The following functions are estimated for an economy :

Consumption Function       :   C = 200 + 0.75Y_D

Investment Function          :    I   = 400 - 50i

Government Purchases     :   G  = 200

Taxes                                :     T = 0.2Y

Real demand for money   :     L = 0.5 - 75i

Nominal money supply     :     M_s = 900

(Here Y_D stands for disposable income ; Y for income , and 'i' represents interest rate in percentage points. All other figures are in USD billions)

Now; 

Suppose the government purchases are increased from 200 to 300. Estimate the change in income. Has there been any crowding out of private investment ? Represent the information graphically (graph need not be to scale )  (8 marks) (75 words)