Suppose you are the CEO of a famous electric car company. Your marginal cost of production is $20 thousand per vehicle. Currently1 you are selling 1 million cars per year at $130 thousand per vehicle. Your market research team tells you that there is another segment of 4 million consumers who have a willingness- to-pay equal to $40 thousand for exactly the same vehicle with one exception: it is 'damaged' with a small software update that restricts it from using its full battery range. This segment would be willing to buy the standard model for $50 thousand. The segment of consumers who are currently buying the car value the standard model at $130 thousand per vehicle, and the damaged model at $50 thousand per vehicle. To summarize: Consumer type Current segment New segment h. Assume instead that the car company cannot observe a consumer's willingness to pay. (a) [4 points} Suppose that the car company can only charge a uniform price of $130 thousand for standard vehicles and damaged vehicles. What is the car company's prot? (h) {4 points} Suppose that the car company charges a price of $13!] thousand for the standard model and $413 thousand for the damaged model.l What is the car company's prot? (c) [4 points} Suppose that the car company charges a price of $10!] thousand for the standard model and $313 thousand for the damaged model. What is the car company's prot? (d) [4 points) Briey explain [in one or two sentences) why the prot in (c) is higher than the prot in {h}. (e) [5 points) Suggest prices for the stande model and the damaged model that result in a prot higher than (c). 1These prices are equal to the willingness to pay of each segment the particular car is targeted to Le. the standard car is targeted to the current segment and the damaged car is targeted to the new segment