2) in the numerical example mentioned onn the slides on two part pricing with heterogeneouscustomers (see the ‘challenge’ in the second remark of one of the slides on two-part pricing), assumethata1= 4,a2= 6,c= 0,n1= 1,000 andn2= 500. solve for the optimal (t, p). (hint: thederivative of (n1+n2)×t(p) + (p−c)×(n1×(a1−p) +n2×(a2−p)) with respect top, wheret(p) = (a1−p)2/2, is given by−(n1+n2)×(a1−p) +n1×(a1−p) +n2×(a2−p)−(p−c)×(n1+n2). my suggestion is to first solve the example suggested on the slides as practice, and then do this problem.)3) consider a firm that sells to two groups of customers with demandsp1= 100−q1andp2= 50−q2. the firm’s marginal cost ismc(q) = 0.5q, whereq=q1+q2. find the optimalgroup pricing strategy. obtain the price elasticities of the two groups at the profit maximizingprice-quantity combinations. (hint: you need to solve two equations in two unknowns.)