A factory wishes to maximize its profit by choosing how many of each of its products to produce every week. The factory cannot produce more than 32 units in total each week. A linear programming problem is formed and the part of the sensitivity report corresponding to this constraint is provided below. If the company could produce 10 more units each week, which of the following can be concluded about the optimal profit?

Name	Final Value	Shadow Price	Constraint R.H. Side	Allowable Increase	Allowable Decrease
Total Production	32	90	32	15.333	8.667

a. Optimal profit increases by 90

b. Optimal profit increases by 900

c. Optimal profit increases by 15.3

d. Optimal profit increases by 153.3

d. The impact on optimal profit cannot be determined with the given information.

Based on the table in the previous question, we can determine that the total production constraint

a. is binding

b. is not binding

c. is unbounded

d. is infeasible