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33. You are an engineer for General Motors. You have designed a car that has an expected life of 10 years and it will cost $35,000 to produce and sell this car. Assume that the net value of each year of car services is worth S6,000 to the consumers If the interest rate is 6%, what is the expected price at which this car will sell? a. b. What is the expected profit per car for GM? Suppose you could add extra years of life to this car but it would add another $3,000 to the production cost for each added year. At 6% interest, how long should GM design the car to last? c. d. There have long been claims of planned obsolescence among automobile manufacturers. These companies allegedly plan to make their new cars obsolete after a few years so that American consumers will go out and buy more new cars. How would a decrease in the interest rate affect the planned durability designed into new cars? e.More generally, how would a decrease in the interest rate affect the planned durability of any asset