$W-$ jars of Western Foods Salsa $M-$ jars of Mexico Cty Sals

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

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

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

$3W+1M,2,400ofof$ tomato saucs

$2W+2M,1,600ofof$ tomato pasate

$W,M0,$

$($a$)$ What is the optimal solution, and what are the optimal production quantities?

$($b$)$ Specty the abjective function ranges. $($Round your answers to five dedimsl places.$)$ Western Foods $5$sles

$($c$)$ What are the dual values for each constraint? Interpret esch.

constraint $1$

O One addional ounce of whole tomatoes will improve protits by $$0\mathrm{.}188$

One acditional ounce of whole tomatoes will improve profts by $$560\mathrm{.}00.$

Additianal ounces of whale tomstaes will not improve prafits.

constraint $2$

One additional ounce of tomato sauce will improve profits by $$0\mathrm{.}188.$

O One additional ounce of tomsto sauce will improve profits by $$0\mathrm{.}125.$

O Ade additional ounce of tomsto sauce will improve profits by $$560\mathrm{.}00.$

constraint $3$

O One additionsl ounce of tomsto paste will improve prafits by $$0\mathrm{.}188.$

O One additionsl ounce of tomsto paste will improve prafits by $$0\mathrm{.}125.$

O Ane additional ounce of tomato paste will improve prafits by $$560\mathrm{.}00.$

constraint $2$ constraint $3$