Question

What is the correct answer

Maximize Z = 81x1 + 73x2 + 69x3

subject to:

0.06 y1 + 460y2 + 13.1y3 = 1

86x1 + 75x2 + 71x3 ≥ 0.06y1 + 260y2 + 11.3y3

82x1 + 72x2 + 67x3 ≥ 0.05y1 + 320y2 + 10.5y3

81x1 + 79x2 + 80x3 ≥ 0.08y1 + 340y2 + 12.0y3

81x1 + 73x2 + 69x3 ≥ 0.06y1 + 460y2 + 13.1y3

xi, yi ≥ 0

Maximize Z = 82x1 + 72x2 + 67x3

subject to:

0.05 y1 + 320y2 + 10.5y3 = 1

86x1 + 75x2 + 71x3 ≤ 0.06y1 + 260y2 + 11.3y3

82x1 + 72x2 + 67x3 ≤ 0.05y1 + 320y2 + 10.5y3

81x1 + 79x2 + 80x3 ≤ 0.08y1 + 340y2 + 12.0y3

81x1 + 73x2 + 69x3 ≤ 0.06y1 + 460y2 + 13.1y3

xi, yi ≥ 0

Maximize Z = 81x1 + 73x2 + 69x3

subject to:

0.08 y1 + 340y2 + 12y3 = 1

86x1 + 75x2 + 71x3 ≤ 0.06y1 + 260y2 + 11.3y3

82x1 + 72x2 + 67x3 ≤ 0.05y1 + 320y2 + 10.5y3

81x1 + 79x2 + 80x3 ≤ 0.08y1 + 340y2 + 12.0y3

81x1 + 73x2 + 69x3 ≤ 0.06y1 + 460y2 + 13.1y3

xi, yi ≥ 0

Maximize Z = 81x1 + 79x2 + 80x3

subject to:

0.08 y1 + 340y2 + 12y3 = 1

86x1 + 75x2 + 71x3 ≤ 0.06y1 + 260y2 + 11.3y3

82x1 + 72x2 + 67x3 ≤ 0.05y1 + 320y2 + 10.5y3

81x1 + 79x2 + 80x3 ≤ 0.08y1 + 340y2 + 12.0y3

81x1 + 73x2 + 69x3 ≤ 0.06y1 + 460y2 + 13.1y3

xi, yi ≥ 0

None of the above

Answer 1

To maximize Z = 81x1 + 73x2 + 69x3, subject to the given constraints, use the correct equations and inequalities and solve the linear programming problem.

Step-by-step explanation:

To maximize Z = 81x1 + 73x2 + 69x3, subject to the given constraints, we need to solve the linear programming problem. Here are the correct equations and inequalities:

0.06y1 + 460y2 + 13.1y3 = 186x1 + 75x2 + 71x3

x1 ≥ 0.06y1 + 260y2 + 11.3y3

82x1 + 72x2 + 67x3 ≥ 0.05y1 + 320y2 + 10.5y3

81x1 + 79x2 + 80x3 ≥ 0.08y1 + 340y2 + 12.0y3

81x1 + 73x2 + 69x3 ≥ 0.06y1 + 460y2 + 13.1y3

xi, yi ≥ 0

To solve this problem, we can use a linear programming solver or the simplex method. This will give us the values of x1, x2, x3, y1, y2, and y3 that maximize Z.