Martin decides to open a new factory, his production function for the new factory is q = kl.
a) Find his short-run cost function for a fixed level of capital, .
b) Suppose that w = 10, R = 20 and capital is fixed to 5 units in the short run (k ), find the short-run marginal cost function and short-run average cost function.
c) Identify the variable cost and the fixed cost of the short-run cost function.
d) Find the point where short-run marginal cost equals short-run average variable cost.
e) Plot the SMC and the SAVC