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

W

$300$

$M$

jars

profit $

$($b$)$ Specify the objective function ranges. $($Round your answers to five decimal places.$)$

Western Foods Salsa

Mexico City Salsa

to

I $x$

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

constraint $1$

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

One additional ounce of whole tomatoes will improve profits by $$0\mathrm{.}125.$

One additional ounce of whole tomatoes will improve profits by $$240\mathrm{.}00.$

Additional ounces of whole tomatoes will not improve profits.

constraint $2$

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

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

One additional ounce of tomato sauce will improve profits by $$240\mathrm{.}00.$

Additional ounces of tomato sauce will not improve profits.

constraint $3$

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

One additional ounce of tomato paste will improve profits by $$0\mathrm{.}125.$

One additional ounce of tomato paste will improve profits by $$240\mathrm{.}00.$

Additional ounces of tomato paste will not improve profits. $($d$)$ Identify each of the right$-$hand$-$side ranges. $($Round your answers to two decimal places. If there is no upper or lower limit$,$ enter NO LIMIT.$)$

constraint $1$

to

constraint $2$

to

constraint $3$

to