Reference no: EM131224206
1. Given the condition of market equilibrium, the demand function, and the supply function as follows
Qd = Qs
Qd= 220 - 5P
Qs= -20 + 3P
a) Rewrite this set of equations into a matrix format.
b) Find the inverse of the coefficients matrix.
c) Use the Inverse method to find the values of all three variables at the equilibrium.
d) Use the Cramer's rule to find the values of all three variables at the equilibrium. Are they equal to what you found in c) ?
2. Let the national income model be:
Y = C + Io + G
C=a + b (Y - To) (a > 0, 0 < b < 1)
G = gY (0 < g <I)
Y is the National Income. C is Consumption. G is Government Expenditure. To is Net Taxes. Io is Investment. Investment and Net Taxes are exogenous variables. (as a guide you can look at Schaum's p. 247)
a) Rewrite this set of equations into a matrix format
b) Find the inverse of the coefficients matrix
c) What restriction on the parameters is needed for a solution to exist? In other words, what restriction is needed in order to make the coefficients matrix non-singular?
d) Use the Inverse method to find the equilibrium values of National Income(Y), Consumption (C) , and Government Expenditure (G).
e) Use the Cramer's rule to find the values of all three variables at the equilibrium. Are they equal to what you found in d)?
In principles of classroom management
: If one of the longterm goals of teaching is for students to gain control over their own behavior, what are some advantages and disadvantages of using each of the four teacher authority bases to help students achieve that goal?
|
Environmental advocacy group
: Mind your own business and just do your job. The company isn't breaking any laws, and if ChemTech's economic situation doesn't improve, a lot of people will be thrown out of work. Call the local environmental advocacy group and get it to stage a pr..
|
Vision and mission statement for your business important
: Based on the text why are having a Vision and Mission statement for your business important? Could the same reasoning apply for your personal life? Share and explain what makes a good mission statement.
|
Fastest growing cause for shareholders is sustainability
: Read the article The-Fastest-Growing-Cause-for-Shareholders-is-Sustainability. In your opinion, does it pay to be socially responsible? What are some of the advantages and disadvantages for a company that pursues a sustainability strategy? How could ..
|
Find the inverse of the coefficients matrix
: Find the inverse of the coefficients matrix. What restriction on the parameters is needed for a solution to exist? In other words, what restriction is needed in order to make the coefficients matrix non-singular?
|
Write down categories of groups of people
: Set a timer for 1 minute and write down categories of groups of people you know and interact with. (Some examples are friends, family, neighbors, co-workers, volunteer organizations, book clubs, and sports teams.)
|
Favoring national authority-liberals favoring states rights
: Traditionally, conservatives have favored states' rights and liberals have favored national authority. Can you think of modern-day issues in which these long-standing preferences might be reversed, with conservatives favoring national authority and l..
|
List three significant events that have happened
: This assignment should be helpful in generating and refining topics for your upcoming Narrative essay (look ahead to the Narrative Essay writing criteria). This practice also may be helpful in future writing projects.
|
Compute the cost per equivalent unit for each product
: Compute the cost per equivalent unit for each product cost category in Department Y for the month of February. Calculate the cost of goods transferred to the finished goods store at the end of February from Department Y
|