6 To find the Marshallian quantities demanded given that the utility function is: x subscript 1 superscript 3 over 4 end superscript space x subscript 2 superscript 1 fourth end superscript. The individual's budget is BGN 12, the price of the first product is BGN 3, and the second product BGN 2. x1 = 3;x2=2 x1 = 3; x2=1.5
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- Louis is trying to decide what combination of cups and plates to buy. His budget is $12. Plates cost $4 each and cups cost $2 each. The numbers in the table represent total utility. Given his budget, which combination will maximize total utility? number of plates and cups. Quantity Plates Utility from Plates Quantity Cups Utility from Cups 1 33 1 15 2 64 2 27 93 42 4 103 4 54 112 65 123 75The following table reflects the utility one receives from consuming a given product. Units Consumed Total Utility (TU) Marginal Utility (MU) 0 0 ------- 1 60 60 2 ____ 50 3 150 ____ 4 175 ____ 5 ____ 20 6 210 ____ Complete the table solving for the missing total utility or marginal utility values in each row. Total utility increases throughout the table. What rate does total utility increase? In other words, is it rising at an increasing rate, a…Use the table below to answer the following question. Number of Units A) 95 B) 47.5 190 (D) 90 1 2 3 4 5 5 What is the marginal utility of the second unit? Total Utility 100 190 270 340 400 450
- Tony is throwing a party at his Fraternity and is trying to choose what booze to buy. A bottle of vodka has three times the alcohol as a six-pack of beer. Assume that Tony only cares about the total amount of alcohol in his basket. (use vodka on the X-axis and beer measured in six-pack on the Y-axis) a) Devise a utility function to represent these preferences. b) Suppose a bottle of vodka costs $40, a six-pack of beer costs $10, and the budget is $200. Write the budget constraint. c) Solve Tony’s utility maximization problem and find the optimal combination. d) Suppose that a bottle of vodka cost has increased to $50. What will be his new optimal combination.Suppose you had a budget of $20.00 and the prices of a burger and a slice of pizza are $4.00 and $2.00 respectively. What is the marginal utility per dollar spent for the fourth burger?Refer to the graph below Quantity of Y 160 0 Multiple Choice The consumer's income is $1,000 Why doesn't the consumer choose the combination at point B O Quantity of X 200 O The marginal utility of Y exceeds the marginal uplity of X O The consumer is willing to give up more X for an additional unit of Y than must be given up given the relative prices of X and Y. The marginal utility per dollar spent on X exceeds the marginal utility per dollar spent on Y The consumer is willing to give up more Y for an additional unt of X than must be given up given the relative prices of X and Y
- Jackie has a budget of $36 per month to spend on snacks. She can spend this budget on bags of potato chips (C) and Hershey chocolate bars (H). Potato chips cost $4 per bag, while Hershey bars cost $1 per bar. The utility that Jackie receives from consuming potato chips and Hershey bars is represented by the following utility function: U=3C2 H. Given that Jackie seeks to maximize her utility, find the number of potato chip bags and Hershey chocolate bars that Jackie will purchase each month.The table shows the total utility (TU) that James receives from consuming different amounts of two goods X and Y, per month. Quantity TUx MUx MUx/Px TUy MUy MUy/Py 0 0 0 0 0 0 0 1 50 50 16.67 75 75 25.00 2 88 38 12.67 117 42 14.00 3 121 33 11.00 153 36 12.00 4 150 29 9.67 181 28 9.33 5 175 25 8.33 206 25 8.33 6 196 21 7.00 225 19 6.33 7 214 18 6.00 243 18 6.00 8 229 15 5.00 260 17 5.67 9 241 12 4.00 276 16 5.33 d.How much total utility will James experience by buying the utility-maximizing combination? e.Suppose the price of good Y increases to $6. How many units of X and Y will he buy to maximize his utility now?Bags of potato chips Total utility Candy bars Quantity Total utility Quantity 1 10 1 8 2 16 2 14 3 18 3 18 4 19 4 21 20 23 Liz consumes two goods, candy bars and potato chips. Her budget is $4 per day. The price of a candy bar is $1.00 and the price of a bag of chips is 50 cents. Her utility is in the table above. For Liz to maximize her utility, what combination of candy bars and potato chips should she eat? O A. 2 candy bars and 4 bags of potato chips O B. 4 candy bars and 0 bags of potato chips OC. 1 candy bar and 5 bags of potato chips O D. 3 candy bars and 2 bags of potato chips O E. None of the above answers are correct.
- Enrique is a movie buff. He likes to watch on demand movies from his cable company, which cost $5 each, and so likes to go to the local movie house, which charges $15 a ticket. Suppose that given his budget and his tentative spending plans, the marginal utility from a cable movie is 15 utils and the marginal utility of a movie at the local cinema is 45 utils. Assuming he is spending his entire budget, Enrique is currently maximizing his utility Enrique can increase his utility by buying more cable movies and watching fewer cinema movies Enrique can increase his utility by buying more cinema movies and fewer cable moviesQuestion 3. Suppose that Janice only cares about tea (T) and coffee (C). Her utility function is U = 2T + 4C. The price of T is $1.50, and the price of C is $2.50. Janice has a budget of $15 for tea or coffee during the week. (a) Write down the consumers maximization problem. (b) What are the consumption quantities of T and C that will maximize Janice's utility?TABLE 6-2 Quantity (steaks) Total Utility Marginal Utility 0. 1 8. 8 20 y 3 18 4. 54 16 Refer to Table 6-2. The table shows Vladimir's total and marginal utility from eating steaks. What is the total utility that Vladimir gets from eating 3 steaks (x)? 32 37 38 44