PROBLEM 1: Scheduling (8 points) Scenario For more than 15 years, Beaux jardins has been working in the field of landscaping. Thanks to its team of 45 qualified employees, the company offers arboriculture services (pruning, felling, disease screening, haie pruning, etc.), architecture, landscaping (stone, concrete, paving or wood) and carpentry (stairs, sheds, garden fences, pergola, etc.). During the winter, the company owner signed contracts with five customers and scheduled the work for the month of July. The duration of the work in days and the promised date of completion of the +work appear in the following table: Client Duration of work (in days) Promised date (day) A 7 9 B 4 15 C 11 26 D 5 17 And 3 7 Questions Part A: Unlimited Capacity a) Establish an unlimited capacity production program with downstream staking. b) Establish an unlimited capacity production schedule with upstream staking. (1 point) (1 point) Part B: Limited Capacity c) Establish a limited capacity production schedule based on the Short Operation Time (TOC) priority rule. (1 point) d) Establish a limited capacity production program based on the Promised Date Priority (PNR) rule. (1 point)