3. The price-demand equation for a brand of HDTVs is given by p = 400 0.04.r , where p is the price in dollars and x is the number of TVs produced. The production costs are as follows: xed costs of$160,000 and variable costs of $25 per TV a} Write the cost, revenue, and prot functions and determine their domain using the price-demand equation. b) Find the marginal prot function and determine the marginal prots at production levels of 2,000 and 3,000. Interpret your result (write your answer in complete sentence and be specic about quantities and units). c) Find the break-even point(s) d) Determine the production level that will yield maximum prot and nd the maximum prot. e} What should be the price of each TV if the company wants to realize maximum prot