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A producer of fixed proportion goods X and Y (Q = Qx = Qy) has marginal costs and revenues of MC = 10 Q, MRX = 150 - 6 QX, MRy = 30 - 4 Qy. The producer should produce how many units?
a. Qx =9, Qy=9
b. Qx = 9, Qy = 7.5
c. Qx = 10, Qy = 10
d. Qx = 9, Qy=0

Respuesta :

hyderali230

Answer:

a. Qx =9, Qy=9

Explanation:

As per the given data

Q = QX = QY

MRX = 150 - 6QX = 150 - 6Q

MRY = 30 - 4QY = 30 - 4Q

MC = 10Q

Now calculate the Marginal revenue as follow

MR = MRX + MRY

MR = 150 - 6Q + 30 - 4Q

MR = 150 + 30 - 6Q - 4Q

MR = 180 - 10Q

The Equilibrium of the producer will be

MR = MC

180 - 10Q = 10Q

180 = 10Q + 10Q

180 = 20Q

Q = 180 / 20

Q = 9

As we know

Q = Qx = QY

Hence, the value of Qx  and QY is 9

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