Account
It's free!

User



Login
Register


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution - The expenditure Ec of a person with income I is given by Ec = (0.000035) I^2 + (0.045) I. Find marginal propensity to consume (MPC) and marginal propensity to save (MPS) when I = 5000. Also find A (average) PC and A (average) PS. - Maxima and Minima

Question

The expenditure Ec of a person with income I is given by Ec = (0.000035) I2 + (0.045) I. Find marginal propensity to consume (MPC) and marginal propensity to save (MPS) when I = 5000. Also find A (average) PC and A (average)

PS.

Solution

`E_c=(0.000035)I^2+(0.045)I`

`MP_c=(dE_c)/(dI)`

`=d/(dI)[(0.000035)I^2+(0.045)I]`

`=(0.000035)(2I)+(0.045)`

`=(0.00007)I+0.045`

`(MPC)_(I=5000)=(0.00007)(5000)+0.045`

`=0.395`

We know

`MPS=1-MPC`

`(MPS)_(I=5000)=1-(MPC)_(I=5000)`

`=1-0.395`

`=0.605`

`Now " "APC=E_c/I=((0.000035)^2+(0.045)I)/I`

`=(0.000035)I+(0.045)`

`(APC)_(I=5000)=(0.000035)(5000)+(0.045)`

`=0.175+0.045`

`=0.22`

We have

`(APS)=1-APC`

`(APS)_(I=5000)=1-(APC)_(I=5000)`

`=1-0.22`

`=0.78`

 

Is there an error in this question or solution?

APPEARS IN

2014-2015 (March)
Question 2.2.3 | 4 marks
Solution for question: The expenditure Ec of a person with income I is given by Ec = (0.000035) I^2 + (0.045) I. Find marginal propensity to consume (MPC) and marginal propensity to save (MPS) when I = 5000. Also find A (average) PC and A (average) PS. concept: Maxima and Minima. For the courses HSC Commerce, HSC Commerce (Marketing and Salesmanship)
S