FIGURE $3\mathrm{.}19$ THE SOLUTION FOR THE TUCKER, INC., PROBLEM

$\backslash$table$[[40900\mathrm{.}00000],[$Variable$,$Value,Reduced Cost$],[--------------,---------------,-----------------],[S,100\mathrm{.}00000,0\mathrm{.}00000],[$SC$,150\mathrm{.}00000,0\mathrm{.}00000],[$D$1,40\mathrm{.}00000,0\mathrm{.}00000],[$D$2,0\mathrm{.}00000,-10\mathrm{.}00000],[$Constraint$,$Slack$/$Surplus$,$Dual Value$],[--------------,------,------,----------------],[1,0\mathrm{.}00000,15\mathrm{.}00000],[2,20\mathrm{.}00000,0\mathrm{.}00000],[3,0\mathrm{.}00000,34\mathrm{.}50000],[4,60\mathrm{.}00000,0\mathrm{.}00000],[5,0\mathrm{.}00000,-35\mathrm{.}00000],[6,75\mathrm{.}00000,0\mathrm{.}00000],[,$Objective,Allowable,Allowable$],[$Variable$,$Coefficient,Increase,Decrease$],[-----------,-------------,----------,----------],[S,190\mathrm{.}00000,35\mathrm{.}00000,$Infinite$],[$SC$,150\mathrm{.}00000,$Infinite,$23\mathrm{.}33333],[$D$1,-15\mathrm{.}00000,15\mathrm{.}00000,172\mathrm{.}50000],[$D$2,-10\mathrm{.}00000,10\mathrm{.}00000,$Infinite$],[,$RHS$,$Allowable,Allowable$],[$Constraint$,$Value,Increase,Decrease$],[----------,------------,----------,----------],[1,200\mathrm{.}00000,40\mathrm{.}00000,60\mathrm{.}00000],[2,180\mathrm{.}00000,$Infinite,$20\mathrm{.}00000],[3,1200\mathrm{.}00000,133\mathrm{.}33333,200\mathrm{.}00000],[4,100\mathrm{.}00000,$Infinite,$60\mathrm{.}00000],[5,100\mathrm{.}00000,50\mathrm{.}00000,100\mathrm{.}00000],[6,75\mathrm{.}00000,75\mathrm{.}00000,$Infinite$]]$

$94$

$$200$ per unit for model DRB and $$280$ per unit for model DRW$.$ The linear programming model for this problem is as follows:

Max $200DRB+280DRW,$

$s.t.$

$,20DRB+25DRW40,000$ Steel available

$,40DRB+100DRW120,000$ Manufacturing minutes

$,60DRB+40DRW96,000$ Assembly minutes

$,DRB,DRW0,$