Question

1. A firm has the production function y-Z1Z2 and faces input prices W1 6 and w2- a) What is the equation of the OEP? b) Is this production function homothetic?

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Answer #1

A)

Each point on the expansion path is a point of tangency between an isoquant and an iso-cost line. Therefore, at each point on the expansion path, we have the numerical slope of the isoquant = numerical slope of the isocost line.

Therefore, Pi P2 MRTS

乙/Z. Herc HRTS = ZLT.tz..20 宁agar う乙. 42-

B)

Yes, this function is homothetic. The basic feature of a homothetic function is that the expansion path of these functions are linear and we can see in in the pic ( attached) the expansion path is linear in z1 and z2.

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