Suppose the utility function of a representative consumer in Europe is !(#, %) = 6)*+# + )*+%, where # isnon-GM food and % is GM. The marginal utilities are: -!. = 6/# and -!0 = 1/%. The prices are 2. =2 and 20 = 1 and the representative income 4 = 14.
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Suppose the utility function of a representative consumer in Europe is !(#, %) = 6)*+# + )*+%, where # is
non-GM food and % is GM. The
2 and 20 = 1 and the representative income 4 = 14.
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Solved in 2 steps
- 4GE 10:01 ITEMS INFO 8. 2 attempts remaining. TAMU_QID: BM_00048 Consumers will demand 1070 items at a price of $2.75 per item. When the price per item increases to $5, the number of items demanded will decrease by 45. Write the linear demand function, p(x), for this item. Enter your answer in slope-intercept form, using exact numbers. p(x) = Submit answer(a) A consumer has utility u(x,y,z) = ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pz=1. Optimally she consumes 30 units of z. What is her income? How much money does she spend on x? (HINT: MUx = 1/x, MUy= 2/y, MUz = 3/z and remeber the "equivalent bang for the buck" condition). (b) Forget about (a). Suppose you have t= 29 hours in total to spend on 3 projects X,Y and Z to make some money. If you spend x hours on project X, you make 2 sqrt(x) dollars; If you spend y hours on project Y, you make 3 sqrt(y) dollars; If you spend z hours on project Z, you make 4sqrt(z) dollars; Writing down your "utility function" u(x,y,z) and the constraint, solve the utility maximization problem; what is the optimal amount of time to spend on x? on y? on z?2) A consumer of two goods, either 1 or 2, has a utility function U (X1, X2) = x1 0,6.x2 0.4, where x denotes units of good 1 and x2 units of good 2. The price of good 1 is 5 euros per unit, the price of good 2 is 3 euros per unit and the consumer's income is 150 euros. Suppose only the price of good 1 changes and so does the new one price is p1‘ = 2. Then the Slutsky substitution effect with respect to good 1 is Choose one: A) Not defined B) 10.8 C) 8.8 D) 7.8 E) 9.8
- If your income is R9 and the per unit price of X and Y is R2 and R1 respectively, what quantities of each good will you purchase to maximise utility? What total utility will you realise? Units of X MUX MUX / PX Units of Y MUY MUY / PY 1 10 5 1 8 8 2 8 4 2 7 7 3 6 3 3 6 6 4 4 2 4 5 5 5 3 1.5 5 4 4 6 2 1 6 3 2Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate for the equivalent variation (EV) for the price change.
- Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate the change in consumer surplus from consuming the expensivemeals considering the price change (Hint: you need to compare his optimalconsumption bundle before and after the price change to get the change in CS).Assume that the prices of good X, Y and Z are as follows R5,R1 and R4 respectively, and the Judith has an income of R37 to spend. HOW much of each good will judith consume in order to maximise her utility? What will be her total utility and marginal utility of the last rand spent on each good? Show all the calculationsA consumer spends all her income of £120 on the two goods A and B. Good A costs £10 a unit and good B costs £15. What combination of A and B will she purchase if her utility function is U = 440$ BO5? %3D
- A consumer can consume two goods, A and B, and has the utility function U-15A1/281/2, The consumer's budget is $900, the price of good A is $15 per unit and the price of good B is $45 per unit. (Assume A is the horizontal axis good and B is the vertical axis good. Both goods are infinitely divisible, but round numerical answers to 2 decimal places as necessary) What is the consumer's marginal rate of substitution? What is the consumer's marginal rate of transformation? What is the formula for the consumer's budget constraint? What is the consumer's utility-maximizing bundle given the utility function and budget constraint? A B HA consumer has a budget of $3000 in a given period, and wishes to buy two goods, X and Y, so as to maximise his utility. The price of good X is $5 and the price of good Y is $2, and his MRS is given by the formula 2Y/X. How many units of good X will he buy in that period?1) a consumer of two goods, either 1 or 2, has a utility function u (X1, X2) = X1 0.6. X2 0.4, where X1 denotes units of good 1 and X2 units of good 2. The price of good 1 is 5 euros per unit, the price of good 2 is 3 euros per unit and the consumer's income is 150 euros . Assume that only the price of good 1 changes and that the new price is P1 '= 2. Then the income that allows the consumer to consume exactly the initial basket after the decrease in the price of good 1 is Choose one: A) 86 B) 66 C) 76 D) 96 E) Not defined