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- 13. (Use this information to answer qustion 13 - 16) Suppose a household solves the following two-period consumption-savings problem max u(c₁) + Bu(c2) {C1,C2} s.t. aw Y1 - C1 C2y2 (1+r)a with u(c) = √c where c₁ is consumption at time 1, c2 is consumption at time 2, y₁ is houshold income at time 1, 2 is houshold income at time 2 and w is the initial wealth. Suppose the incomes of the household are $50 in time 1 and $210 in time 2. The initial wealth is $100, the discount factor is 0.975 and interest rate is 5%. Solve for the household's choice of C1. (a) 125.12 (b) 126.58 (c) 175.16 (d) 341.88 14. Now a government wants to introduce income tax in both time 1 and time 2 {1, 2} to finance a construction project that costs $50 in time 1 and another $52.5 in time 2. Which ones of the following are the household intertemporal budget constraints. (a) y1 + 1/2 =C1+ 1+1 Y2 (b) w+y1 + = C₁ + 1+r 1+r (c) wy1T1 + Y2 T2 1+r Y2 1+r = €1 + 12 1+r (d) wy171 + =C1+ 1+r C2 (1+72) 1+r 15. Solve for the…Consider the relationship y = f(x). In this relationship: %3D Oa. y is called the independent variable and x is called the dependent variable. O b. y is called the range and x is called the domain. O c. yis called the dependent variable and x is called the independent variable. O d. y is called the domain and x is called the range.21- The purchase of a new car falls under which of the following types of expenditure? A) C B) M C) G D) X E) I
- 8) Which of the following items is not part of the GDP calculation? Select one: O a. A number of unemployed citizens receive unemployment insurance benefit O b. A person purchases a local car O c. The government expands the highway between two main cities O d. Local citizens receiving medical care3. [Sometimes, it's useful to think about what fraction of a consumer's money they spend on each good, rather on how many units they buy. (a) Show that every x EX(p,m) can be written as x = f1(m/p₁,0) + f2(0, m/p2 ) + (1-f1-f2)(0,0) for some numbers f1,f2 20 with f1 + f2 ≤1. (b) Let f1 and f2 be as in part (a). Give an expression, in terms of f1 and f2, for the fraction pix₁/m of the consumer's money that they spend on good 1. (c) Let f1 and f2 be as in part (a). Give an expression, in terms of f1 and f2, for the fraction p2x2/m of the consumer's money that they spend on good 241
- Ewa spends all her 600 PLN bonus on the purchase of sweets and cosmetics. Draw the Ewa's budget line, knowing that her favorite sweets cost PLN 10 per pack and the price of cosmetics is PLN 25. •How will Ewa's situation be affected by the PLN 50 bonus increase? •What will happen if the price of cosmetics increases to PLN 30? •How, from the point of view of initial situation, we will evaluate the following quantitative combinations: –30 packages of sweets and 15 cosmetics –60 packages of sweets and 24 cosmetics –20 packages of sweets and 10 cosmetics –10 packages of sweets and 15 cosmetics26. Describe the consumption pattern of the consumer based on the table below unit MU/P MU/P (sundae) fries 8 1st 2nd 17 5 3rd 11. Table 1 is the data for the per week household consumption Y and income X in the US. Table 1 data for household consumption and income Income per week (US $) (X) Consumption per week (US $) (Y) 80 55, 60, 65, 70, 75 100 65, 70, 74, 80, 85, 88, 120 79, 84, 90, 94, 98 140 80, 93, 95, 103, 108, 113, 115 160 102, 107, 110, 116, 118, 125 180 110, 115, 120, 130, 135, 140 200 120, 136, 140, 144, 145 220 135, 137, 140, 152, 157, 160, 162 240 137, 145, 155, 165, 175, 189 260 150, 152, 175, 178, 180, 185, 191 a. For each Xi, calculate the conditional expectation of Y: E(Y| Xi) b. draw the scattergram, with income being X-axis, consumption being Ү-аxis. c. Draw the E(Y| Xi) on the above figure d. Write the different representations of PRF and SRF. (like Y, = b, +b,X, +u,, E(Y|X = X,)=b, +b,X,, etc.)
- 10. (Figure 5.6) Garth spends his income on ice cream and coffee, and coffee sells for $1 a cup. If ice cream sells for $1.50 per gallon, Garth will purchase: Coffee (cups) | 12- 11 10- 9 8- 7- 6- 5- 4 3- 2 34 5678 9 10 Ice cream (gallons) 8 gallons. 6 gallons. 2 gallons. O 1 gallon.6 (i) FIGURE 6 (i) 22 18 10 1 2 3 Number of video games rented per month 4 All the questions below are referring to Figure 6 (i) and explain and show your computation in your answer. a) The marginal utility of the first video game rental is b) The marginal utility of the third video game rental is c) At which unit of video game, the marginal utility is zero. Total utility1. There is a country, which is located in the south of the Mediterranean. This country's GDP is 500 billion USD and the population is 40 million. The total Used Electric Power capacity is 50 GW, the energy mix (electrical energy produced in one year by each primary source) is as follows; Hydro = 25 %, Photovoltaic = 5%, Wind = 10 %, Natural Gas = %40 and Coal = 20% a) Calculate the produced electrical energy by each primary sources for one year. b) Calculate the electrical energy consumed per capita and compare it with Europe average. c) The Electrical energy is 1/3 of the total energy consumed (TPES) in this country. Obtain the Energy intensity. d) Calculate the total CO₂emissions in one year while producing electricity.