0'15\"\" 3 A manufacturer ofash drives has a prot function 7r : t 7 8(12 where t is the price charged for a flash drive and Q2 is the cost of producing a drive whose capacity is 4; gigabytes. A consumer of type 0 Not yet has a utility function u : q t, where Htakes on a value of 13 forH-type consumers, or 10 for L-type consumers. answered There are 10 consumers of each type. A consumer gets zero utility if she does not buy. If a consumer is indifferent between buying two flash drives, assume she will buy the one with more capacity. If a Marked om 0' consumer is indifferent between buying a flash drive and not buying, assume she will buy. 6.09 '7 Flag Answer the following. If rounding is needed. round to 3 decimal points. quemon a) Suppose ('ij fL) is the optimal [profit maximising) capacity-price bundle for L-type consumer under complete information. What is the value of ifL? E b) Suppose (rig, 3) is the optimal (profit maximising) capacityeprice bundle for Hetype consumer under complete information. What is the value of 3? E c) What is the seller's overall profit under complete information? E For part d) - i), assume information is asymmetric. d) Suppose that the seller continues to offer the capacity-price bundles that maximises his profit under complete information: that is, he offers (6L, {1,} and ('iHr EH). What is the utility for the type 9;, consumer from buying the (rig, EH) bundle? That is, what is \"@3313? e) What is the utility forthe type 93 consumer from buying the [rim 1.) bundle? That is, what is uH (4L: ti)? f) What are the seller's profits if he offers the bundles (er131,) and (rig, 3) when information is asymmetric? Now suppose the seller decides to offer a menu of capacityeprice bundles (9L, u) and My, 3) to incentives the two types of consumers to sort themselves out. Answer part 9) to i) in this context. g) ForHetype consumer, what is the optimal (profit maximising) level of (13? h) Suppose (qi, ti) is the optimal (profit maximising) capacityeprice bundle for Letype consumer under asymmetric information. What is the value of ti? i) What is the seller's overall profit under asymmetric information if the seller offers a menu of profit maXimizing capacityeprice bundles ((11,, tL) and (:13, g) to consumers