Hi, tutor

I'd like to ask the solution for this question, and could u please show me the diagram?

The industry for mopeds has a market demand curve given by the equation P = 50 - Q/10, where P is the market price, and Q is industry-wide output. Ten (10) perfectly competitive firms currently operate in the moped industry. Each of these firms has a total cost function given by TC = 25 + 20q + q2, where q is the output of the individual firm. Note, to get full marks for this question you must draw diagrams indicating the outcomes in the answers. (a) When would existing firms in the moped industry shut down in the short run? (2 marks) (b) Find the market equilibrium in the short run? In particular, you should identify the market price? How much do individual firms produce? Do firms earn economic profits? [Hint: you will first need to work out the industry supply curve. ] (2 marks) (c) What is the market price that would prevail in the long run and how many firms will operate in the long run? (2 marks) (d) Suppose that there is technological revolution in the production of mopeds so that the new total cost curve for moped producers becomes TC = 16 + 20q + q2? If the market for mopeds was initially in long run equilibrium, calculate and explain what happens in the short and long run now for both individual firms and in the market as a whole. (4 marks)