I have 15min

QUESTIONS 1) Sinem spends 3 hours a day for social network shares on the internet. If she spends 1 hour on Facebook, she gets 4 new friends, 2 likes, 3 shares; whereas she gets 7 new friends, 5 likes, 2 shares on Twitter for 1 hr. Popularity index for 1 new friend is 100,1 like is 50,1 share is 75 both on Facebook and Twitter. She is spending time more than twice on Facebook compared to Twitter. She spends minimum 20 minutes on Twitter daily. Construct the mathematical model which maximizes the daily popularity index of Sinem and determines the optimum Facebook and Twitter usage durations. Describe the decision variables of the model clearly. Write and explain the objective function and constraints of your model. (30p.) 2) Tora solution of the following problem has been given below. Answer following questions by using Tora solution. ( 25 p.) Maksz=300x1+400x250m10.8x1+x2m1=88x2>=26x1,x2>=0 LP OPTIMUM FOUND AT STEP 3 OBIECTIVE FINCTION VALUE 1) 32540.00 NO. IMERATIONS - 3 RANGES IN WHICH THE BASIS IS UNCHANGED: a. What will be the new solution if the contribution of x1 to the objective function is 350 ? b. If RHS of second constraint has been 97 instead of 98 what will be the new solution