please answer all questions and show work

Please show your work and formulas used in the problems. 1. The BR General hospital has been designed to care for 200 patients weekly. Effectively they can only care for 180 patients a week. The actual number of patients cared for this week was 140. Find the utilization and efficiency of the Hospital Care unit. (10 Pts) 2. Your company manufactures disposable plastic shields to be worn by hospital personnel while caring for Corona virus patients. The Fixed costs are $1000/month. The variable cost is $2 and the shield sells for $7. (a) How many shields must be sold monthly to break even? (b) What would be the profit if certain month you only sell 50 shields? (c) How many shields must be sold in a month to obtain a profit of $4000. (20 pts) 3. Five tasks must be completed on workstations for a Testing Line in a lab to finish testing one Corona virus kit for any patient. The task times are 5, 2, 10, 1 and 7 minutes. Find (a) Minimum Cycle Time required to test one patient, (b) Maximum Cycle Time for testing the patients in this lab, (c) How many workstations would be needed to have fastest testing turnaround? (d) What would be the Line Efficiency in that case? Assume OT=480 minutes/day. (20 pts)