Brenda wants to buy a new car and has a budget of $25,000. She has just found a magazine that assigns each car an index for styling and an index for gas mileage. Each index runs from 1 to 10, with 10 representing either the most styling or best gas mileage. While looking at the list of cars, Brenda observes that on average, as the style index increases by one unit, the price of the car increases by $6,250. She also observed that as the gas-mileage index rises by one unit, the price of the car increases by $5,000. Illustrate the various combinations of style (S) and gas mileage (G) that Brenda could select with her $25,000 budget. Using the line drawing tool, illustrate Brenda's budget line. Label this line 'Budget Line'. Carefully follow the instructions above, and only draw the required object. Suppose Brenda's preferences are such that she always receives two times as much satisfaction from an extra unit of styling as she does from gas mileage. What type of car will Brenda choose?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
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Chapter1: Making Economics Decisions
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Brenda wants to buy new car and has a budget of $25,000. She has just found a
magazine that assigns each car an index for styling and an index for gas mileage.
Each index runs from 1 to 10, with 10 representing either the most styling or best
gas mileage. While looking at the list of cars, Brenda observes that on average, as
the style index increases by one unit, the price of the car increases by $6,250. She
also observed that as the gas-mileage index rises by one unit, the price of the car
increases by $5,000.
Illustrate the various combinations of style (S) and gas mileage (G) that Brenda
could select with her $25,000 budget.
Using the line drawing tool, illustrate Brenda's budget line. Label this line 'Budget
Line'.
Carefully follow the instructions above, and only draw the required object.
Suppose Brenda's preferences are such that she always receives two times as
much satisfaction from an extra unit of styling as she does from gas mileage. What
type of car will Brenda choose?
Brenda will select a car with units of styling and
(Enter your response rounded to two decimal places.)
units of gas mileage.
Styling (index units)
10-
9-
8-
7-
6-
5-
3-
2-
1-
0-
0
Budget Line
Gas mileage (index units)
8
9
Ⓒ
10
Transcribed Image Text:Brenda wants to buy new car and has a budget of $25,000. She has just found a magazine that assigns each car an index for styling and an index for gas mileage. Each index runs from 1 to 10, with 10 representing either the most styling or best gas mileage. While looking at the list of cars, Brenda observes that on average, as the style index increases by one unit, the price of the car increases by $6,250. She also observed that as the gas-mileage index rises by one unit, the price of the car increases by $5,000. Illustrate the various combinations of style (S) and gas mileage (G) that Brenda could select with her $25,000 budget. Using the line drawing tool, illustrate Brenda's budget line. Label this line 'Budget Line'. Carefully follow the instructions above, and only draw the required object. Suppose Brenda's preferences are such that she always receives two times as much satisfaction from an extra unit of styling as she does from gas mileage. What type of car will Brenda choose? Brenda will select a car with units of styling and (Enter your response rounded to two decimal places.) units of gas mileage. Styling (index units) 10- 9- 8- 7- 6- 5- 3- 2- 1- 0- 0 Budget Line Gas mileage (index units) 8 9 Ⓒ 10
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