Question: (a) Write the mathematical programming formulations of constraints in Eq1. GAMS MODEL SETS i some set / 1*4 / j some set / 1*3 /;

(a) Write the mathematical programming

(a) Write the mathematical programming formulations of constraints in Eq1. GAMS MODEL SETS i some set / 1*4 / j some set / 1*3 /; PARAMETERS a(i) some parameter / 1 30, 250, 3 120, 4 20 / c(j) some paramater / 16, 24, 39/; TABLE b(i,j) some table 1 2 3 1 2 24 2 3 3 5 3 4 2 4 4 8 6 2; SCALARS u some scalar / 70.077 /; VARIABLES z(j) sone variable some variable sone variable; y.fx -u; POSITIVE VARIABLES z; EQUATIONS Eqi(i) some equation Eq2 some equation; Eq1(i).. sum(, b(i,j)*z(j)) =L= a(i); Eq2.. sum(j, c(j)*z(j)) =E= x; MODEL S2021M /all/; SOLVE S2021M using LP maximizing x; GAMS OUTPUT (b) Write the optimal values of decision variables that are not redundant. Remark: Do not write symbols, relations, etc. Just give numeric values. **** REPORT SUMMARY : NONOPT @ INFEASIBLE UNBOUNDED Execution 31 VARIABLE X.L = 68.571 some variable 31 VARIABLE y.L = 70.077 some variable 31 VARIABLE 2.L some variable 1 0.714, 3 7.143 (a) Write the mathematical programming formulations of constraints in Eq1. GAMS MODEL SETS i some set / 1*4 / j some set / 1*3 /; PARAMETERS a(i) some parameter / 1 30, 250, 3 120, 4 20 / c(j) some paramater / 16, 24, 39/; TABLE b(i,j) some table 1 2 3 1 2 24 2 3 3 5 3 4 2 4 4 8 6 2; SCALARS u some scalar / 70.077 /; VARIABLES z(j) sone variable some variable sone variable; y.fx -u; POSITIVE VARIABLES z; EQUATIONS Eqi(i) some equation Eq2 some equation; Eq1(i).. sum(, b(i,j)*z(j)) =L= a(i); Eq2.. sum(j, c(j)*z(j)) =E= x; MODEL S2021M /all/; SOLVE S2021M using LP maximizing x; GAMS OUTPUT (b) Write the optimal values of decision variables that are not redundant. Remark: Do not write symbols, relations, etc. Just give numeric values. **** REPORT SUMMARY : NONOPT @ INFEASIBLE UNBOUNDED Execution 31 VARIABLE X.L = 68.571 some variable 31 VARIABLE y.L = 70.077 some variable 31 VARIABLE 2.L some variable 1 0.714, 3 7.143

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