Suppose that market demand for a good is given by Q = 9 - 0.3 P while market supply is given by Q = 4 + 0.3 P where Q is the quantity of the good in units, and P is the price of the good in $ per unit. Calculate the consumer surplus in this market if the market is perfectly competitive (Don't use the $ sign in your answer and round it to two decimal points)
Answer
The market is in equilibrium at Qd=Qs
9-0.3P=4+0.3P
0.6P=5
P=8.33
Q=9-0.3*8.33
Q=6.5
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inverting demand curve to inverse form to find Y-intercept of the demand curve
Q=9-0.3P
0.3P=9-Q
P=9/.3 -(1/0.3)*Q
P=30-(1/0.3)*Q
the Y-axis intercept is 30
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CS=0.5*(Y-intercept of the demand curve -P)*Q
=0.5*(30-8.33333)*6.5
=$70.4166775
the consumer surplus is 70.42
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Solution would suffice!
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