Question: Simplex Method Solve the following LP problem using the simplex method. Maximize: P = 9x + 7y Subject to: 2x + y 40 x +

Simplex Method

Solve the following LP problem using the simplex method. Maximize: P = 9x + 7y Subject to: 2x + y 40 x + 3y 30 x, y 0

If the right-hand side of constraint 1 was increased by 10, what would be the maximum possible profit be?

a. 230

b. 200

c. 220

d. 210

What is the value of x and y in the optimal table?

a. x = 4, y = 18

b. x = 0, y = 20

c. x = 18, y = 4

d. x = 20, y = 0

Based on the optimal simplex tableau, what is the shadow price for constraint 2?

a. 1

b. -1

c. -4

d. 4

What is the gross profit in Table 2?

a. 200

b. 170

c. 180

d. 190

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