2. In a two-industry economy. it is know that industry I uses 10 cents of its own product and 60 cents of commodity II to produce a dollar's worth of commodity I: industry II uses none of its own product but uses 50 cents of commodity I in producing a dollar's worth of commodity II: and the open sector demands RM1000 billion of commodity I and RM2000 billion of commodity II. a) Write out the input matrix. the Leontief matnx. and the specific input-output matrix equation for this economy. b) Find the solution output levels by Cramer's rule.

2. In a two-industry economy. it is know that industry I uses 10 cents of its own product and 60 cents of commodity II to produce a dollar's worth of commodity I: industry II uses none of its own product but uses 50 cents of commodity I in producing a dollar's worth of commodity II: and the open sector demands RM1000 billion of commodity I and RM2000 billion of commodity II. a) Write out the input matrix. the Leontief matnx. and the specific input-output matrix equation for this economy. b) Find the solution output levels by Cramer's rule.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Problem 2) a) Write a function to factorize a matrix A into A=LU with Doolitle's method (not use the…

A: Given That : component Metal plastic Rubber 1 15 0.30 1 2 17 0.40 1.2 3 19 0.55 1.5…

Q: 5. Three elementary students bought school supplies, namely AA, BB and CC, each of which spent Rp.…

Q: 29. A matrix type where: A matrix with all elements BELOW the main diagonal are zero Identity matrix…

A: We have to find the correct option.

Q: for each of the nodes, there is an equation expressing the fact that the flow in equals the flow…

A: We are given the fact that the flow in equals the flow out

Q: Find the technology matrix associated with this economy b) The matrix(I-A)^-1 is given by (I-A)^-1 =…

Q: A company owns two movie theaters in town. The number of popcorns and drinks sold for each theater…

Q: In order to estimate the median amount of new credit card charges for the previous month, a…

A: Given : Credit card Charges($) 340.24 340.77 299.94 207.67 210.31 293.35 285.68 214.18…

Q: 4. Matrix models can be used to describe the flow of certain toxins, like lead, between compartments…

A: Let A=0.390.040.040.02 Now,…

Q: A primitive economy consists of a fishing industry and an oil industry. A unit of fahing industry…

A: please re-correct Solution of part (A) as follows :

Q: 9. Consider the matrix -1 3 A = -4 2 -2 6. (a) If A is the augmented matrix of a system of linear…

Q: The total population of a tropical island is 200 people. Each person either goes fishing or gathers…

A: The total population of a tropical island is 200 people. Each person either goes fishing or gathers…

Q: A simplified version of input-output analysis of a national economy has the following input-output…

Q: You are called on to decide how your company should produce its new cell phone screen defroster (for…

Q: X= Y= Z= 1 1 1 1 22 23 3 1 33 6 19 1 13 1 0 17 4 6 13 14 10 4 5 (a) Find the product matrix XY. XY =…

A: Given three matrices. X=111122233133Y=6191131017413146Z=1045 (a) Find the product matrix XY…

Q: A simplified version of input-output analysis of a national economy has the following input-output…

Q: This exercise requires the use of technology. Four sectors of the U.S. economy are (1) livestock…

A: Given the input-output table involving four sectors of U.S economy in the year of 1977. To determine…

Q: Does the matrix 1 −1 -2 1 0 -1 have an LU factorization? If so, compute it. If not, explain why not.…

A: We have given a matrix, B=21-1-4-2130-1. A square matrix is said to have an LU factorization if it…

Q: Suppose the economy of an underdeveloped country has an agricultural industry and an oil industry,…

Q: 100 1 ::] Copyright Texas State University, 010 0 001 130 001-2 | Udit 0000 123:21] righn 0 b 0…

Q: Let A be the technology matrix A = (a) 0.3 0.03 0.7 0.01 units of wood are needed to produce one…

Q: 9. Suppose that three industries are interrelated so that their outputs are used as inputs by…

A: We can solve this by using AP= P

Q: 4. The total population of a tropical island is 200 people. Every day each person either goes…

A: The total population of a tropical island is 200 people. Each person either goes fishing or gathers…

Q: In order to estimate the median amount of new credit card charges for the previous month, a…

A: (a) The claim is median greater than $250. The hypothesis is, H0 is median less than or equal to…

Q: c) Assume that the Malaysian economy consists of two industries: mining and electricity. Each unit…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts…

Q: Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The…

A: To solve the problem, we need to determine the inverse of the matrix (I - M) and use it to find the…

Q: Agriculture Manufacturing Households Agriculture 0.245 0.102 0.051 Manufacturing 0.099 0.291 0.279…

Q: 6. Evaluate (in an effortless manner) the capacities of the channels whose matrices are given below.…

Q: Consider the following technology matrix for an economy consisting of 3 sectors: (1) finance,…

A: This is an input-output model problem in matrices. which relates the output of each sector to the…

Q: Four sectors of the U.S. economy are (1) livestock and livestock products, (2) other agricultural…

A: Given the input-output table involving four sectors of U.S economy in the year of 1977. To determine…

Q: 3. Let a linear equation system Ax = b with its coefficient matrix: 1 2 1 1 1 2 A = 2 1 3 b= 2 3 (a)…

A: Given A=121211132 and b=123 Express A as the product of a lower triangular matrix L and an…

Q: (a) If A is a 5 x 4 matrix, then the linear system Ar = b repre= 4 unknowns. (b) If the reduced…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A fruit grower raises two crops, apples and peaches. The grower ships each of these crops to three…

Q: A drug production company has three branches A, B, and C, each of which produces two types of…

A: a) Choose the rows to represent the branches and columns to represent the types of boxes.

Question

In a two-industry economy. it is know that industry I uses 10 cents of its oWn product
and 60 cents of commodity II to produce a dollar's worth of commodity I: industry II uses
none of its own product but uses 50 cents of commodity I in producing a dollar's worth of
commodity II: and the open sector demands RM1000 billion of commodity I and RM2000
billion of commodity II.
a) Write out the input matrix. the Leontief matnx. and the specitic input-outpuf matrix
equation for this economy.
b) Find the solution output levels by Cramer's nile.
2.
Delete, in
rotate pa

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

Check whether the data in this problem satisfy the Hawkins–Simon
condition.

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

Create a matrix that has a11 = a22 = a33 = 1 but elimination produces two negative pivots without row exchanges. (The first pivot is 1.)
2. For each part, write a matrix in reduced row echelon with the given properties. Your answers must have at least 2 rows and at least 2 columns. If such a matrix is not possible, state why. (a) Is always solvable and 2 dependent variables. (b) Has a unique solution and columns are spanning. (c) Columns are dependent and the transformation is one-to-one. (d) Has more rows than columns and the transformation is onto.
3. Let A= 5-1 Compute 31,-A and (31,)A 22 31,-A= (Type an integer or decimal for each matrix element.) (31,)AD (Type an integer or decimal for each matrix element.)
Consider the following representation of the Ricardian Model. Two countries, India and Vietnam, produce two products - tea and garments. Total labour supply in India is 48 and the total labour supply in Vietnam is 60. The table provides the unit-labour requirements () to produce tea and garments in each country. India Vietnam Tea 120 32 Garments 48 16 Consider a monopolistically competitive industry where firms differ in productivity levels. When the industry opens to international trade, transportation and other transaction costs may determine which firms will remain exclusively in the local market and which firms will become exporters. a) True or False? b) Explain with the support of a graph.
9. There are three ways to travel from City A to City B: Car, Train and Plane. And the travel fee between Adult and Child differs from each other. Below are two tables summarizing the total cost of the trip between afternoon and evening: Adult Car Train Plane Afternoon 250 200 235 Dollars Evening 300 180 200 Dollars Child Car Train Plane Afternoon 170 150 180 Dollars Evening 200 126 160 Dollars a)Write two matrixes to represent the cost of afternoon and the cost of evening. Then, use these matrixes to find the average cost for each kind of car in the 2 periods of time
5. Choose the following statements are True (T) or False (F): (a). det(A + B) = det (A) + det (B) (b). A system of linear equations is consistent if it has at least one solution (c). The transpose of a upper triangular matrix is a lower triangular matrix (T) or (F) (T) or (F). (T) or (F).
8. In the closed model of Leontief with food, clothing, and housing as the basic industries, suppose that the input-output matrix is A= At what ratio must the farmer, tailor, and carpenter produce in order for equilib- rium to be attained?
A company manufactures four types of products. The fixed and variable costs are given below: The likely demands of the products are given below: If the selling price of each type of product is $30 them prepare the pay off matrix Fixed Cost Variable Cost/Unit (**) 20,000 22,000 28,000 35,000 Product A 15 В 12 C D 6. Nature of Demand Number of Units Рoor 2,000 8,000 15,000 Moderate High N 00
3. Determine the rank and nullity of the matrix 2 -1 1 -1 A = -1 -1 1 4 1 -3 -3,
Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are shown below. A E A 0.5 0.2 5 M = D= E 0.5 0.3 2 and the output for each sector, X, that is needed to satisfy the Find (IM) final demand, D. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (I-M)-1 = (Simplify your answer.) B. The matrix (I - M) is singular.
2. Suppose that the rref of an augmented matrix of a linear system results as 1 0 1 13 0 1 0 21 000 00 (a) What are the leading variables? (b) What are the free variables? (c) What is the corresponding system of equations in terms of the free variables. (d) Write the solutions in vector form.
1) List all of the pivot variables in matrix A 2) List all of the free variables in matrix A