Statistics Solutions

[Solution] Introduce slack variables as necessary; then write the initial simplex tableau. Find x_1≥ 0 and x_2≥ 0 such that 10x_1+4x_2≤ 100 , 20x_1+10x_2≤

Question: Introduce slack variables as necessary; then write the initial simplex tableau.
\[\]
Find \[{{x}_{1}}\ge 0\] and \[{{x}_{2}}\ge 0\] such that

\[\begin{aligned} & 10{{x}_{1}}+4{{x}_{2}}\le 100 \\ & 20{{x}_{1}}+10{{x}_{2}}\le 150 \\ \end{aligned}\]
and \[z=4{{x}_{1}}+5{{x}_{2}}\] is maximized.

(Hint: See Example 2, Page 157)

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