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(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.

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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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