$($A$)$ What are the right$-$hand$-$side ranges? $($Use minutes for time. If there is no upper or lower limit$,$ enter NO LIMIT. Round your answers to the nearest integer.$)$

shaper availability$-?$ to $?$

grinder availability$-?$ to $?$

max units of component $3-?$ to $?$

max units of component $1-?$ to $?$

max units of component $2-?$ to $?$

existing orders for component $1-?$ to $?$

Interpret these ranges for company management. Choose correct answer.

a$)$ These are the ranges over which the dual values for the associated constraints are not applicable.

b$)$ These are the ranges over which the reduced costs for the associated constraints are applicable.

c$)$ These are the ranges over which the reduced costs for the associated constraints are not applicable.

d$)$ These are the ranges over which the dual values for the associated constraints are applicable.

$($B$)$ If more time could be made available on the grinder, how much would it be worth? Choose correct answer.

a$)$ Nothing, since there are $300$ minutes of slack time on the grinder at the optimal solution.

b$)$ Every additional minute on the grinder increases profits by $$3.$

c$)$ Every additional minute on the grinder increases profits by $$1\mathrm{.}50.$

d$)$ Every additional minute on the grinder decreases profits by $$1.$

$($C$)$ If more units of component $3$ can be sold by reducing the sales price by $$4,$ should the company reduce the price? Choose correct answer.

a$)$ Yes. At that price, it would be profitable to produce $700$ units of component $3.$

b$)$ Yes. Every additional unit of component $3$ increases profits by $$3.$

c$)$ No$.$ There is a slack of $300$ units so selling more would not improve profits.

d$)$ No$.$ At that price, it would not be profitable to produce any of component $3.$