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- As a college student you work at a part-time job, but your parents also send you a monthly allowance. Suppose one month your parents forgot to send the check. Show graphically how your budget constraint is affected. Assuming you only buy normal goods, what would happen to your purchases of goods?I need help with this homeowrk question i am unsure if i have it correct. Suppose a consumer’s utility function is given by U(X,Y) = X^1/2*Y^1/2. Also, the consumer has $36 to spend, and the price of good X is P(x) = $4. Let good Y be a “composite” good (good Y is the “numeraire”) whose price is P(y) = $1. So, on the Y-axis, we are graphing the amount of money that the consumer has available to spend on all other goods for any given value of X.if P(x) increases to 9 and the new bundle of the customers demands are 2 units of x and 18 units of y, how much additional money would the consumer need in order to have the same utility level after the price change as before the price change? (Note: this amount of additional money is called the Compensating Variation.) and of the total change in the quantity demanded of good X, how much is due to the substitution effect and how much is due to the income effect? (Note: since there is an increase in the price of good X, these values will be…Suppose a consumer has income of dollars 20 which to be spent on good B and A. Good B cost dollar 4 and good A cost dollar 2 ,then A. Determine budget equation? B.draw budget line?
- A consumer’s budget set for two goods (X and Y) is 500 ≥ 4X + 5Y.a. The budget set is illustrated below. What are the values of A and B? The horizontal axis is labeled Good X. The vertical axis is labeled Good Y. A line begins at a point on the vertical axis goes down to the right and ends at a point on the horizontal axis. A = B = b. Does the budget set change if the prices of both goods double and the consumer’s income also doubles? multiple choice Yes, it rotates clockwise Yes, it shifts out from the origin Yes, it shifts in toward the origin No, it does not change c. Given the equation for the budget set, what are the prices of the two goods?Good X: $ Good Y: $ What is the consumer’s income? $What happens to the original budget line if the price of good ? falls to 4$? (i.e., Will there be a change in the slope and/or intercepts of the original budget line? If yes, what are those changes?). Interpret economically how the change in the price of good ? affects the consumption decision of the consumer.Suppose you are given the following information for a particular individualconsuming two goods, a and b: Pa = $5, Pb = $6, MUa = 100, MUb = 200, and income (m) = $200.a) Sketch the budget set. What is the slope of the Budget Line? What are maximal possibleconsumptions of a and b?b) What is the MRSab for the two goods?c) Is this person maximizing her utility? How can you tell?d) Should she consume more of good a or of b? Explain.e) Why can’t you tell what her optimal bundle is? Explain.
- I need help with this homework question i am confused on Suppose a consumer’s utility function is given by U(X,Y) = MIN (5X, Y). Also, the consumer has $60 to spend, and the price of good X is P(x) = $5. Let good Y be a composite good (good Y is the “numeraire”) whose price is P(y) = $1. So, on the Y-axis, we are graphing the amount of money that the consumer has available to spend on all other goods for any given value of X. Suppose PX increases to $7, Calculate the Compensating Variation. Calculate the Equivalent Variation.Suppose that MUx = 10 and MUy = 20. Further suppose that the consumer’s budgetconstraint can be expressed as 20x + 10y = 400. For this consumer, the optimal amount of good x to buy would be a) 5. b) 0. c) 20. d) 40.why convex: The budget set consists of all convex combinations of the points How to know these: can you show each the points can be derive (0, 0), (0, w/p2), (2,(w p1)/p2), and (1 + w/p1, 0). The upper-right boundary of this region consists of two line segments meeting at a kink, with the segment to the left of the kink being flatter than the one to the right. b) how to solve it?