Question

Homework for section 4.3. Summer 2020 Math 116, section 70, Summer 1 2020 WebAssign 1.-12 Points Harmathapit 4.3.003.MI Set Up The S... I Che MY NOTE 1. [-/18 Points) DETAILS HARMATHAP11 4.3.003.MI. Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 5x + 7y subject to 6x + 7y S 300 x + 6y S 250. x y S; S2 first constraint second constraint objective function Need Help? Read Watch Submit Answer 2. (-/31 Points] DETAILS HARMATHAP114.3.003.MI.SA. MY NOTES This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will nom skipped part. Tutorial Exercise Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 5x + 3y subject to 4x + 3y s 700 x + 2y = 300. Click here to begin Need Help? Watch

Answer 1

Solution (1) Max f 5x + 74 subject to 6x + 7y s 300 x + by 5250 x70 yo the set Convert system of inequalities (constraints) to equations using slack variables 8 and respectively and the objective function equal to Rewrite given problem zesc the 9 we have Max - 5x - 7y + b =0 6x + 7y + s = 300 x + 6y + 8₂ = 250 x70, 470 8.70, 8,70. 2 y si 32 ot 6 7 - O 300 ОС 6 250 -5 o O - solution (2) Convert the given system of inequalities to equations using slack variables s, and se respectively and set the objective function equal to zesc Rewrite the given pocoblem we have Maximize - 5x-3y & B = 0 4x + 3y + 8, = 700 xt Oy + 8 = 300 8,30 3 x30 y 70

y S2 ao O ។ 3 O 700 2 o о 300 -5 -3 о о O