ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- Assume there is a linear isoquant where the input combination K = 10, L = 0 produces Q = 100. Assume that this isoquant has a MRTS (marginal rate of technical substitution) such that an increase in L by 1 unit requires the firm to give up – ½ unit of K. Assume PL = $1 and PK = $1. What is the smallest total cost necessary to produce Q = 100?arrow_forwardA firm produces plastic bins using labor (measured in man-hours) and capital (measured in machine-hours), according to the production function Q = f(L,K) = LK, where Q is the number of plastic bins produced. Suppose that the cost of labor is $20 per worker-hour and the cost of capital is $10 per machine-hour. What is the cost minimizing input combination if the firm wants to produce 28,800 plastic bins? Hint: The marginal products are MP, = K and MPg = L.arrow_forwardAssume there is a linear isoquant where the input combination K = 10, L = 0 produces Q = 100. Assume that this isoquant has a MRTS (marginal rate of technical substitution) such that an increase in L by 1 unit requires the firm to give up – ½ unit of K. Assume PL= $1 and PK = $1.What is the smallest total cost necessary to produce Q = 100?arrow_forward
- No hand written solution and no imagearrow_forwardFirm "Happy Capitalist" has following production function: f(K, L) = 2*k0.2L0.8. Furthermore, it is known that cost of capital (r) is equal to 2 and cost of labour (w) is 4. Having said that, capitalist wishes to maintain an output of 250 at lowest possible cost. We ask: a) Solve cost minimisation. Also, is it a corner solution or an interior solution; b) Graph previous result: isoquant and isocost of production; c) Determine average productivity of each factor; d) Is it a function with returns to scale of what type, increasing, decreasing or constant? e) Calculate elasticity of input-outputarrow_forward
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