Consumer's utility function for consumption levels in two periods, c and ca2, is min(2c1, c). The (non-negative) interest rate is r and there is no inflation. The income is 100 in the first period and 20 in the second period. If the consumer behaves optimally, what is the smallest level of consumption in period 1? What is the largest level of consumption in period 1? Explain your reasoning.
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- Suppose Damaris is a sports fan and buys only football tickets. Damaris deposits $2,000 into a savings account that pays an annual nominal interest rate of 10%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a football ticket has a price of $10.00. Initially, Damaris's $2,000 deposit has a purchasing power of football tickets. For each of the annual inflation rates given in the following table, first determine the new price of a football ticket, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Damaris's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest football ticket. For example, if you find that the deposit cover 20.7 football tickets, you would round the purchasing power down to 20 football…There are some simplifying assumptions in order to generate simple expressions. One of these assumptions is that r (interest rate) = ρ (rate at which household discounts future). Suppose we relaxed this assumption (i.e. allowed r to differ from ρ). Two results of the model are: i) The household keeps the expected value of consumption constant over time. ii) The household responds differently to permanent versus temporary income changes. Discuss the implications of allowing r to differ from ρ on each of these resultsWe write the change in total revenue with respect to change in price as dTR/dP. What is the correct expression in the right side of the following equation? dTR/dP= A.) Q(1-n) B.) Q(1+n) C.) Q[1-(1/n)] D.) Q[1+(1/n)]
- Wherein:TU = Total Utilityf= is a function ofMU = Marginal UtilityO = units of consumptionA= infinitesimal change EMV= Expected Monetary ValueIn Irving Fisher’s two period model, if the consumer is initially a saver and the interestrate and the first period consumption increases, then we can conclude that the incomeeffect:a) Was greater than the substitution effectb) Was less than substitution effectc) Exact offset the substitution effectd) And the substitution effect both increased consumptionSuppose Dalia is a sports fan and buys only football tickets. Dalia deposits $4,000 into a savings account that pays an annual nominal interest rate of 5%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a football ticket has a price of $10.00. Initially, Dalia's $4,000 deposit has a purchasing power of football tickets. For each of the annual inflation rates given in the following table, first determine the new price of a football ticket, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Dalla's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest football ticket. For example, if you find that the deposit will cover 20.7 football tickets, you would round the purchasing power down to 20 football…
- Find the APC when consumption is said to be 192 and the income is 246Suppose Dalia is a sports fan and buys only football tickets. Dalia deposits $3,000 into a savings account that pays an annual nominal interest rate of 5%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a football ticket has a price of $15.00. Initially, Dalia's $3,000 deposit has a purchasing power of football tickets. For each of the annual inflation rates given in the following table, first determine the new price of a football ticket, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Dalia's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest football ticket. For example, if you find that the deposit will cover 20.7 football tickets, you would round the purchasing power down to 20 football…Suppose Dalia is a sports fan and buys only football tickets. Dalia deposits $2,000 into a savings account that pays an annual nominal interest rate of 20%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a football ticket has a price of $20.00. Initially, Dalia's $2,000 deposit has a purchasing power of football tickets. For each of the annual inflation rates given in the following table, first determine the new price of a football ticket, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Dalia's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest football ticket. For example, if you find that the deposit will cover 20.7 football tickets, you would round the purchasing power down to 20 football…
- Say you define your permanent income as the average income this and the past 4 years’ incomes and you always consume 4/5 of your permanent income. Your earnings record over these years has been: Yt = 40,000 Yt-1 = 38,000 Yt-2 = 34,000 Yt-3 = 32,000 Yt-4 = 31,000 If next year your income increases to Yt+1 = 46,000 by how much will your consumption change between year t and year t+1?A company selling widgets has found that the number of items sold, x, depends upon the price, p at 90000 which they're sold, according the equation z = (0.6p + 1)? Due to inflation and increasing health benefit costs, the company has been increasing the price by $0.06 per month. Find the rate at which revenue is changing when the company is selling widgets at $8 each. Revenue is decreasing by dollars per month Hint: Give your answer as a positive value.Define time preferences for consumption