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- Linda loves buying shoes and going out to dance. It costs Linda $50 to buy a new pair of shoes or to spend an evening out dancing. Assume that she has $500 to spend on shoes and dancing. 1. What is the equation for her budget line? Draw it with T on the vertical axis and label the slope and intercept.Suppose a consumer can afford to buy 6 units of good 1 and 8 units of good 2 if she spends her entire income. The prices of the two goods are Rs 6 and Rs 8 respectively. How much is the consumer’s income?True/ False Income and consumption has a direct relationship for the normal goods.
- The utility derived by a consumer from the consumption of two commodities is given by the function U (A, B) = 0.5In (A) + 0.5 In (B) where A are the number of units of the first commodity consumed and B are the number of units of the second commodity consumed each month. A unit of the first commodity costs $8 and a unit of the second commodity costs $ 4 using the Lagrange multiplier method determine the optimal quantity of each of the commodities consumed each month given that consumer has $32 to spend on both commodities each monthGiven f(x,y) = 2x2 - 6xy + 9y2, and Px= 7, Py= 5 and income, I = 175. Construct the budget contraint and Lagrange function and solve for the equilibrium values of x and y. (a) What is the equilibrium value of x? (Give your answer to two decimal places, if required) (b) What is the equilibrium value of y? (Give your answer to two decimal places, if required) (c) What is the value of the determinant of the bordered Hessian matrix? (Give your answer to two decimal places, if required) unanswered d. Based on the value of the Bordered Hessian, comment whether the objective function is maximized or minimized. Answer in one word.Steve's utility for socks (q1) and other goods (q2) is given by U(q1,q2) = 10q10.1 0.1q² 0.9 The price of the composite good is p2=1 and the price of a pair of socks is p1=2. Steve's income is Y=100. Every year, Steve's mom buys him 20 pairs of socks. How many dollars is the equivalent variation of the $40 that his mom spends on socks every year?
- given f(x,y) = 9x2 - 2xy + 8y2, and Px= 12, Py= 1 and income, I = 165. Construct the budget contraint and Lagrange function and solve for the equilibrium values of x and y. (a) What is the equilibrium value of x? (Give your answer to two decimal places, if required) (b) What is the equilibrium value of y? (Give your answer to two decimal places, if required) (c) What is the value of the determinant of the bordered Hessian matrix? (Give your answer to two decimal places, if required) Question #2 Based on the value of the Bordered Hessian, comment whether the obejective function is maximised or minimised.Given f(x,y) = 2x2 - 5xy + 5y2, and Px= 7, Py= 6 and income, I = 169. Construct the budget contraint and Lagrange function and solve for the equilibrium values of x and y. (a) What is the equilibrium value of x? (Give your answer to two decimal places, if required) (b) What is the equilibrium value of y? (Give your answer to two decimal places, if required) (c) What is the value of the determinant of the bordered Hessian matrix? (Give your answer to two decimal places, if required) (d) Based on the value of the Bordered Hessian, comment whether the obejective function is maximised or minimised.Q19 Suppose a consumer can purchase only two goods: pasta and rice. Let the quantity of pasta be measured on the vertical axis and the quantity of rice be measured on the horizontal axis. If the price of pasta falls, with no change in the price of rice or in the consumer's money income, then the budget line for the consumer will rotate... a. Outward parallel to the existing budget line. b. Toward the origin and become flatter. c. Away from the origin and become steeper. d. Away from the origin and become flatter. e. Toward the origin and become steeper.
- The reason the substitution effect works to encourage a consumer to buy less of a product when its price increases is: a. the product is now relatively more expensive than it was before. b. other products are now relatively more expensive than they were before. c. the real income of the consumer has been increased. d. the real income of the consumer has been decreasedUtility functions of a consumer: U = 20x10.4x20.4 Specify:a. marginal utility of each item.b. If the consumption of x1seee is 80 and x2 as much as 60 units, the price of Px120 and Px2 25, Determine if there is a balance of consumption?Suppose that the quantity of tacos consumed per month is on the x-axis and the quantity of pizzas consumed per month is on the y-axis, a decrease in the price of pizza holding the price of tacos constant will A. cause the budget line to shift inward toward the origin in a parallel fashion. B. cause the y-intercept to remain the same, but the -intercept will move away the origin. C. cause the budget line to shift outward from the origin in a parallel fashion. D. cause the x-intercept to remain the same, but the y-intercept will move away from the origin