $5040.00 $7481.67 300 1000 $12.70 $12469.67 $16196.00 1500 $10.26 We have reason to believe that the Demand Price is a power (exponential) function of some kind. Our Cost function is close to linear, but we expect, from some market analysis, that it is in fact quadratic. Approximate this data with a Demand Price function and a Cost function. Explain how confident you are; that is, how much error do you think is reasonable in this type of scenario?
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