[Solution Library] Consider the following LP problem: Maximize earnings =,) 0.80 X_1+\$ 0.40 X_2+\$ 1.20 X_3-\$ 0.10 X_4$ subject to X_1+2 X_2+X_3+5 X_4
Question: Consider the following LP problem:
Maximize earnings \(=\\) 0.80 X_{1}+\$ 0.40 X_{2}+\$ 1.20 X_{3}-\$ 0.10 X_{4}$
subject to \(\quad X_{1}+2 X_{2}+X_{3}+5 X_{4} \leq 150\)
\[\begin{aligned} X_{2}-4 X_{3}+8 X_{4} &=70 \\ 6 X_{1}+7 X_{2}+2 X_{3}-X_{4} & \geq 120 \\ X_{1}, X_{2}, X_{3}, X_{4} & \geq 0 \end{aligned}\]- Convert these constraints to equalities by adding the appropriate slack, surplus, or artificial variables. Also, add the new variables into the problem's objective function.
- Set up the complete initial simplex tableau for this problem. Do not attempt to solve.
- Give the values for all variables in this initial solution.
Deliverable: Word Document 
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