MAT 540 MAT540 Week 6 Homework

(a) Define the decision variables and write the linear programming model for the problem in the space provided below

Decision variables:

X1 = amount of oat

x2 = amount of rice

Liner programming,

Minimize:Z = $0.06X1 + $0.03X2

Subject to,10X1+6X2 >= 45

2X1+3X2 >= 13

X1, X2 >= 0

(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?

(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

(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

(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?

(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?