Question

Aggregate expenditure function of Berberistan is given as:   AE=500+0.5 Y What is the unplanned change in...

Aggregate expenditure function of Berberistan is given as:   AE=500+0.5 Y

What is the unplanned change in inventories if firms produce 1200 rather than the equilibrium income?

Homework Answers

Answer #1

At equilibrium,Y = AE

Y= 500 + 0.5Y

=> Y - 0.5Y = 500

=> 0.5Y = 500

=> Y = (500 / 0.5)

=> Y = 1000

Hence, the equilibrium income is 1000.

Unplanned inventory = Y - AE

=> Unplanned inventory = 1000 - 1000 = 0

At equilibrium point, unplanned inventory is zero.

-----------------------

AE = 500 + 0.5Y

Put Y = 1200

=> AE = 500 + 0.5(1200)

=> AE = 500 + 600

=> AE = 1100.

Unplanned inventory = Y - AE

=> Unplanned inventory = 1200 - 1100

=> Unplanned inventory = 100

Hence, the unplanned inventory will increase from 0 to 100 if firm produce 1200 rather than the equilibrim income.

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