Question: The Ploughman family has owned and operated a 640 acre farm
The Ploughman family has owned and operated a 640-acre farm for several generations. The family now needs to make a decision about the mix of livestock and crops for the coming year. By assuming that normal weather conditions will prevail next year, a linear programming model can be formulated and solved to guide this decision. However, adverse weather conditions would harm the crops and greatly reduce the resulting value. Therefore, considerable postoptimality analysis is needed to explore the effect of several possible scenarios for the weather next year and the implications for the family’s decision.
Relevant QuestionsConsider the following problem. Maximize Z = 2x1 + 7x2 – 3x3, Subject to and x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. By letting x4 and x5 be the slack variables for the respective constraints, the simplex method yields the following ...Consider the Distribution Unlimited Co. problem presented in Sec. 3.4 and summarized in Fig. 3.13. Consider the following problem. Maximize Z = 3x1 + 2x2, Subject to and x1 ≥ 0, x2 ≥ 0. Simultaneously use the upper bound technique and the dual simplex method manually to solve the following problem. Minimize Z = 3x1 + 4x2 + 2x3, Subject to And 0 ≤ x1 ≤ 25, 0 ≤ x2 ≤ 5, 0 ≤ x3 ≤ 15. Use parametric linear programming to find an optimal solution for the following problem as a function of θ, for 0 ≤ θ ≤ 30. Maximize Z (θ) = 5x1 + 6x2 + 4x3 + 7x4, Subject to and xj ≥ 0, for j = 1, 2, 3, 4. Then ...
Post your question