. If (b + d) =0 in the linear market model, can an equilibrium solution be...
. If (b + d) =0 in the linear market model, can an equilibrium solution be found by using (3.4) and (3.5)? Why or why not?
Question 3.4 The demand and supply Functions of a two-commodity market model are as follows: Q_d1 = 18 -3P_1 + P_2 Qd_2 = 12 + P_1 - 2P_2 Qs_1 = -2 + 4 P_1 Qs_2 + = -2 + 3P_2 Find P*_1 and Q*_1 (i=1,2) . (Use fractions rather than decimals.)
Questions 3.5 Given the following model: Y = C I_0 + G_0 C = a + b (Y-T) (a>0, 00, 0
Please I need you to answer the top question only thanks!
Homework Answers
(3.4)
A, B, C and D are the required
answers.
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. If (b + d) =0 in the linear market model, can an equilibrium solution be...
Exercise 3.2: Single Unknown 2. Let the demand and supply function be as follows: a) Q_d=...
Exercise 3.2: Single Unknown 2. Let the demand and supply function be as follows: a) Q_d= 51 – 3P b) Q_d=30-2P Q_s=6P-10 Q_s=-6+5P Find P* and Q* by elimination of variables. (Use fractions rather than decimals) 4. If (b + d) =0 in the linear market model, can an equilibrium solution be found by using (3.4) and (3.5)? Why or why not? 3.4 Answer: P*_1 = 3 6/17 P*_2 - 3 8/17 Q*_1 = 11 7/17 Q*_2 = 8 7/17...
2. Let the demand and supply functions be as follows: (a) Qd-51 – 3P (6) Qd...
2. Let the demand and supply functions be as follows: (a) Qd-51 – 3P (6) Qd = 30 – 2P Qs = 6P - 10 Qs = -6 +5P find P* and Q* by elimination of variables. (Use fractions rather than decimals.) 3. According to (3.5), for Q* to be positive, it is necessary that the expression (ad – bc) have the same algebraic sign as (b+d). Verify that this condition is indeed satisfied in the models of Probs. 1...
Exercise 3.2: Single Unknown 2. Let the demand and supply function be as follows: a) Q_d=...
Exercise 3.2: Single Unknown 2. Let the demand and supply function be as follows: a) Q_d= 51 – 3P b) Q_d=30-2P Q_s=6P-10 Q_s=-6+5P Find P* and Q* by elimination of variables. (Use fractions rather than decimals) 4. If (b + d) =0 in the linear market model, can an equilibrium solution be found by using (3.4) and (3.5)? Why or why not?
Homework Problems (Ch 2&3) Module 1 – Week 1 Exercise 2.5: Function and exponents 1. Graph...
Homework Problems (Ch 2&3) Module 1 – Week 1 Exercise 2.5: Function and exponents 1. Graph the functions a) y = 16 + 2x b) y = 8 – 2x c) y = 2x +12 (In each case, consider the domain as consisting of nonnegative real numbers only) 5. Condense the following expressions: b) x^a\times x^b\times x^c c){\ \ x}^3\times y^3\times z^3 6. Find: b) \left(x^{1/2}\times x^{1/3}\right)/x^{2/3} Exercise 3.2: Single Unknown 2. Let the demand and supply function be as...
Exercise 4.1 Rewrite the market model (3.12) in the format of 4.1 2. with the variables...
Exercise 4.1 Rewrite the market model (3.12) in the
format of 4.1
2. with the variables arranged in the following order: Q_d1, Q_s1,
Q_d2, Q_s2, P_1, P_2. write out the coefficient matrix, the
variable vector, and the constant vector.
4. Rewrite the national-income model (3.23) in the format of (4.1),
with U asbtye first variable. Write out the coefficient matrix and
the constant vector.
3.12 model
3.23 model
4.1 matrices and vectors
The pictures are only a samplebso you could...
Homework Problems (Ch 2&3) Module 1 – Week 1 Exercise 2.5: Function and exponents 1. Graph...
Homework Problems (Ch 2&3) Module 1 – Week 1 Exercise 2.5: Function and exponents 1. Graph the functions a) y = 16 + 2x b) y = 8 – 2x c) y = 2x +12 (In each case, consider the domain as consisting of nonnegative real numbers only) 5. Condense the following expressions: b) x^a\times x^b\times x^c c){\ \ x}^3\times y^3\times z^3 6. Find: b) \left(x^{1/2}\times x^{1/3}\right)/x^{2/3} Exercise 3.2: Single Unknown 2. Let the demand and supply function be as...
Question 1 (10 marks) For a linear system Ax- b with 1 0 -1 A-1 2-1 2 -1 3 b=14 18 and compute by...
Please do question 5 for me. Thanks
Question 1 (10 marks) For a linear system Ax- b with 1 0 -1 A-1 2-1 2 -1 3 b=14 18 and compute by hand the first four iterations with the Jacobi method, using x()0 Hint: for the ease of calculation, keep to rational fractions rather than decimals Question 2 For the same linear system as in Question 1, compute by hand the first three iterations (10 marks) with the Gauss Seidel method,...
Consider the following model of a closed macroeconomy, The Labour Market Y 63.246N -N2/12 N 63.24...
Consider the following model of a closed macroeconomy, The Labour Market Y 63.246N -N2/12 N 63.246-WIP N. = 0.4142W / P (1) (2) (3) (4) Production function Labour demand Labour supply Labour market equilibrium The Goods Market C= 110 +0.75% ) (5) (6) (7) (8) (9) (10) Consumption function Investment function Government expenditure Disposable income Tax function Goods market equilibrium I 10 + 0.2 Y _ 200i G 200 T -333.333 Y=C+I+G The Money Market L = 1 00 +...
Recall the IS-LM model. In particular, the goods-market equilibrium condition was Y = C (Y −...
Recall the IS-LM model. In particular, the goods-market equilibrium condition was Y = C (Y − T ) + I (r) + G, and the money-market equilibrium condition was m = L (r, Y ). Here, the exogenous variables are G (government spending), T (taxes), and m (real money supply). The endogenous variables are Y (output, or income) and r (real interest rate). C (·) is the consumption function, which is increasing in disposable income Y − T , but...
2. Consider Market Model (а, b > 0) (c, d >0) Demand: Q%3Dа — БР Q%3D-с...
2. Consider Market Model (а, b > 0) (c, d >0) Demand: Q%3Dа — БР Q%3D-с + dP Supply: 1) Discuss in words the meaning of each equation in the model 2) Find the equilibrium levels of P and Q* 3) Draw gualitative conclusions about changes in P* and Q' when each of the parameters change. (Qualitative conclusion shows the direction of change.) Explain economic meaning of these changes 4) If a 10, c 5, b = 2; d =...
2. Let the demand and supply functions be as follows: (a) Qd-51 – 3P (6) Qd = 30 – 2P Qs = 6P - 10 Qs = -6 +5P find P* and Q* by elimination of variables. (Use fractions rather than decimals.) 3. According to (3.5), for Q* to be positive, it is necessary that the expression (ad – bc) have the same algebraic sign as (b+d). Verify that this condition is indeed satisfied in the models of Probs. 1...
Exercise 4.1 Rewrite the market model (3.12) in the
format of 4.1
2. with the variables arranged in the following order: Q_d1, Q_s1,
Q_d2, Q_s2, P_1, P_2. write out the coefficient matrix, the
variable vector, and the constant vector.
4. Rewrite the national-income model (3.23) in the format of (4.1),
with U asbtye first variable. Write out the coefficient matrix and
the constant vector.
3.12 model
3.23 model
4.1 matrices and vectors
The pictures are only a samplebso you could...
Please do question 5 for me. Thanks
Question 1 (10 marks) For a linear system Ax- b with 1 0 -1 A-1 2-1 2 -1 3 b=14 18 and compute by hand the first four iterations with the Jacobi method, using x()0 Hint: for the ease of calculation, keep to rational fractions rather than decimals Question 2 For the same linear system as in Question 1, compute by hand the first three iterations (10 marks) with the Gauss Seidel method,...
Consider the following model of a closed macroeconomy, The Labour Market Y 63.246N -N2/12 N 63.246-WIP N. = 0.4142W / P (1) (2) (3) (4) Production function Labour demand Labour supply Labour market equilibrium The Goods Market C= 110 +0.75% ) (5) (6) (7) (8) (9) (10) Consumption function Investment function Government expenditure Disposable income Tax function Goods market equilibrium I 10 + 0.2 Y _ 200i G 200 T -333.333 Y=C+I+G The Money Market L = 1 00 +...
2. Consider Market Model (а, b > 0) (c, d >0) Demand: Q%3Dа — БР Q%3D-с + dP Supply: 1) Discuss in words the meaning of each equation in the model 2) Find the equilibrium levels of P and Q* 3) Draw gualitative conclusions about changes in P* and Q' when each of the parameters change. (Qualitative conclusion shows the direction of change.) Explain economic meaning of these changes 4) If a 10, c 5, b = 2; d =...
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