Please help me answer this question in full

Consider a perfectly competitive industry where all firms have identical long run total cost curves of LTC = 10Q 50Q2 + 100Q3 and the demand curve is QD = 1000 0. 2P. 3. (6pt) Find the quantity a prot-maximizing firm produces and the price the rm sells at in the long run. b. (2pt) Find the quantity that will be supplied in the entire industry in the long run. c. (2pt) How many firms will operate in the industry in the long run? d. (4pt) Suppose that demand curve shifts to the left (that is, there is less demand for the good at every price). Explain whether and how the quantity produced by one rm. price of the good, total quantity supplied in the industry, and the number of rms in the industry will change. e. (2pt) Find the long-run industry supply curve