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5-22. Consider the following final simplex tableau for a linear programming problem: Simplex Tableau: 1 Identify the optimal solution. What is the marginal value of

5-22. Consider the following final simplex tableau for a linear programming problem: Simplex Tableau: 1

  1. Identify the optimal solution.
  2. What is the marginal value of an additional unit of resource in the first constraint? What is the range

of b, within which the marginal value is valid (b, = 120) ?

  1. Is there an alternate optimal solution? If so, identify the new solution.
  2. Suppose that the firm can obtain 10 additional units of resource for the fourth constraint at the price

of $10 each (bu = 20). Should it obtain these additional units? Why or why not?

e. Suppose that the firm can obtain additional resources for the second constraint at a price of $1 per unit

more than the current price (b2 = 160). Should it purchase these additional resources? If so,

how many units?

f. Suppose that the firm signed a trade agreement with its competitor, and the agreement resulted in a

new constraint, x, 8. Derive the new solution with this additional constraint.

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