Please show steps/calculations pertaining to the questions. Thank you.

I created a sensitivity report. Answer the following questions. (a-5 pts) What is the value of the optimal Z*? (b-5 pts) What are the binding constraints? (c- 5 pts) A new outreach program costing $30,000 would increase the number of Physics applicant by 50 . Would you recommend pursuing it? (d - 5 pts) Whoop! University must lower the tuition by 500 for one program only. Which program would you choose? (e-5 pts) Available computer hours are reduced by 10,000 . What would happen to your current optimal admission policy? (f - 5 pts) 300 additional dorm rooms are available. What would happen to your current optimal admission policy? (g - 5 pts) 1,000 additional Physics students have applied. What would happen to your current optimal admission policy and the total tuition