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QUANTITATIVE ECONOMICS

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SUBSIDIES<br />

Plot demand and supply curves for a product from linear functions and then illustrate<br />

and then illustrate the effects of the provision of a subsidy on the market (on price,<br />

quantity, consumer expenditure, producer revenue, government expenditure,<br />

consumer surplus and producer surplus).<br />

Step 1<br />

Use the linear functions given to draw the relevant demand and supply curves and to identify<br />

the equilibrium price and quantity. (See pages 3 & 5, if you cannot remember how to do<br />

this.)<br />

E.g.<br />

If the demand and supply functions for a product are Q D = 2000 – 200P and<br />

Q S = -400 + 400P.<br />

Step 2<br />

Change the supply function by adding the amount of the subsidy to P, simplify the equation,<br />

and then draw the new supply curve.<br />

E.g.<br />

If the government grants a subsidy of $0.75 per unit, then the supply function is<br />

changed, because the producers receive the subsidy and so the price they<br />

receive rises by $0.75. Thus, the price in the equation is (P + 0.75) at each level.<br />

If we put this in the equation, we get Q S = - 400 + 400(P + 0.75).<br />

Then, we can simplify the supply function and draw the new supply curve.<br />

Q S = - 400 + 400(P + 0.75)<br />

Produced by Ian Dorton & Jocelyn Blink Page 22

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