A manufacturer of flash drives has a profit function it = i 242 where t is the price charged for a flash drive and 9'2 is the cost of producing a drive whose capacity is .9 gigabytes. A consumer of type 9 has a utility function u = Sq I, where 6' takes on a value of 14 for H -type consumers, or 9 for L-type consumers. There are 10 consumers of each type. A consumer gets zero utility if she does not buy. Answer the following. If rounding is neededI round to 3 decimal points. a} [0.25 point) Suppose ('L, ) is the optimal {profit maximising} capacity-price bundle for L-type consumer under complete information. What is the value of 1%? E b] {0.25 point) Suppose (6H, {H} is the optimal {prot maximising) capacity-price bundle for H -type consumer under complete information. What is the value of 3? E c} {0.5 points} What is the seller's overall profit under complete information? E For part d} - i]I assume information is asymmetric. d] {0.5 point] Suppose that the seller continues to offer the capacity-price bundles that maximises his profit under complete information: that isI he offers (43;, IL} and {g! 1H J. What is the utility for the type 9;; consumer from buying the (63,13) bundle? That isI what is uLH, I'H }? E e) {1 points] What is the utility for the type 9H consumer from buying the (fir.- ] bundle? That is, what is \"HQ\" :1)? E f) (1 point} What are the seller's profits if he offers the bundles (.91, 1.) and (53,;31 when information is asymmetric? C Now suppose the seller decides to offer a menu of capacity-price bundles (19;, 11.) and (q, tH} to incentives the two types of consumers to sort themselves out. Answer part 9) to i) in this context. 9] [1 point} For H -type consumer, what is the optimal [profit maximising} level of 43? E h] {1 point] Suppose {f1}; 11) is the optimal [prot maximising] capacity-price bundle for L-type consumer under asymmetric information. What is the value of :1? E i] [0.5 points] What is the seller's overall profit under asymmetric information if the seller offers a menu of profit maximizing capacity-price bundles (4L, 1;] and {gm IE) to consumers? E