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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Complete the following activity to find MPC, MPS, APC and APS, if the expenditure Ec of a person with income I is given as: Ec = (0.0003)I2 + (0.075)I2 when I = 1000 - Mathematics and Statistics

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प्रश्न

Complete the following activity to find MPC, MPS, APC and APS, if the expenditure Ec of a person with income I is given as:

Ec = (0.0003)I2 + (0.075)I2

when I = 1000

बेरीज

उत्तर

Given, EC = (0.0003)I2 + (0.075)I2

We have APC = `E_C/I`

= (0.0003). I + 0.075

At I = 1000, 

APC = (0.0003) × 1000 + 0.075

= 0.3 + 0.075

∴ APC = 0.375

Now, MPC = `(d(E_C))/(dI)`

= 2 × (0.0003).1 + 0.075

= (0.0006) × I + 0.075

When I = 1000

MPC = 0.6 + 0.075

= 0.675

At I = 1000, MPS = 1 – MPC

= 1 – 0.675

= 0.325

At I = 1000,

APS = 1 – APC = 1 – 0375

= 0.625

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Application of Derivatives to Economics
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2021-2022 (March) Set 1

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