Solve and include LINGO input and output

Dorian Auto manufactures luxury cars and trucks. The company believes that its most likely customers are high-income women and men. To reach these groups, Dorian Auto has embarked on an ambitious TV advertising campaign and has decided to purchase 1-minute commercial spots on two types of programs: comedy shows and football games. Each comedy commercial is seen by 7 million high-income women and 2 million high income men. Each football commercial is seen by 2 million high-income women and 12 million high-income men. A 1minute comedy ad costs $50,000, and a 1-minute football ad costs $100,000. Dorian would like the commercials to be seen by at least 28 million high-income women and 24 million high income men. Dorian Auto wants its advertising requirements at minimum cost. x1=numberof1-minutecomedyadspurchasedx2=numberof1-minutefootballadspurchasedminz=50x1+100x2s.t.7x1+2x2282x1+12x224x1,x20 a) Name the constraints in primal problem. b) Formulate the dual. c) Name variables in dual problem. d) Name the constraints in dual problem. e) Solve both primal and dual problems using LINGO solver (your submission should include a two screenshots of LINDO solver for both primal and dual problems that shows the sensitivity analysis tables). f) Check if the two outputs match each other