Question 4 (25 marks) Sunlux Consulting cc specialises in two types of consultancy project. Each type A project requires twenty hours of work from qualified researchers and eight hours of work from junior researchers Each type B project requires twelve hours of work from qualified researchers and fifteen hours of work from junior researchers Researchers are paid on an hourly basis at the following rates: Qualified researchers N$30/hour Junior researchers N$14/hour Other data relating to the project are: B N$ N$ 1 700 1 500 Revenue per project Direct project expenses 408 310 Page 12 of 16 FACULTY OF COMMERCE, MANAGEMENT AND LAW Administration 280 270 **Administration costs are attributed to projects using a rate per project hour. Total administration costs are N$28 000 per four week period. During the four week period ending on 30 June 2022, owing to holidays and other staffing difficulties the number of working hours available are: Qualified researchers 344 Junior researchers 120 An agreement has already been made for twenty type A projects with Windhoek Limited. Sunlux Consulting must start and complete these projects in the four week period ending 30 June 2022. A maximum of 60 type B projects may be undertaken during the four week period ending 30 June 2022. Sunlux Consulting is preparing its detailed budget for the four week period ending 30 June 2022 and needs to identify the most profitable use of the resources it has available. Required Marks Sub Total total 10 10 10 20 4.1 Formulate the linear programming model for the four week period ending 30 June 2022 in standard format. 4.2 Calculate using the graphical method, the mix of projects that will maximise profit for Sunlux Consulting for the four week period ending 30 June 2022. 4.3 Explain the importance of identifying scarce resources when preparing budgets and the use of linear programming to determine the optimum use of resources. Total 5 25 25 Total assignment 1: 90 marks