4. Consider the following Keynesian national-income model, Y=C+ Io + Go C=a+b(Y-To) where a and b are parameters with the following range; a>0 and 0

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Chapter16: Monetary Policy
Section16.A: Policy Disputes Using The Self Correcting Aggregate Demand And Supply Model
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Please answer question 4-a

(e) Suppose that Duane is faced with the same problem as in (e) except that he has a fixed amount
of K. In fact, K = 16. How much F should be bought to minimise costs? What is the total cost?
4. Consider the following Keynesian national-income model,
Y=C+ Io + Go
C = a + b(Y - To)
where a and b are parameters with the following range; a>0 and 0<b<1. Y represents national income,
C is consumption expenditure, Io is investment, Go is government spending, and To taxation.
(a) What are exogenously determined variables in this model.
(b) Show that this model can be expressed in the following matrix form:
(7) (x) = (1 + Go)
(c) Using matrix algebra, find the solution for Y and C.
(d) Suppose government spending increases by some amount AGo to become Go+AGo. Show the
change in Y and C as a response to this increase in spending.
Transcribed Image Text:(e) Suppose that Duane is faced with the same problem as in (e) except that he has a fixed amount of K. In fact, K = 16. How much F should be bought to minimise costs? What is the total cost? 4. Consider the following Keynesian national-income model, Y=C+ Io + Go C = a + b(Y - To) where a and b are parameters with the following range; a>0 and 0<b<1. Y represents national income, C is consumption expenditure, Io is investment, Go is government spending, and To taxation. (a) What are exogenously determined variables in this model. (b) Show that this model can be expressed in the following matrix form: (7) (x) = (1 + Go) (c) Using matrix algebra, find the solution for Y and C. (d) Suppose government spending increases by some amount AGo to become Go+AGo. Show the change in Y and C as a response to this increase in spending.
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