# Question: Consider the following problem Maximize Z 2x1 7x2

Consider 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 final set of equations:

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 final set of equations:

**View Solution:**## Answer to relevant Questions

This case is a continuation of Case 4.3, which involved the Springfield School Board assigning students from six residential areas to the city’s three remaining middle schools. After solving a linear programming model for ...Consider the following problem. Maximize Z = c1x1 + c2x2, Subject to and x1 ≥ 0, x2 ≥ 0. Let x3 and x4 denote the slack variables for the respective functional constraints. When c1 = 3, c2 = –2, b1 = 30, and b2 = ...Consider the example for case 1 of sensitivity analysis given in Sec. 7.2, where the initial simplex tableau of Table 4.8 is modified by changing b2 from 12 to 24, thereby changing the respective entries in the right-side ...Reconsider the example used to illustrate the interiorpoint algorithm in Sec. 8.4. Suppose that (x1, x2) = (1, 3) were used instead as the initial feasible trial solution. Perform two iterations manually, starting from this ...Consider Prob. 7.2-3. Use parametric linear programming to find an optimal solution as a function of θ for -20θ ≤ θ ≤ 0.Post your question