d. Now suppose Co'eeHut sells both bitter coffee and sweet coffee, and is trying to maximize prot. What prices will CoffeeHut charge for each type of coffee? Will each type of customers choose the type of coffee they prefer? What is CoffeeHut's prot? Is total surplus maximized? e. Compare the 3 pricing strategies in parts b), c) and d). Which choice will CoffeeHut adopt? In fact, CoffeeHut sells only bitter coffee, but provides ee milk and sugar at the counter. Which pricing strategy do you think this belongs to (or none)? Explain. f. Suppose the number of bitter coffee lovers increases to 200, and other things are unchanged. Does your answer to part e) change? Explain. g. Suppose the willingness to pay for bitter coffee of bitter co'ee lovers becomes $70 per cup, and other things are unchanged (the number of bitter coffee lovers is 100). What is the pricing strategy of CoffeeHut to maximize prot? Now suppose bitter coffee lovers have the following option: buy a cup of sweet coffee, and can ask the co'ee maker not to directly add milk and sugar. h. Following part g). If CoffeeHut still chooses to sell both bitter coffee and sweet coffee, what price can it charge for bitter coffee and sweet coffee? What is CoffeeHut's prot? i. Following part g). If CoffeeHut chooses to sell only one type of coffee, what is CoffeeHut's prot-maximizing pricing strategy? What is Co'eeHut's prot? How does this strategy compare with the strategy in h)