Introduce slack variables as necessary; then write the initial simplex tableau. Find x_1≥ 0 an
Question: Introduce slack variables as necessary; then write the initial simplex tableau.
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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.
\[\]
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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Solution Format: Word Document
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