Barton decides to buy a full-sized grand piano. The newpayoff matrix is as follows:a. If Statler has the legal right to peace and quiet and Barton and Statler can negotiateat no cost will Barton install and maintain soundproofing? Explain.Is this outcome socially efficient?b. Suppose that Barton has the legal right to make as much noise as he likesand that negotiating an agreement with Barton costs $15 per month. WillBarton install and maintain soundproofing? Explain. Is this outcome sociallyefficient?c. Suppose Statler has the legal right to peace and quiet and it costs $15 permonth for Statler and Barton to negotiate any agreement. (Compensationfor noise damage can be paid without incurring negotiation cost.) Will Bartoninstall and maintain soundproofing? Is this outcome socially efficient?d. Why does the attainment of a socially efficient outcome now depend onwhether Barton has the legal right to make noise?