Tom's utility on two goods, x and y, is presented as below. utility = U(x, y) = √xy ➡) If x costs $1 each and y costs $2 each, determine his utility-maximizing consumption quantities for x and y, assuming he is spending all his money endowment of $10. a) b) ) Suppose x price drops to $0.5. How much money can Tom save if he adjusts his consumption quantities of x and y such that he remains at the same level of utility he received in part a)?

Please get correct, I keep getting wrong. Thank you so much.

Please answer just the number IV part.

Suppose your utility for goods x1 and x2 is represented by the following utility function:  U(x1,x2)= x11/5  x24/5 a) What is your marginal rate of substitution, MRS12? b)  If the price for good x1 is p1 = 2, the price for good x2 is p2 = 4, and your available income is m = 20, write down your budget constraint. c) Using the prices and income given at b) above, find your optimal consumption choice bundle (Marshallian demand) and its corresponding utility level. d) Illustrate your optimal consumption choice on a graph. e) For the prices given in b), what income would you need to achieve a utility level of 25?

Hand written solutions are strictly prohibited.

There are two goods, apples and bananas. The price of apples is PA = $2,and the price of bananas is PB = $3. A consumer has $120 to spend, and his utility function is U(A,B)=2A2B3 a) With apples on the x axis, the slope of the budget line is ________ b) At A=2, B=1, the marginal utility of A is  and the marginal utility of B is ________ c) At the optimal bundle, the consumer buys  apples and  bananas ______

A consumer has a utility function U(X,Y ) = X1/2 Y1/2 . Prices of the goods are pX = £10 and pY = £5, respectively, and the consumer has income M = £200 to spend on X and Y. Currently, she buys 2 units of good X and spends the rest of her income on good Y.a) Determine this consumer’s current utility level. b) Compute the consumer’s marginal utilities of goods X and Y. c) Explain why the consumer’s current consumption of goods X and Y is not optimal. Should she substitute X for Y or vice versa? The consumer’s marginal rate of substitution is MRS = Y/X.d) Determine this consumer’s optimal consumption of both goods. e) By how much does the consumer’s utility increase when she consumes the optimal bundle?

Suppose your utility for goods x1 and x2 is represented by the following utility function:  U(x1,x2)= x11/5  x24/5 a) What is your marginal rate of substitution, MRS12? b)  If the price for good x1 is p1 = 2, the price for good x2 is p2 = 4, and your available income is m = 20, write down your budget constraint. c) Using the prices and income given at b) above, find your optimal consumption choice bundle (Marshallian demand) and its corresponding utility level. d) Illustrate your optimal consumption choice on a graph. e) For the prices given in b), what income would you need to achieve a utility level of 25?   PLEASE ONLY ANSWER PART C, D AND E

There are two goods, coffee and mineral water, available in arbitrary nonnegative quantities (so the consumption set is R2+). A consumer has preferences over consumption bundles that are represented by the following utility function:u(c, m) = min{c, m} + c + m, where c is the quantity of coffee (in grams) and m is the quantity of mineral water (in liters). The consumer has wealth in Dirhams of w > 0. The price of coffee is p > 0 (in grams/Dirham) and the price of mineral water q > 0 (in liters/Dirham).   (a) In an appropriate diagram, illustrate the consumers map of indifference curves. Make sure you label the diagram clearly, and include as part of your answer any calculations about the slopes of the indifference curves. (b) Formulate and solve the consumer’s utility maximization problem. Your final answer should describe the consumer’s demand for coffee and mineral water as a function of the wealth w and the prices p and q, as well as the consumer’s indirect utility…

Beans and doughnuts: The consumer receives positive benefits from the consumption of beans (B) and donuts (K). Utility function of the consumer is the following: U(B,K) = 100∙B^0.25 · K^0.75 The price of beans (can) is ISK 2,000. but the price of a donut (box) is ISK 4,000. Consumption restrictions are placed on the consumer since his income is ISK 400,000. Put on all form donuts on the x-axis and beans on the y-axis. a) Show an equation for the bean's success rate for a single donut in light of the utility function. Draw the equivalence curve on a picture and explain what the equation is performance ratio is stated at each point on the equivalence curve. Explain with the concept of the efficiency ratio of the curvature of the equivalent curve. b) Find the most efficient consumption combination and draw on the diagram. c) The government decides to support the consumption of beans so its price drops to 1,000. Who is the most economical consumption combination based on the changed price…