4. A firm uses two inputs and 2 to produce output y. The production function is...

 

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4. A firm uses two inputs and 2 to produce output y. The production function is given by f(x1, 72)=min (2x1, 22). The price of input 1 is 1 and the price of input 2 is 2. The price of output is 10. (a) Calculate Marginal Products for each input. Are they increasing or decreasing? (b) Calculate Marginal Rate of Technical Substitution. Is it increasing or diminishing? (c) Draw two or more isoquants (Your drawing may not be exact, but it needs to display the key features of technology such as convexity/concavity accurately). (d) Does this production function exhibit increasing, decreasing or constant returns to scale? (e) Solve the firm's cost minimization problem. Derive the firm's cost function c(y). (f) Find the profit maximizing choice of inputs i and x and output y*. Calculate the firm's profit from these choices. 4. A firm uses two inputs and 2 to produce output y. The production function is given by f(x1, 72)=min (2x1, 22). The price of input 1 is 1 and the price of input 2 is 2. The price of output is 10. (a) Calculate Marginal Products for each input. Are they increasing or decreasing? (b) Calculate Marginal Rate of Technical Substitution. Is it increasing or diminishing? (c) Draw two or more isoquants (Your drawing may not be exact, but it needs to display the key features of technology such as convexity/concavity accurately). (d) Does this production function exhibit increasing, decreasing or constant returns to scale? (e) Solve the firm's cost minimization problem. Derive the firm's cost function c(y). (f) Find the profit maximizing choice of inputs i and x and output y*. Calculate the firm's profit from these choices.

Answer rating: 100% (QA)

a To calculate the marginal products for each input we need to find the partial derivatives of the production function with respect to each input The production function is given by fz z min2z 22z The ... View the full answer