and $20\%$ tomato paste. Each jar of salsa produced weighs $10$ ounces. Salsa and $$1\mathrm{.}93$ for each jar of Mexico City Salsa. Letting

$W=$ jars $of$ Western Foods Salsa

$M=$ jars $of$ Mexico City Salsa

leads to the formulation $($units for constraints are ounces$)$:

Max $1W+1\mathrm{.}25M,$

$s.t.$

$5W+7M,4,560ozof$ whole tomatoes

$3W+1M,2,400ozof$ tomato sauce

$2W+2M,1,600ozof$ tomato paste

$W,M0,$

The computer solution is shown below.

$\backslash$table$[[$Optimal Objective Value $=,87G\mathrm{.}00000,],[$Variable$,$Value,Reduced Cost$],[$W$,520\mathrm{.}00000,0\mathrm{.}00000],[$M$,280\mathrm{.}00000,0\mathrm{.}00000],[,,],[$Constraint$,$Slack$/$Surplus$,$Dual Value$],[1,0\mathrm{.}00000,0\mathrm{.}12500],[2,560\mathrm{.}00000,0\mathrm{.}00000],[3,0\mathrm{.}00000,0\mathrm{.}18750]]$

$\backslash$table$[[$Variable$,\backslash$table$[[$Objective$],[$Coefficient$]],\backslash$table$[[$Allowable$],[$Increase$]],\backslash$table$[[$Allowable$],[$Decrease$]]],[$W$,1\mathrm{.}00000,0\mathrm{.}25000,0\mathrm{.}10714]]$