Q=30K107L21
obtain the partial derivative of Q wrt to K and L to find Marginal product of labour and marginal product of Capital (K)
dKdQ=30•107•K10−3L21
= 21K10−3L21
dLdQ=30•21•K107L2−1
=15K107L2−1
C=MpL×w+MpK×r
C=15K107L2−1×30+ 21K10−3L21×20
Therefore the Expansion Path (C)
C=450K107L2−1+ 420K10−3L21
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