Can you find me the correct solution for this problem please?

5. A firm has a cost function, C(x): x2 X 100 +400 where x is the monthly output in thousands of units. Its revenue function, R(x) is given by (4400 - 6x)x/2. (a) If a firm decides to produce 10,000 units per month, find the firm's cost and marginal cost. (2 marks) (b) If the firm decides to produce with a marginal cost of 520, find the level of output per month and the cost to the firm. (2 marks) (c) Find the firm's marginal revenue function. (2 marks) (d) If a decision is taken to produce 10,000 units each month, find the total revenue and the marginal revenue for the firm. (2 marks) (e) If the firm produces with a marginal revenue of 2,080, find the firm's monthly output and monthly revenue. (2 marks)