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Maximization by the simplex method Solve the following linear programming problems using the simplex method. 1>. Maximize z =...

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Basic Math

Maximization by the simplex method

Solve the following linear programming problems using thesimplex method.

1>.

Maximize z = x1 + 2x2 +3x3

subject to x1 + x2 +x3 ? 12

2x1 + x2 + 3x3 ? 18

x1, x2, x3 ? 0

2>.

A farmer has 100 acres of land on which she plans to grow wheatand corn. Each acre of wheat requires 4 hours of labor and $20 ofcapital, and each acre of corn requires 16 hours of labor and $40of capital. The farmer has at most 800 hours of labor and $2400 ofcapital available. If the profit from an acre of wheat is $80 andfrom an acre of corn is $100, how many acres of each crop shouldshe plant to maximize her profit?

Answer & Explanation Solved by verified expert
4.2 Ratings (617 Votes)
The problem is converted to canonical form by adding slacksurplus and artificial variables as appropiate1 As the constraint1 is of type we should add slack variableS12 As    See Answer
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