A consumer's preferences for food (x) and clothing (y) are represented by the utility function ?x,y = x + y^0.5. The prices of food and clothing are ? x = 4 and ? y = 1 euros per unit, respectively, and the consumer's income is m = 8 euros. Calculate the optimal basket.
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7. A consumer's preferences for food (x) and clothing (y) are represented by the utility function ?x,y
= x + y^0.5. The prices of food and clothing are ? x = 4 and ? y = 1 euros per unit, respectively, and the consumer's income is m = 8 euros. Calculate the optimal basket.
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- 7. A consumer's preferences for food (x) and clothing (y) are represented by the utility function Ux,y = x + y^0.5. The prices of food and clothing are Px =4 and Py = 1 euros per unit, respectively, and the consumer's income is m = 8 euros. Calculate the optimal basket.How does a consumer’s optimal choice of goods change if all prices and the consumer’s income double?Assume that a consumer has a given budget or income of $10 and that she can buy only two goods, apples or bananas. The price of an apple is $1.00 and the price of a banana is $0.50. If the consumer decides to buy 4 apples, how many bananas can she also buy with the remainder of her budget, assuming she exhausts her income? 12 bananas 5 bananas 8 bananas 15 bananas
- Suppose a person allocates a given budget between food and clothing. If food is an inferior good can you tell whether clothing is inferior or normal? Explain.The graph shows the budget line for a consumer who only buys cookies and magazines. If the consumer's income is $20, what is the price of a Magazine? 24 20 16 4 2 4 6 8 10 12 Magazines (number per week) dollar(s) Cookies (number per week)Suppose John decides to buy 4 units of food and 4 units of clothing with his $12 budget. Would his marginal utility per dollar spent on food be greater than or less than his marginal utility per dollar spent on clothing? What does this tell you about how he should substitute food for clothing if he wanted to increase his utility without spending any more money?
- Considering the following Diagram of consumer equilibrium, answer the following questions. If consumer has $100 to spend on X and Y at Budget line DE, what are the prices of X and Y products. What combination of X & Y maximizes the consumer’s total utility at Budget line DE? Why a consumer has moved to point B on Budget line DE1 from Point A of Budget line DE? Derive the demand curve of X product. What is relationship between X and Y productsJerry spends his entire budget on bread and gasoline. His preferences are complete, transitive, monotonic, and convex. For Jerry, bread is an inferior good that follows the law of demand. Moreover, his cross-price elasticity of demand for gasoline with respect to the price of bread is negative. Suppose the price of bread increases, all else constant. a. Create a chart to show the total, income, and substitution effects on bread and gasoline of the increase in the price of bread. b. Use budget lines and indifference curves to graphically illustrate the three effects. Be sure to label each effect on your graph (or through the chart from part a) and plot bread on the x-axis and gasoline on the y-axis10- 8 Quantity of D A 6 2 0 2 6 8 10 4 Quantity of C Refer to the budget line shown in the diagram. Which of the following combinations of goods is unattainable for this consumer? 1 unit of C and 8 units of D 8 units of C and 4units of D 6 units of C and 2 units of D 2 units of C and 6 units of D
- Q1. You have Rs.10. The price of samosa is Rs.1 per unit. The price of a steak sandwich is Rs.3 The utility received from consuming samosa and steak is given below. a. How many samosas and steak sandwiches should be bought to maximize utility? Calculate utility maximizing quantities of samosas and steak sandwiches when income equals Rs.10 and the price of beer is Rs.1 and the price of steak sandwiches is Rs.3 using the utility b. maximizing rule No. of TU of samosa MU of No. of steaks TU of steaks MU of steaks samosas samosa 1 15 1 24 2 24 45 32 63 4 39 4 75 45 84 47 87Ray buys only hamburgers and bottles of root beer out of a weekly income of $100. He currently consumes 20 bottles of root beer per week, and his marginal utility of root beer is 6. The price of root beer is $2 per bottle. Currently, he also consumes 15 hamburgers per week, and his marginal utility of a hamburger is 8. Is Ray maximizing utility at his current consumption basket? If not, should he buy more hamburgers each week, or fewer?A consumer is currently purchasing three pairs of jeans and five T-shirts per year. The price of jeans is $30, and T-shirts cost $10. At the current rate of consumption, the marginal utility of jeans is 60, and the marginal utility of T-shirts is 30. Is this consumer maximizing his or her utility? Would you suggest that he buy more jeans and fewer T-shirts, or more T-shirts and fewer jeans?
