Suppose Sue considers orange and apple to be perfect two-for-three substitutes and spends $30 income only on these two goods. Orange costs $2/lb, while apple costs $1/lb. Find Sue's optimal consumption bundle. What will be the income and substitution effects of an increase in the price of apple to $2/lb? What will be Sue's optimal consumption bundle after the increase in the price of apple to $2/lb?
Suppose Sue considers orange and apple to be perfect two-for-three substitutes and spends $30 income only...
Sarah buy two goods, orange juice and apple juice, which she considers substitutes. Assume Sarah considers both goods normal. Draw a utility-maximization model showing the substitution and income effects of a decrease in the price of orange juice.
1) Consider a poor person’s annual income of $ 1200. He spends his income only on vegetable and rice. The price of rice is $8/lbs. in the entire town and the price of vegetable is $12/lbs. in the town. Please draw this person’s Budget line, whereby rice is supposed to be on the horizontal Axis and vegetables on the vertical axis. a) Assume that the student considers rice and veggies neither as perfect complements, nor as perfect substitutes. Based on...
John considers milk (x1) and hot chocolate (x2) to be perfect substitutes at a rate of 2 : 1, that is, he always receives the same utility if he has two glasses of milk or one cup of hot chocolate to drink. He spends $12 a day on hot beverage, and milk cost $1 while hot chocolate cost $3 each. [10 Points] What is the optimal bundle of milk and hot chocolate (x1, x2) which gives him the highest utility?...
4) Assume that you are consuming Pepsi and Coke only and you consider them as perfect substitute one can of Pepsi for one can of Coke. Assume that the price of Pepsi is $1 per can and price of Coke is $3 per can and that your income is $30. a) Draw the budget constraint and indifference curve as needed. b) Show the optimal consumption bundle on your graph. c) Now assume that price of Pepsi increase to $2. What...
(38pts) Suppose a consumer spends all of her income on only two goods, z and y. Her preferences over these two goods are represented by the utility function u(r,y) min(, 4y). The price of good y is given to be S8. Her income and price of z are represented by m and ps, respectively. (a) (10 pts) Find the demand for good z as a function of m and pa. (b) (5 pts) Is good z ordinary or Giffen good?...
Emily's income is $120. She spends her entire income on books. Emily considers paperback and electronic books to be perfect substitutes, and she is always indifferent between one paperback book and one electronic book. Initially, the price of a paperback book is $15 and the price of an electronic book is $10. Then the price of a paperback book falls to $8. Which of the following statements is true? a) For paperback books, the income and substitution effects have the...
Mary considers spoonfuls of sugar (S) and spoonfuls of medicine (M) to be perfect substitutes and always requires 4 spoonfuls of sugar to be willing to give up 2 spoonfuls of medicine (Notice that it means the spoonful of medicine is more valuable for Mary than the spoonful of sugar). Suppose sugar costs $2 per spoonful and medicine costs $3 per spoonful. Mary's income is $18. Which of the following expresses Mary's utility function and optimal consumption bundle? A. U(S,M)...
John considers milk (x1) and hot chocolate (x2) to be perfect substitutes at a rate of 2 : 1, that is, he always receives the same utility if he has two glasses of milk or one cup of hot chocolate to drink. He spends $12 a day on hot beverage, and milk cost $1 while hot chocolate cost $3 each. Draw the Income Offer Curve and Engel Curve for milk. Draw the Price Offer Curve and Demand Curve for milk....
. (15 marks) Rajan spends all his money on only two goods, bananas and scones. Bananas cost $0.60/kg, and scones $0.50 each (assume he can purchase partial scones). (1) Sketch Rajan's budget constraint if he has an income of $20/day. (Put bananas on the horizontal axis.) Rajan has well-behaved preferences[1], and his optimal bundle contains 20 scones. b) (2) Illustrate his optimal bundle in your diagram for (a); label it A. Why is this choice optimal? What conditions does it satisfy? (2)...
1. (15 pts) Suppose Amy enjoys apple juice (A) and grape juice (G) according to U(A,G) = 3A+4G. (a) (4 pts) If apple juice costs 3 cents per ounce and grape juice costs 5 cents per ounce, and Amy has 30 cents to spend on these products, how much apple juice and grape juice should she buy to maximize her utility? (b) (3 pts) Draw the graph of her indifference map and her budget constraint, and show that the utility...