and $20\%$ tomato paste. Each jar of salsa produced weighs $10$ ounces. 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 $1W+1\mathrm{.}25M,$

$s.t.$

$5W+7M,4,400ozof$ whole tomatoes

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

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

$W,M0,$

The computer solution is shown below.

$\backslash$table$[[$Variable$,$Value,Reduced,$1$ cost$],[w,600\mathrm{.}00000,,00000],[M,200\mathrm{.}00000,,00000],[$Constraint$,$Slack$/$Sur$,$plus,val Value$],[1,0\mathrm{.}0,0000,0\mathrm{.}12500],[2,400\mathrm{.}0,10000,0\mathrm{.}00000],[3,0\mathrm{.}0,10000,0\mathrm{.}18750]]$

$\backslash$table$[[$Variable$,\backslash$table$[[$Objective$],[$Coefficient$]],\backslash$table$[[$Allowable$],[$Increase$]],\backslash$table$[[$Allowable$],[$Decrease$]]],[$K$,1\mathrm{.}00000,0\mathrm{.}25000,0\mathrm{.}10714],[$M$,1\mathrm{.}25000,0\mathrm{.}15000,0\mathrm{.}25000]]$