$46$Chapter $3$OptimizationofLinearModelsf. Which constraints are binding?g$.$ Machining time can be increased by a maximum of $4$ hours at a cost of $$90$ perhour. Should they add any machine time? If so$,$ how many hours?h$.$ Ames uses overtime to add up to $4$ additional hours for assembly. Overtimehours cost the company $$50$ per hour. How many hours of overtime shouldthey add? Why?i$.$ Ames uses overtime to add up to $16$ additional hours for assembly. Overtimehours cost the company $$50$ per hour. How many hours of overtime shouldthey add? Why?$14.$ Interpreting Sensitivity Reportsa. If profit margin for X is increased by $10,$ what would be the change in optimumvalue? What if it is increased by $15?$b$.$ If profit margin for Y is decreased to $30,$ what would be the change in optimumvalue?c$.$ If $3$ hours of extra labor can be provided for a total cost of $$200,$ should thecompany do it$?$Why or why not?d$.$ The machining availability has dropped from $7$ to $6\mathrm{.}5.$ What impact will thishave on the optimal solution and the optimal value?e$.$ The painting availability has dropped from $6$ to $5\mathrm{.}5.$ What impact will this haveon the optimal solution and the optimal value?