Question

In: Economics

Consider a firm which produces according to the following production function by using labor and capital:...

Consider a firm which produces according to the following production function by using labor and capital:

f(l,k) = k1/4 / 1/2

(a) Solve the cost minimization problem of this firm for the given wage rate, w and the rental rate of capital,v.

(b) Derive the cost function of the firm.

(c) Solve the profit maximization of the firm for a given price p, and derive the supply function.

(d) Derive the profit function of the firm.

(e) Suppose demand for this good is given by the following relation: p = 272−2q

Now, solve for the market equilibrium price level (where demand equals supply) if w = 1 and v = 2. (f) Decide whether the production function exhibits constant, increasing or decreasing returns to scale.

Solutions

Expert Solution

Its rule to solve at least first four parts


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