Given the following LP model, Min 3S + 9C s.t. 6S + 10C <=60 7S + 5C <= 42 X , Y

ID: 3198181 • Letter: G

Question

Given the following LP model,

Min 3S + 9C

s.t.

6S + 10C <=60

7S + 5C <= 42

X , Y >= 0

a. What is the optimal value of the objective function?

b. What are the optimal values of the two decision variables?

c. Find the range of optimality for objective function coefficients S and C.

d. How would a decrease of 1 gram in the S coefficient of the objective function affect the optimal values of the decision variables?

e. What is the range of feasibility of the dual value for the RHS of S and C?

solved usingexcel solver

a. What is the optimal value of the objective function?

b. What are the optimal values of the two decision variables?

C = 0, S = 0

c. Find the range of optimality for objective function coefficients S and C.

C = 0, S = 0

d. How would a decrease of 1 gram in the S coefficient of the objective function affect the optimal values of the decision variables?

It won't affect

objective min 3S+9C 0 variable S 0 variable C 0 constraint 6S + 10C <=60 60 constraint 7S + 5C <= 42 42 constraint X , Y >= 0

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