(b) Sketch the feasible region. Give your answer in the worksheet named P1-Graph
P1
| (a) Define the decision variables and write the linear programming model for the problem in the space provided below | ||||||||||
| (b) Sketch the feasible region. Give your answer in the worksheet named P1-Graph | ||||||||||
| (i) You can use QM for Windows to get the graph, copy and paste it onto the worksheet named P1-Graph OR | ||||||||||
| (ii) You can sketch the feasible region on paper, scan and save it in your computer. | ||||||||||
| Copy the image (i.e. graph) and paste it onto the worksheet named P1-Graph | ||||||||||
| (c’) Write all the vertices of the feasible region and identify the optimal vertex | ||||||||||
| What is the optimal objective function value? | ||||||||||
| Vertex | x1 | x2 | x1 | x2 | ||||||
| 1 | optimal vertex | |||||||||
| 2 | ||||||||||
| 3 | optimal objective fuction value |
P1-Graph
P2
| (a) Define the decision variables and write the linear programming model for the problem in the space provided below | |||||||||
| (b) Sketch the feasible region. Give your answer in the worksheet named P2-Graph | |||||||||
| (i) You can use QM for Windows to get the graph, copy and paste it onto the worksheet named P2-Graph OR | |||||||||
| (ii) You can sketch the feasible region on paper, scan and save it in your computer. | |||||||||
| Copy the image (Graph) and paste it onto the worksheet named P2-Graph | |||||||||
| Write all the vertices of the feasible region and identify the optimal vertex | |||||||||
| What is the optimal objective function value? | |||||||||
| Vertex | x1 | x2 | x1 | x2 | |||||
| 1 | optimal vertex | ||||||||
| 2 | |||||||||
| 3 | optimal objective fuction value | ||||||||
| 4 | |||||||||
| 5 | |||||||||
| (c’) | How much labor and wood will be unused if the optimal number of chairs and tables are used? | ||||||||
| Provide your answer in the space below |
P2-Graph
P3
| (a) Define the decision variables and write the linear programming model for the problem in the space provided below | |||||||||
| (b) Sketch the feasible region. Give your answer in the worksheet named P4-Graph | |||||||||
| (i) You can use QM for Windows to get the graph, copy and paste it onto the worksheet named P4-Graph OR | |||||||||
| (ii) You can sketch the feasible region on paper, scan and save it in your computer. | |||||||||
| Copy the image (Graph) and paste it onto the worksheet named P4-Graph | |||||||||
| (c’) Write all the vertices of the feasible region and identify the optimal vertex | |||||||||
| What is the optimal objective function value? | |||||||||
| Vertex | x1 | x2 | x1 | x2 | |||||
| 1 | optimal vertex | ||||||||
| 2 | |||||||||
| 3 | optimal objective fuction value |
P3-Graph
P4
| (a) Sketch the feasible region. Give your answer in the worksheet named P5-Graph | |||||||||
| (i) You can use QM for Windows to get the graph, copy and paste it onto the worksheet named P5-Graph OR | |||||||||
| (ii) You can sketch the feasible region on paper, scan and save it in your computer. | |||||||||
| Copy the image (Graph) and paste it onto the worksheet named P5-Graph | |||||||||
| (b) Write all the vertices of the feasible region and identify the optimal vertex | |||||||||
| What is the optimal objective function value? | |||||||||
| Vertex | x1 | x2 | x1 | x2 | |||||
| 1 | optimal vertex | ||||||||
| 2 | |||||||||
| 3 | optimal objective fuction value |
