c$.$ What is the objective function value for the objective function line through the point $(2,3)?($Another name for the objective function line is "isoprofit line," see page $24$ in the textbook for a description.$)$

d$.$ What is the objective function value for the objective function line through the point $(1,1)?$ Is this an improvement to the answer in part c$?$

e$.$ Which best describes the linear program $($LP$)$: infeasible, unique optimal solution, alternate optimal solution, or unbounded optimal solution?

f$.$ Consider the following new constraint: The water filtering had to be replaced. The new system will only be able to provide water to a maximum of $8$ acres of tomatoes. Pepper production is not affected.

Will the feasible region stay the same, increase, or decrease?

Will the optimal value stay the same, increase, or decrease?

If the new constraint does cause the optimal solution and optimal value to change, what are the new optimal solution and optimal value?