What is firms marginal cost function

Question

Problem

1. If a firm faces the total cost function TC = (6 + x)^0.5, what is its marginal cost function?

2. A firm operates with the production function q = 0.4K^0.5L^0.5 and sells its output in a market where it is a monopoly with the demand schedule p = 60 - 2q. If K is fixed at 25 units and the wage rate is £7 per unit of L, derive the MRP_Lfunction and work out how much L the firm should employ to maximize profit.

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.