(Advanced analysis) Answer the question on the basis of the following information. The demand for commodity X is represented by the equation P = 10 - 0.2Q and supply by the equation P = 2 + 0.2Q.Refer to the above information. If demand changed from P = 10 - .2Q to P = 7 - .3Q, the new equilibrium quantity is:Multiple Choice10.20.15.30.
Question
(Advanced analysis) Answer the question on the basis of the following information. The demand for commodity X is represented by the equation P = 10 - 0.2Q and supply by the equation P = 2 + 0.2Q.Refer to the above information. If demand changed from P = 10 - .2Q to P = 7 - .3Q, the new equilibrium quantity is:Multiple Choice10.20.15.30.
Solution
To find the new equilibrium quantity, we need to set the new demand equation equal to the supply equation and solve for Q.
The new demand equation is P = 7 - 0.3Q and the supply equation is P = 2 + 0.2Q.
Setting these two equations equal to each other gives us:
7 - 0.3Q = 2 + 0.2Q
Solving for Q, we get:
0.5Q = 5
Q = 5 / 0.5
Q = 10
So, the new equilibrium quantity is 10.
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