Consider the following maximum-claim reusable resource system with four processes (PO, P1, P2, P3) and three resource types (RO, R1, R2). The maximum claim matrix C is given by: R1 R2 PO 1 4 P1 3 1 4 P2 5 6 13 P3 1 1 6 where Cij denotes the maximum claim of process i for resource j. The total number of units of each resource type is given by the vector R1 8 15 The current allocation of resources is given by the matrix A RO 5 PO P1 P2 P3 RO 0 2 1 1 RO 4 R1 1 0 4 0 R2 R2 4 3 1 3 Answer the following questions about the system (you do not need to draw any graphs): 2) For the system state shown above, determine if a new request by process P2 for 6 units of resource R2 can be safely granted. (Remark: You can assume that the system state above does not yet take into account this request.). Explain your reasoning. If the request cannot be safely granted, how should the system behave with respect to the request?

Consider the following maximum-claim reusable resource system with four processes (P0, P1, P2, P3) and three resource types (R0, R1, R2). The maximum claim matrix C is given as:   R0 R1 R2 P0 4 1 4 P1 3 1 4 P2 5 6 13 P3 1 1 6   Where Cij denotes the maximum claim of the process i for resource j. The total number of units of each resource type is given by the vector: R0 R1 R2 5 8 15    The current allocation of resources is given by matrix A:   R0 R1 R2 P0 0 1 4 P1 2 0 3 P2 1 4 1 P3 1 0 3   Answer the following question about the system:  For the system state shown above, determine if a new request by process P2 for 6 units of resource R2 can be safely granted. (Remark: You can assume that the system state above does not yet accommodate this request.). Explain your reasoning. If the request cannot be safely granted, how should the system behave with respect to the request?

A company manufactures 3 products in 2 different factories. The cost of production and time required for production for each product varies depending on which factory produces it. The time and cost required for production of each product in each factory is provided in the tables in this worksheet. Demand for products 1, 2 and 3 are 200, 240 and 100 units, respectively. There are a total of 3,000 hours available in each factory. Additionally, at least 60% of the total units of Product 1 must be produced in Factory A, and at least 40% of  of the total units of Product 2 must be produced in Factory B. Create a linear programming model and use the Solver add-in to determine the optimal production plan that will minimize total cost. Note: The cost is per unit not per hour. All demand must be met.

question 3