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There are two shows on Netflix that Jeff can watch, Show 1 and Show 2. X₁ measures the number of episodes watched of Show 1 and x₂ measures the number of episodes watched of Show 2. Jeff's preferences can be represented by u(x₁, x₂) = x² + ax². Jeff has 5 hours available for watching Netflix today. Each episode of Show 1 lasts 30 minutes, while each episode of Show 2 lasts one hour. For all question parts, round to three decimal places if necessary. For parts (a)-(f), let a = 1. Draw Jeff's indifference curves for the utility levels u = 4,9, 16. Draw a straight line between the bundles (X₁, X₂) = (4,0) and (x₁, x₂) = (0,4). Now, use your picture to determine whether the following two statements are true or false. Answer "1" for true. Answer "0" for false. a) Statement 1: Jeff's preferences are strongly monotone. b) Statement 2: Jeff's preferences are strictly convex. c) Find the bundle at which one of Jeff's indifference curves is tangent to the budget line. (x₁, x2) =( d) Evaluate Jeff's utility at the aforementioned tangent bundle. u(x₁, x₂) = e) Evaluate Jeff's utility at the bundle where he consumes only Show 1. u(10,0) = f) Evaluate Jeff's utility at the bundle where he consumes only Show 2. u(0,5) =

There are two shows on Netflix that Jeff can watch, Show 1 and Show 2. X₁ measures the number of episodes watched of Show 1 and x₂ measures the number of episodes watched of Show 2. Jeff's preferences can be represented by u(x₁, x₂) = x² + ax². Jeff has 5 hours available for watching Netflix today. Each episode of Show 1 lasts 30 minutes, while each episode of Show 2 lasts one hour. For all question parts, round to three decimal places if necessary. For parts (a)-(f), let a = 1. Draw Jeff's indifference curves for the utility levels u = 4,9, 16. Draw a straight line between the bundles (X₁, X₂) = (4,0) and (x₁, x₂) = (0,4). Now, use your picture to determine whether the following two statements are true or false. Answer "1" for true. Answer "0" for false. a) Statement 1: Jeff's preferences are strongly monotone. b) Statement 2: Jeff's preferences are strictly convex. c) Find the bundle at which one of Jeff's indifference curves is tangent to the budget line. (x₁, x2) =( d) Evaluate Jeff's utility at the aforementioned tangent bundle. u(x₁, x₂) = e) Evaluate Jeff's utility at the bundle where he consumes only Show 1. u(10,0) = f) Evaluate Jeff's utility at the bundle where he consumes only Show 2. u(0,5) =

Principles of Economics 2e
Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
ChapterA: The Use Of Mathematics In Principles Of Economics
Section: Chapter Questions
Problem 1RQ: Exercise A1 Name three kinds of graphs and briefly state when is most appropriate to use each type...
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There are two shows on Netflix that Jeff can watch, Show 1 and Show 2. x₁ measures the number of episodes watched of Show 1 and x₂ measures the number of episodes watched of Show 2. Jeff's preferences can be represented by u(x₁, x₂) = x² + ax². Jeff has 5 hours available for watching Netflix today. Each episode of Show 1 lasts 30 minutes, while each episode of Show 2 lasts one hour. For all question parts, round to three decimal places if necessary. For parts (a) - (f), let a = 1. Draw Jeff's indifference curves for the utility levels u = 4, 9, 16. Draw a straight line between the bundles (x₁, x₂) = (4,0) and (x₁, x₂) = (0,4). Now, use your picture to determine whether the following two statements are true or false. Answer "1" for true. Answer "0" for false. a) Statement 1: Jeff's preferences are strongly monotone. b) Statement 2: Jeff's preferences are strictly convex. c) Find the bundle at which one of Jeff's indifference curves is tangent to the budget line. (x₁, x₂)=( d) Evaluate Jeff's utility at the aforementioned tangent bundle. u(x₁, x₂) = e) Evaluate Jeff's utility at the bundle where he consumes only Show 1. u(10,0) = f) Evaluate Jeff's utility at the bundle where he consumes only Show 2. u(0,5) =
Transcribed Image Text:There are two shows on Netflix that Jeff can watch, Show 1 and Show 2. x₁ measures the number of episodes watched of Show 1 and x₂ measures the number of episodes watched of Show 2. Jeff's preferences can be represented by u(x₁, x₂) = x² + ax². Jeff has 5 hours available for watching Netflix today. Each episode of Show 1 lasts 30 minutes, while each episode of Show 2 lasts one hour. For all question parts, round to three decimal places if necessary. For parts (a) - (f), let a = 1. Draw Jeff's indifference curves for the utility levels u = 4, 9, 16. Draw a straight line between the bundles (x₁, x₂) = (4,0) and (x₁, x₂) = (0,4). Now, use your picture to determine whether the following two statements are true or false. Answer "1" for true. Answer "0" for false. a) Statement 1: Jeff's preferences are strongly monotone. b) Statement 2: Jeff's preferences are strictly convex. c) Find the bundle at which one of Jeff's indifference curves is tangent to the budget line. (x₁, x₂)=( d) Evaluate Jeff's utility at the aforementioned tangent bundle. u(x₁, x₂) = e) Evaluate Jeff's utility at the bundle where he consumes only Show 1. u(10,0) = f) Evaluate Jeff's utility at the bundle where he consumes only Show 2. u(0,5) =
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