Note: Attach the Gams code and its output to the assignment Solve the questions with help from the gams printout, add a screenshot to the question from where you got help from the printout.

Dorian Auto 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 highincome men. Each football commercial is seen by 2 million high-income women and 12 million high-income men. A 1-minute 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.

Use linear programming to determine how Dorian Auto can meet its advertising requirements at minimum cost. For the Dorian Auto problem (Example 2 in Chapter 3),

a) Solve the question using gams.

b) If 72 million HIW exposures are required, determine the new optimal z-value.

c) If 42 million HIM exposures are required, determine the new optimal z-value.