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- q 14. suppose that MUx=10 and MUy=20. Furthur suppose that the consumer's budget constraint can be expressed as 20x+10y=400. For this consumer, the optimal amount of good x to buy would be.jamie has $100 that he can spend on milk and gas. A gallon of milk costs $5.However, government gives its citizens a coupon that entitles people to 20%discount on their first 10 gallon milk purchases. Gas costs $4 per gallon andgovernment charges $1 for each gallon of purchased gas. Jamies utility functionis U (x, y) = 9x+10y, where x and y represent gallons of milk and gas consumed,respectively. What is Jamies optimal consumption of milk and gas?Part bIf government removes the quantity restriction to which the coupon applies (i.e.20% discount is applied to any quantity of milk purchased), what will be jamieoptimal consumption?brownie has $100 that he can spend on milk and gas. A gallon of milk costs $5.However, government gives its citizens a coupon that entitles people to 20%discount on their first 10 gallon milk purchases. Gas costs $4 per gallon andgovernment charges $1 for each gallon of purchased gas. John’s utility functionis U (x, y) = 9x+10y, where x and y represent gallons of milk and gas consumed,respectively. What is John’s optimal consumption of milk and gas?Question 3 Part bIf government removes the quantity restriction to which the coupon applies (i.e.20% discount is applied to any quantity of milk purchased), what will be John’soptimal consumption?
- Assume that Sophia has $1000 per month to spend between dinners at a Thairestaurant and evenings at MECA, a local club. Assume that going to MECAcosts $200 and eating at the Thai restaurant costs $100.i. Draw Sophia’s budget constraint. Restaurants on the Y-axisScenario 3 Suppose the government implements an income support program with the intention of making sure residents are able to purchase sufficient food. The government pays a cash benefit to all individuals with incomes less than $1000 according the following formula: cash benefit (CB) = $200 – 0.2*(earned income(I)) Households spend all of their income on food (F) and other goods (X). The price of food and other goods are normalized to 1. A households budget constraint is F + X = CB + I Households have the following preferences: U = 0.25*ln(F) + 0.75*ln(X) Refer to Scenario 3 Suppose instead of cash, the government benefit is in the form of food stamps, or vouchers, that must be spent on food. How much does the household spend on food now?Scenario 3 Suppose the government implements an income support program with the intention of making sure residents are able to purchase sufficient food. The government pays a cash benefit to all individuals with incomes less than $1000 according the following formula: cash benefit (CB) = $200 – 0.2*(earned income(I)) Households spend all of their income on food (F) and other goods (X). The price of food and other goods are normalized to 1. A households budget constraint is F + X = CB + I Households have the following preferences: U = 0.25*ln(F) + 0.75*ln(X) Refer to Scenario 3 Suppose a household has earned income of $300. How much does this household receive in benefits? and how much does the household spend on food?
- If this good is available for $0 (a free good), what is the maximum amount an individual would consume? _____ units. What is the marginal utility of this last unit? 0 untils.Assume that Sara has $800 per month to divide between playing golf and playing paint ball . Assume Golf costs $40 and paintball costs $80 . Suppose Sara plays golf eight times per month and plays paintball six times per month . a. Draw Sara’s budget constraintb. Assume Sara has new expenses and can spend $320 only this month. Draw the new budget constraintc. As a result of a decrease in income Sara decides to play 11 rounds of golf and two games of paintball . what kind of a good is paintball ? what kind of a good is golf?d. Assume Sara has $400, the price of paintball is still $40 , but the price of Golf doubles , draw the new budget constraintSuppose a family (with 1 child) earns $50,000 per year and there is no publicly provided education. Assume the price of other goods is $2,000 and the price for education/ year is $5,000. Show how a school voucher redeemable for $20,000 worth of education changes the family's budget constraint. What happens to the amount of education the family purchases for the child?
- The president of LeTall University, President John, spends $30 per week on pizzas (qz)and beers (qb). At LeTall Pizza, his go-to pizza joint, pizza costs $3 per slice and beeralso costs $3 per can. Assume fractions of the goods are allowed.(a) Draw President John’s budget line (qb on the horizontal and qz on the vertical axis).(b) President John receives a coupon from LeTall Pizza. The coupon, which will expirein a week, allows him to buy a can of beer at a discounted price of $1 per can. Itis, however, only good for a dozen cans of beer. Draw President John’s budget lineunder the coupon. Label any critical points on the budget line.(c) In another week, LeTall Pizza offers a special deal for pizza. For every half dozenslices of pizza bought during the week, one can get two additional slices for free.Draw President John’s budget line under the special deal. Label any critical pointson the budget line.person 1 can allocate her 8 hour day between the production of two goods: A and B. Each hour devoted to good B yeilds 2units . whereas each hour devoted to good A produces 4 units. state whether 9 units of good B and 12 units of good A are unattainable, efficient, or inefficient.(state all that applies) select one or more attainable inefficient efficient unattainableSuppose the government implements an income support program with the intention of making sure residents are able to purchase sufficient food. The government pays a cash benefit to all individuals with incomes less than $1000 according the following formula: cash benefit (CB) = $200 – 0.2*(earned income(I)) Households spend all of their income on food (F) and other goods (X). The price of food and other goods are normalized to 1. A households budget constraint is F + X = CB + I Households have the following preferences: U = 0.25*ln(F) + 0.75*ln(X) Refer to Scenario 3 Suppose a household has earned income of $300 and instead of cash, the government benefit is in the form of food stamps, or vouchers, that must be spent on food. How much does the household spend on food now?