can I someone help with this question, I will give a upvote for any fast response.

please show working out.

During the four-week period ending 30 June 2022, owing to holidays and other staffing difficulties the number of working hours that will be available is: Qualified researchers Junior researchers 1,344 1,120 An agreement has already been made for 15 type A project with the WXY group. BAR 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. BAR Consulting is preparing its detailed budget for the four-week period and needs to identify the most profitable use of the resources it has available. Required: (a) Calculate the contribution from each type of project and the objective function for this exercise. (6) Determine the constraints that apply. (c) Determine the information needed to plot the graph to identify the optimal production plan for the four-week period ending June 30, 2022, assuming that BAR Consulting is seeking to maximize the profit earned. (d) Do a rough sketch of the graph and identify the possible values for the optimal production plan. State your answer as intersecting points between stated constraint equations. (The sketch is not to be submitted) BAR Consulting specializes in two types of consultancy projects. Each Type A project requires 20 hours of work from qualified researchers and 8 hours of work from junior researchers. Each Type B project requires 12 hours of work from qualified researchers and 15 hours of work from junior researchers. Researchers are paid on an hourly basis at the following rates: Qualified researchers Junior researchers $30/hour $14/hour Other data relating to the projects Project type Revenue per project Direct project expenses Administration* A $ 2,000 865 280 B $ 1,800 518 270 *Administration costs are attributed to projects using a rate per project hour. Total administration costs are $28,000 for a four-week period. During the four-week period ending 30 June 2022, owing to holidays and other staffing difficulties the number of working hours that will be available is: During the four-week period ending 30 June 2022, owing to holidays and other staffing difficulties the number of working hours that will be available is: Qualified researchers Junior researchers 1,344 1,120 An agreement has already been made for 15 type A project with the WXY group. BAR 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. BAR Consulting is preparing its detailed budget for the four-week period and needs to identify the most profitable use of the resources it has available. Required: (a) Calculate the contribution from each type of project and the objective function for this exercise. (6) Determine the constraints that apply. (c) Determine the information needed to plot the graph to identify the optimal production plan for the four-week period ending June 30, 2022, assuming that BAR Consulting is seeking to maximize the profit earned. (d) Do a rough sketch of the graph and identify the possible values for the optimal production plan. State your answer as intersecting points between stated constraint equations. (The sketch is not to be submitted) BAR Consulting specializes in two types of consultancy projects. Each Type A project requires 20 hours of work from qualified researchers and 8 hours of work from junior researchers. Each Type B project requires 12 hours of work from qualified researchers and 15 hours of work from junior researchers. Researchers are paid on an hourly basis at the following rates: Qualified researchers Junior researchers $30/hour $14/hour Other data relating to the projects Project type Revenue per project Direct project expenses Administration* A $ 2,000 865 280 B $ 1,800 518 270 *Administration costs are attributed to projects using a rate per project hour. Total administration costs are $28,000 for a four-week period. During the four-week period ending 30 June 2022, owing to holidays and other staffing difficulties the number of working hours that will be available is