a. Given the internal consumption matrix A, and the external demand matrix D as follows.0.1 0.2 0.2200D =A = |0.10.3 0.1100[0.10.2 0.3150Solve the system using the open model: X = AX + D or X = (I – A)-'D.b. An economy has two industries, namely, farming and building. For every Php50 of food pro-duced, the farmer uses Php10 and the builder uses Php7.50. For every Php50 worth of build-ing, the builder uses Php12.50 and the farmer uses Php10. If the external demand for foodis Php5M, and for building Php10M, what should be the total production for each industry inpesos?

Answered: Image /qna-images/answer/295289d2-8584-4e68-bf4e-dd6259c73851.jpg

a. Given the internal consumption matrix A, and the external demand matrix D as follows 0.1 0.2 0.2 A = 0.1 0.3 0.1, D= | 100 200 0.1 0.2 0.3 150 Solve the system using the open model: X = AX + D or X = (I – A)-'D.

a. Given the internal consumption matrix A, and the external demand matrix D as follows 0.1 0.2 0.2 A = 0.1 0.3 0.1, D= | 100 200 0.1 0.2 0.3 150 Solve the system using the open model: X = AX + D or X = (I – A)-'D.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Plants depend on microbial partners (bacteria and fungi) within soil to provide them with nitrogen…

A: In the compartment diagram, the addition of an amount in the compartment diagram is represented by…

Q: A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

Q: The supply function for a product is 2p-q-10=0, while the demand function for the same product is…

Q: Consider a problem of two connected tanks T1 and T2 containing 300 gallons of water each. Initially,…

Q: The snowboard industry has the following labour supply is ES = 150 + 10w and labour demand is ED =…

Q: 1 If two products A and B have demand functions that depend on each other, 9, = 100 - 5pa+ PAPB =…

Q: You are the Economic Consultant for Zuku Farms Ghana Limited. Zuku produces cowpea in a community…

Q: Model the situation with a dynamical system. Use your model to answer the question. 12) You take a…

Q: The equilibrium quantity of the given demand and supply functions is p = 5*D + 80 p = 1000)* + 80…

A: At equilibrium quantities and price for the demand curve and supply curve will be same. Thus solve…

Q: The demand function P= D(x)= -0.3x+ 33 and the total cost function C) =1.2x +9.2x+65 for a…

A: The demand function is given by D(x)=-0.3x+33 The total cost function is given by…

Q: For butter pecan ice cream, the supply function is given byp = S(q) = 0.4q and the demand function…

Q: Suppose we are able to model the total utility function for the consumption of two goods, good x and…

A: Given Utility Function : U(x, z) = 3x2 + z2 - 2xz Px = Py = $1 Total Income = $1000

Q: Dest. 3. Supply Sources! 6. 3. 10 7. 20 3. 10 11 15 30 Demand 15. 17 28 Find the initial solution…

Q: QUESTION 8 A manufacturing company produces two types of surfboards - Standard board and competition…

A: The given data is: The price demand function for the two types of boards is given by the equation,…

Q: Determine the total demand x for industries 1, 2 and 3, given the matrix of technical coeffieicnts A…

A: We have to determine the total demand x of the industries using the matrix of technical coefficients…

Question

a. Given the internal consumption matrix A, and the external demand matrix D as follows.
0.1 0.2 0.2
200
D =
A = |0.1
0.3 0.1
100
[0.1
0.2 0.3
150
Solve the system using the open model: X = AX + D or X = (I – A)-'D.
b. An economy has two industries, namely, farming and building. For every Php50 of food pro-
duced, the farmer uses Php10 and the builder uses Php7.50. For every Php50 worth of build-
ing, the builder uses Php12.50 and the farmer uses Php10. If the external demand for food
is Php5M, and for building Php10M, what should be the total production for each industry in
pesos?

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 with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A particular notebook computer has a price/demand function of p(n) = 1200 – 36n dollars, where n is the number in thousands of computers sold in the market. The manufacturer's fixed cost of operations is 4,400 dollars while the variable cost of production 140 per computer. In the previous notebook computer problem, what is the profitable range of production? O1. Between 5000 and 24444 computers O II. Between 5444 and 24000 computers II. Between 5454 and 24040 computers O V. Between 5000 and 25000 computers In the previous notebook computer problem, at what level of sales does maximum revenue occur? O1. 16667 computers O II. 16000 computers O II. 17000 computers O V. 16335 computers In the previous notebook computer problem, at what level of sales does maximum profit occur? O1. 15622 computers O II. 14000 computers O I. 16667 computers O V.14722 computers
a. find the equilibrium point (both the p and q) b. find new equilibrium point with a $0.40 tax imposed on the suplier (both p and q)
Find the point of equilibrium for the following supply and demand equations where ? is number of units and ? is the price per unit. Demand: ?=74−0.000030?=74−0.000030q Supply: ?=43+0.000280?=43+0.000280q Number of units for equilibrium = Price per unit at equilibrium =
Pls help with this homework, asking remaining part d & e again. I have already solved part a,b & c. Find the equilibrium price and quantity for each of the following pairs of demand and supply functions.
Consider a competitive market in which price adjusts to excess demand or supply and firms enter and exit the industry if profits or losses are being made. Price adjusts to excess demand according to dp 0.5(qº – q$) dt Where qº = 30 – 2p is the demand function, qº = 2N is the supply function, p is price, N is the number of firms in the industry and a is the speed of adjustment coefficient. The number of firms adjust according to dN 5 (p 10) dt Derive a system of differential equation to represent this information. Solve the system.
A manufacturer's total production of a new product is P(L, K) = 1800L2/3K1/3 where L is the number of units of labor and K is the number of units of capital. A unit of labor costs $200, a unit of capital $800, and the total budget for labor and capital is $960,000. (a) To maximize production, how much should be spent on labor? 2$ How much on capital? 24 (b) Find the value of the Lagrange multiplier. Give an interpretation of the Lagrange multiplier. O The Lagrange multiplier is the approximate increase in the optimal value of P resulting from an increase in labor, L, by one unit. O The Lagrange multiplier is the approximate increase in the total budget for labor and capital resulting from an increase in the optimal value of P by one unit. O The Lagrange multiplier is the approximate increase in the optimal value of P resulting from an increase in the total budget for labor and capital by one unit. O The Lagrange multiplier is the approximate increase in the optimal value of P resulting…
1.What formulas should be used in Excel?2. What is t? What is w?To use all three models: M1: d = 1.0356t + 339.29 M2: d= 7163t + 116.7679w + 315.0262 M3: (the one considering weekdays) to predict the demand for seven days ahead (Mon, Tue, …, Sun) and find the total weekly demand. M1 M2 M3 Mon. Tue. Wed. Thu. Fri. Sat. Sun. TOTAL: ****I added the part i already completed for context in the photos****
A firm has the following production function:q = ƒ (z1, z2) = z1αz2βb. Solve for the firm's conditional demand function (simplify)
Consider this following description of a closed economy: C = 150 +0.75 (Y-T) 1 = 90 - 30r M/P = Y - 100r G = 220 T = 80 M = 2700 P = 3 Solve for the equilibrium interest rate r*. a. -1 O b. 1 O c. 5 O d. -2.5
b. Q= 8, with demand function is Q = (60 – 2P)² 3. Given demand function is 4P + Q – 16 = 0 and total cost function is TC = 4 + 20 – 2+ 2 Find : 10 20 a. Total Revenue function b. Profit function c. MR and MC d. Q that will give maximum profit e. Find the maximum profit