Question: Question 1 (25 points): Consider the Dorian Auto problem discussed in class: Min z = 50x, + 100x, s.t. 7x1 + 2x2 > 28 (HIW

Question 1 (25 points): Consider the Dorian Auto

Question 1 (25 points): Consider the Dorian Auto problem discussed in class: Min z = 50x, + 100x, s.t. 7x1 + 2x2 > 28 (HIW constraint) HIW: High Income Woman 2x1 + 12x2 > 24 (HIM constraint) HIM: High Income Man X1,x2 > 0 (x : number of comedy ads, and xz: number of football ads.) This LP's optimal tableau is given below: x1 x2 z 1 0 0 Row 0 Row 1 Row 2 0 e1e2a1a2 RHS 5 -7. 55 -M 7.5-M 320 -3/20 1/40 3 /20 -1/40 3.6 1/40 -7/80 -1/40 7 /80 1.4 1 0 0 1 (a) (10 pts) Determine the range of values of C (objective function coefficient of x) for which the current basis remains optimal. (b) (8 pts) Determine the range of values of b, (HIW constraint's RHS) for which the current basis remains optimal. (c) (7 pts) Suppose an ad on a news program costs $110 and reaches 12 HIW and 7 HIM. Should Dorian advertise on the news program

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