Question #196755

buyers in the chocolate market demand 200 units of chocolate when price is zero and decrease the purchase of chocolates by 2 units for every one unit increase in price. write down the equation of the demand function in the form of Q= f(P)


Expert's answer

In its standard form a linear demand equation is Q = a - bP. That is, quantity demanded is a function of price. 

P=0,Q=200....(Point1)P= 0 , Q = 200 .... ( Point 1)

P=1,Q=198......(point2)P= 1 , Q = 198 ......(point 2)

Q=a−bPQ = a - bP

When we put point 1 , we get 

a=200a = 200

When we put point 2 , we get 

198=200−b198 = 200 - b

b=2b = 2

Therefore the equation becomes, 

Q=200−2PQ = 200 - 2P


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