A manufacturer of ash drives has a prot function 71' = t 10:}2 where t is the price charged for a ash drive and Q2 is the cost of producing a drive whose capacity is (1 gigabytes. A consumer of type 9 has a utility function u : 6g 7 t, where Stakes on a value of 1 5 for Hetype consumers, or 1 0 for Letype consumers There are 10 consumers of each type. A consumer gets zero utility if she does not buy. Answer the following. If rounding is needed, round to 3 decimal points. a) (0.25 point) Suppose ((31,, tL) is the optimal (profit maximising) capacity-price bundle for Ltype consumer under complete information. What is the value of $1,? E b) (0.25 point) Suppose [6H, 3) is the optimal (prot maximising) capacity-price bundle for Htype consumer under complete information. What is the value of {3? E c) (0.5 points) What is the seller's overall prot under complete information? E For part d) - i), assume information is asymmetric. d) (0.5 point) Suppose that the seller continues to offer the capacityrprice bundles that maximises his profit under complete information: that is, he offers (q), ti) and (rig, {11). What is the utility for the type 91-, consumer from buying the (ch, f3) bundle? That is, what is HL(H, 3)? E e) (1 points) What is the utility for the type QH consumer from buying the (ch, ti) bundle? That is, what is UH(Q?L, {L}? E f) (1 point) What are the seller's profits if he offers the bundles (ajL, L) and (g3, 117) when information is asymmetric? E Now suppose the seller decides to offer a menu of capacityprice bundles (qL, Q] and Mg, t3) to incentives the two types of consumers to sort themselves out. Answer part g) to i) in this context. g) (1 point) For Htype consumer, what is the optimal (profit maximising) level of QR? S h) (1 point) Suppose ME, ti) is the optimal (prot maximising) capacity-price bundle for L-type consumer under asymmetric information. What is the value of if? D i) (0.5 points) What is the seller's overall prot under asymmetric information ifthe seller offers a menu of profit maximizing capacity-price bundles ((11,, Q) and [(13, :3) to consumers? E O