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- You are choosing between two goods, X and Y, and your marginal utility from each is as shown in the following table. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? What total utility will you realize? Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? Using the two prices and quantities for X, derive a demand schedule (a table showing prices and quantities demanded) for X.You are choosing between two goods, X and Y, and your marginal utility from each is as shown in the table below. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? What total utility will you realize? Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? Using the two prices and quantities for X, derive a demand schedule (price–quantity-demanded table) for X.Suppose you go to Trader Joe's to buy fruit for the week. You only like apples (A) and bananas (B) and your weekly fruit budget is $11. When you arrive at Trader Joe's you notice that the price of an apple is $1.00 and the price of a banana is $0.25. QUESTION #1: How many apples and bananas should you buy? QUESTION #2: When you have found the answer, draw a diagram that shows the outcome. Step #1. Determine your preferences. Let's suppose that your preferences can be represented by the following utility function: U(A, B) = AªBB = A0.40 B0.60 FYI: This utility function is known as a Cobb-Douglas utility function. It is the most commonly used function used in economics! The reason we like it so much is that it has: 1. Constant returns (double your consumption of A and B and your utility doubles); a + B = 1 2. Diminishing marginal utility (the extra utility gained from consuming A (or B) decreases as you consume more of the A good (or B good); a 0.40); B > a. Step #2: Determine your…
- Suppose you go to Trader Joe's to buy fruit for the week. You only like apples (A) and bananas (B) and your weekly fruit budget is $11. When you arrive at Trader Joe's you notice that the price of an apple is $1.00 and the price of a banana is $0.25. QUESTION #1: How many apples and bananas should you buy? QUESTION #2: When you have found the answer, draw a diagram that shows the outcome. Step #1. Determine your preferences. Let's suppose that your preferences can be represented by the following utility function: U(A, B) = AªBß = A0.40 B0.60 FYI: This utility function is known as a Cobb-Douglas utility function. It is the most commonly used function used in economics! The reason we like it so much is that it has: 1. Constant returns (double your consumption of A and B and your utility doubles); a + B = 1 2. Diminishing marginal utility (the extra utility gained from consuming A (or B) decreases as you consume more of the A good (or B good); a 0.40); B > a. Step #2: Determine your…The daily total utility per quantity of consumption is shown in the figure. This shows that the total utility of consuming 1 product is $1.60, the total utility of 2 products is $3.00, and so on. Using marginal analysis, for which market price (per unit) is the optimal daily quantity of consumption 4 units? Quantity (units) 1 2 3 4 5 Total utility $1.60 $3 $4.20 $5.20 $6.00 a) $5.10 b) $0.90 c) $1.10 d) $1.30 e) $5.30True or false. A budget constraint, budget line or budget set is a graphical way to illustrate all possible combinations of two goods that a person can afford.
- Assume someone has a utility function of U = Min[3X, Y]. They currently have 8 units of X and 3 units of Y. The price of X is $12 and the price of Y is $3. If this person could sell some units of X and/or Y what level of utility could they achieve?Question 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?sketch a person’s indifference map and budget line for two goods, X on the horizontal axis and Y on the vertical axis. Mark the optimum consumption point. Now illustrate the following (you might need to draw a separate diagram for each): (a) A rise in the price of good X (a normal good), but no change in the price of good Y. (b) A shift in the person’s tastes from good Y to good X. (c) A fall in the person’s income and a fall in the price of good Y, with the result that the consumption of Y remains constant (but that of X falls).
- 34) Consider Dianna who has a $25 fast food budget per month. She can purchase salads (S), hamburgers (H), or chicken strips (C). The price of a salad is Ps=$3, the price of a hamburger is PB-$2 and the price of chicken strips is Pc $4. Fill in the table below. You will use your solutions to answer questions 34-36. # Hamburgers # Salads 1 2 2 MU Salads 36 30 c) 4; 3; 4 d) 5; 4; 5 MU/P Salads 1 2 3 4 5 MU hamburgers 5 In the optimal consumption bundle for Dianna, she will purchase chicken strips. a) 2; 1; 2 b) 3; 2; 3 28 22 16 36) Dianna total utility from her consumption bundle is a) 126 b) 504 c) 106 d) 398 MU/P # Hamburgers Chicken Strips T 2 3 7 salads, 4 5 35) Dianna's utility is maximized where the marginal utility per dollar spent on each item is equal to a) $10 b) $12 c) $14 d) $16 MU Chicken Strips 72 64 56 48 40 hamburgers, and MU/P Chicken StripsExplain utility and its connection to consumer behaviorThink back to a purchase that you made recently and respond to the following: How would you describe your thinking before you made that purchase? Did you have any budget constraints? If so, what were they? Would you have made the purchase if the price had increased? Why or why not?