In: Operations Management
QSO 320 Problem Set (Problem Set 4-20)
Complete problem 4-20 at the end of Chapter 4 in your textbook. You will demonstrate your work using Excel templates provided. You do not need to include a graphical procedure.
Problem 4-20 | |||||||
X | Y | ||||||
Profit | $4 | $5 | =SUMPRODUCT(B5:C5,$B$4:$C$4) | ||||
Constraints | |||||||
Labor | 1 | 2 | =SUMPRODUCT(B7:C7,$B$4:$C$4) | <= | 10 | ||
Material | 6 | 6 | =SUMPRODUCT(B8:C8,$B$4:$C$4) | <= | 36 | ||
Storage | 8 | 4 | =SUMPRODUCT(B9:C9,$B$4:$C$4) | <= | 40 | ||
LHS | Sign | RHS | |||||
Hi All, The homework problem does not seem straight forward, so I put together a help file to get students moving on this one. The point of this problem is to understand the sensitivity analysis shown in the problem's figure. The sensitivity analysis for the subpart questions should be done out manually. That said, if you have already started your work using the template and have modified the model to align with the textbook subpart questions, then I will accept that format also. Please make sure that after you modify the model for the subpart, you re-solve it and that you add some text to answer the subpart question. Please make sure you add a tab for each subpart question answer. (I would start out by Solving the model and then copy the tab over for each subpart while renaming the tab, a, b, c, etc.) For those who would like to do the assignment to its original intent, I have attached some guidance on how to do the required analysis. |
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1) Formulation of table
2) Formulas used
3) Solver inputs
4) Final solution
The final solution is 2 units of X and 4 units of Y for the optimal value of the objective function. The optimal value of the objective function is $28.