week 6 hw
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 | |||