Consider the Following Integer Linear Programming Problem The Solution to the Linear Programming Formulation Is: X1 =

question 7

Short Answer

Consider the following integer linear programming problem:

$\begin{array} { l l } \text { Max } Z = & 3 x _ { 1 } + 2 x _ { 2 } \\\text { Subject to: } & 3 x _ { 1 } + 5 x _ { 2 } \leq 30 \\& 4 x _ { 1 } + 2 x _ { 2 } \leq 28 \\& x _ { 1 } \leq 8 \\& x _ { 1 } , x _ { 2 } \geq 0 \text { and integer }\end{array}$
The solution to the linear programming formulation is: x1 = 5.714, x2 = 2.571.
What is the optimal solution to the integer linear programming problem?
State the optimal values of decision variables and the value of the objective function.

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Definitions:

Isometric

Pertaining to muscle contractions where tension is developed without changing the length of the muscle.

Passive

Exhibiting or characterized by non-resistance or submission to external forces or influences.

Electromyography

A diagnostic procedure to assess the health of muscles and the nerve cells that control them (motor neurons) by recording the electrical activity.

Electrical Activity

Movements of ions that create electrical impulses, fundamental for the functioning of nerves and muscles, including the heart and brain.