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Microeconomics Theory Study Set 1
Quiz 3: A Consumers Constrained Choice
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Question 101
Multiple Choice
-Max has allocated $100 toward meats for his barbecue.His budget line and indifference map are shown in the above figure.If the price of burger increases,which of the following bundles are in Max's opportunity set?
Question 102
Multiple Choice
-Max has allocated $100 toward meats for his barbecue.His budget line and indifference map are shown in the above figure.If Max's current MRS = -1,then Max
Question 103
Multiple Choice
-Max has allocated $100 toward meats for his barbecue.His budget line and indifference map are shown in the above figure.If Max is currently at point e,
Question 104
Essay
Suppose Joe's utility for lobster (L)and soda (S)can be represented as U = L
0.5
S
0.5
.Joe walks into a restaurant with $72.Lobsters cost $18 each and sodas cost $2 each.How much lobster and soda will Joe consume if he intends to spend all his money? (There are no tax and no tips. )
Question 105
True/False
If MRS > MRT,then the consumer is better off than at equilibrium.
Question 106
Essay
Lisa consumes only pizzas (P)and burritos (B).Her utility function is U = P
0.5
B
0.5
.The price of per pizza is $10 and the price per burrito is $5.In equilibrium,Lisa consumes four pizzas.Using Lisa's utility function,calculate how many burritos she consumes.
Question 107
Essay
A consumer has preferences given by the constant elasticity of substitution utility function: U(q
1
,q
2
)= (q
1
.5
+ q
2
.5
)
2
a.Write the Lagrangian for the consumer's maximization problem. b.Use the Lagrangian to solve for the optimal quantities in terms of the prices and income.
Question 108
Multiple Choice
-Max has allocated $100 toward meats for his barbecue.His budget line and indifference map are shown in the above figure.If Max is currently at point d,
Question 109
Essay
Jezz has the quasi log-linear utility function U(q
1
,q
2
)= q
1
+ 2ln(q
2
) Jezz has an income of $100 and faces prices p
1
= p
2
= 20. a.What is the marginal rate of substitution for this utility function? b.Solve for Jezz's optimal bundle. c.Suppose Jezz's income falls to $20.What will happen to his optimal bundle? Is the MRS = MRT at the optimal bundle?
Question 110
Essay
-John is indifferent between canned soup and fresh soup.Canned soup sells for $1 per serving and fresh soup sells for $2 per serving.Assuming that John has allocated $4 toward soup,how will he spend it? Explain your answer by drawing John's budget line and indifference curves.
Question 111
Essay
Lisa consumes only pizzas and burritos.In equilibrium,her marginal utility of pizza is 20 and her marginal utility of a burrito is 10.The price of a pizza is $4.What is the price of a burrito?
Question 112
Essay
Joseph has the utility function U(F,H)= 10F
2
H,where F is the quantity of food he consumes per year and H is the quantity of housing per week.Suppose the price of food is $10 and the price of housing is $5,while Joseph has an income of $150/week. a.Calculate Joseph's MRS as a function of the quantities F and H. b.Write out Joseph's constrained optimization problem with the information provided. c.Using the substitution method,solve for Joseph's optimal consumption bundle of food and housing. d.Show that at the optimum,Joseph consumes the bundle along the budget constraint where MRS = MRT.
Question 113
Multiple Choice
Jane has the utility function U = F
0.5
C
0.5
,then her expenditure function would be
Question 114
Multiple Choice
Jane's utility function is represented as: U = F
0.5
C
0.5
,F is quantity of food and C is quantity of clothing.If her budget constraint is represented as: 120 = 2F + C,her optimal bundle of consumption should be