The market equilibrium point for a product occurs when 13500 units are produced at a price of $45 per unit. The producer will supply no units at $10 and the consumers will demand no units at $200. Find the supply and demand equations if they are both linear.

2 answers

demand
d = k p + b
13500 = k (45) + b
0 = k (200) + b
b = -200 k
13500 = 45 k - 200 k = - 155
k = - 87.1
so the demand function is
d = -87.1 p +17400
now you do the supply function
s = j p + c
0 = 10 j + c
so c = -10 j
13500 = 45 j - 10 j = 35 j
etc, all yours
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