all parts please

2. (20 points) [VC] Suppose there is a consumer with the following utility: 11(qu 1is) = 4111010 + 4111070 where qg is the quantity of video games consumed and qc is the quantity of coffee consumed. (a) (5 points) [VC] What is the consumer going to do here? Determine the demand for qt, and 11,; as a function of the price of video games P1,, given income = $2, 500 and PC = $2 (i.e. solve for q; and (13). (b) (2 points) [VC] Suppose there are 100 people in the market, all with the same demand curve for video games. What is the market (aggregate) demand curve (i.e. Q3)? (c) (2 points) [VC] What is the own price elasticity of video games at PD = $160 (reminder: use point elasticity)? What does this tell you about the revenue curve? ((1) (2 points) [VC] Suppose the market for video games is perfectly competitive with 200 identical firms making video games. Find the market supply curve (i.e. (2%) when costs are: 2 com = '72\" (e) (2 points) [VC] What is the equilibrium outcome in this market? (f) (2 points) [VC] Suppose the government starts allowing foreign trade and the price in the world market is P3" = $15. What happens to producer surplus (hint: calculate the chance in producer surplus)? (g) (5 points) [VC] Suppose the government believes that rms making video games are charging the incorrect price for video games and mandates a price of $100 per video game. Answer each of the following questions (note: numbers may have a decimal): i How many video games does each consumer want? ii How many does each consumer consume? iii How many video games does each producer want to sell? iv How many does each producer sell? 0 What is the name associated with the outcome in this market due to government intervention