Draw a diagram showing Lucy’s optimal bundle, clearly depicting her budget set and the indifference curve where the optimal bundle lies.
Question
Draw a diagram showing Lucy’s optimal bundle, clearly depicting her budget set and the indifference curve where the optimal bundle lies.
Solution
I'm sorry, but as a text-based AI, I'm unable to draw diagrams. However, I can explain how to draw it:
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Draw two axes, representing two goods that Lucy can consume. Let's say the x-axis is Good X and the y-axis is Good Y.
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Draw a downward sloping line, which represents Lucy's budget line. The slope of this line is determined by the prices of Good X and Good Y. The point where the line intersects the x-axis shows how much of Good X Lucy can buy if she spends all her income on Good X. Similarly, the point where the line intersects the y-axis shows how much of Good Y Lucy can buy if she spends all her income on Good Y.
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Draw an indifference curve, which is a curve that shows combinations of Good X and Good Y that give Lucy the same level of satisfaction. This curve should be downward sloping and convex to the origin. The point where the indifference curve is tangent to the budget line is Lucy's optimal bundle. This is because at this point, Lucy is maximizing her satisfaction given her budget constraint.
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Label the point of tangency as Lucy's optimal bundle. This point shows the amount of Good X and Good Y that Lucy will choose to consume given her income and the prices of the goods.
Similar Questions
Draw a diagram showing Lucy’s optimal bundle, clearly depicting her budget set and the indifference curve where the optimal bundle lies.
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An indifference curve shows,Group of answer choicesexpenditure bundles that the consumer can afford given the prices.consumption bundles that give the consumer the same level of satisfactionconsumption bundles that give the consumer different level of satisfaction.expenditure bundles that the consumer is least willing to make.
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Lucy consumes only scoops of ice-cream (x) and cones (y). Moreover, she insists on consuming these two goods in the combination of α1 scoops of ice-cream and α2 cones, where α1 and α2 are real numbers greater than 1. If there are more scoops of ice-cream than cones, she throws the extra ice-cream away. If there are more cones than scoops of ice-cream, she throws the extra cones away. (a) (4 marks) Draw a couple of Lucy’s indifference curves when: (i) α1 = α2; (ii) α1 > α2; and (iii) α1 < α2. Put ice-cream on the horizontal axis. (b) (8 marks) Suppose each scoop of ice-cream costs α2, and each cone costs α1. Lucy has an income of (α1 2 + α2 2 ) dollars. Obtain Lucy’s utility maximising consumption bundle for general α1, α2 (i.e., without making any of the assumptions about α1 and α2 in (a)).
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