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?
