Question: Using the Lagrangian multiplier method, what is the cost minimizing quantity of capital K*, and labour L* given Q = Q* ? (10 marks)

Using the Lagrangian multiplier method, what is the cost minimizing quantity of

Using the Lagrangian multiplier method, what is the cost minimizing quantity of capital K*, and labour L* given Q = Q* ? (10 marks) Assume that a = b = 1, w = 2, r = 8, and Q* = 100. Using the Lagrangian multiplier, estimate the increase in cost (in terms of percentage) when production rises from 100 to 102 widgets.

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