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Given Q=4x 1/2 +2y 1/2 . P, Wx, and Wy are prices for output, input x, and input y respectively. MPx=2 x -1/2 and MPy=

  1. Given Q=4x1/2+2y1/2. P, Wx, and Wy are prices for output, input x, and input y respectively. MPx=2 x-1/2and MPy= y-1/2.

a) Show that the technology exhibits decreasing return to scale.

b)Derive the short run cost function.

c)Find the long run demand function of x and supply function of Q.

d)Derive the long run total cost function.

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