Using your graph, calculate the range of optimality for the two objective function coefficients on your scrap page. You must show your work on the scrap page to receive credit and you can write these two ranges on your Scrap page as inequalities (as we did in class). But then answer the two questions here. Use 1 decimal, only if needed

a. The minimum value for coefficient C1 is b. The maximum value for coefficient C1 is c. The minimum value for coefficient C2 is d. The maximum value for coefficient C2 is

4. What is the definition of a Dual Value?

5. Replot the LP problem on a second grid on your scrap page. Calculate the Dual Value for constraint #2. What is the DV? (1-2 decimal places, only if needed)

6. Calculate the range of feasibility for the R-H-S value of the above constraint. e. The minimum value for the R-H-S is Use 2 decimals (x.xx) f. The maximum value for the R-H-S is Use 2 decimals (x.xx)

7. What is the Dual Value for Constraint # 3?

Given the following LP formulation in which you wish to maximize profit: MAX 12A + 20 B s.t. #1) 3 A + 2B s 24 To graph: (0,12) and (8,0) #2) 4A + 4BS 40 (0,10) and (10,0) #3) 2 A + OBS 14 (7,0) and (7,10) #4) OA + 2B s 17 (0,8.5) and (10,8.5) A,B 20 Look at the graph and copy it to your Scrap page. The boundary lines are provided for you and the Feasible Region is marked. Label the constraint #s. 12 10 8 B6 4 2. Look at the graph and copy it to your Scrap page. The boundary lines are provided for you and the Feasible Region is marked. Label the constraint #s. 12 10 8 B6 4 4 N 0 0 2 6 8 10 The optimal solution is located at (1.5, 8.5). What is the value of the objective function at the optimal solution? (Use 2 decimal places) 2. What is the definition of the Range of Optimality (scientific and your own words)