Consider the following LP model and solution for a model to determine the number of comedy ads (x1) and football ads (x2) to buy to maximize the exposure rating Z. Max

Z = 35,000x1 +20,000x2 3000x1 + 1250x2 ≤ 100,000 x1 ≥5 x1 ≤25 x2 ≥ 10 x1, x2 20 80 60 [con1] [con2] [con3] [con4] X₂ 40 20 T 3,000X₁+1,250X₂≤100,000 X₁25 Optimal Exposure Rating b a 5 Feasible Region 10 15 С X₁ d 20 25 X₁≤25 X₂≥10 ↓ 30 35 (a) Determine the range for coefficient of x1 for which the current solution will remain optimal. Show your work, no marks will be given for simply writing down the range. (5 marks) (b) Determine the range for coefficient of x2 for which point C will be optimal. Show your work, no marks will be given for simply writing down the range. (5 marks) (c) Compute the dual price for constraint 1 and 3. Show your work, no marks will be given for simply writing down a number. (2+5= 7 marks)