OPTIMIZATION AND EXCEL SOLVER

Following is the Sensitivity Report of an Excel Solver Optimization problem.

This is a revenue maximization problem.

What is the impact of increasing the quantity of silk by 10 units?

Question

OPTIMIZATION AND EXCEL SOLVER

Following is the Sensitivity Report of an Excel Solver Optimization problem.

This is a revenue maximization problem.

What is the impact of increasing the quantity of silk by 10 units?

BlackTom AI · Accepted Answer

Shadow price for silk is 0, so adding more silk will not raise revenue.

1) Relevant concepts: a constraint’s shadow price (dual value) tells how much the objective (revenue) changes per one-unit increase in the right-hand side (RHS) while remaining in the same sensitivity range. If the shadow price = 0 the constraint is non‑binding (there is slack), so small increases in that resource do not change the optimal objective or solution mix. Allowable increase/decrease tell how far the RHS can move without changing the basis (optimal mix).

2) Step-by-step reasoning using the report: the Constraints table shows for Silk: Final RHS = 7000, Final (usage) = 2917, Shadow Price = 0, Allowable Increase = 1E+30 (effectively unlimited), Allowable Decrease = 4083.

3) Calculations / intermediates:
- Slack currently = RHS − usage = 7000 − 2917 = 4083 units of unused silk.
- Increase silk by 10 → new slack = 4083 + 10 = 4093 (still positive; silk remains non‑binding).
- Change in objective = shadow price × change in RHS = 0 × 10 = 0.

4) Why the correct answer is correct: because silk is non‑binding (shadow price 0) and the allowable increase is enormous, a +10 units change lies well inside the sensitivity range and does not alter the optimal basis or the objective value. The optimal mix remains the same and revenue does not change.

5) Why the other options are incorrect:
- “It will increase the objective function”: false because the shadow price is zero, so additional units give zero marginal revenue.
- “It will change the optimal mix”: false because silk is non‑binding and the change is within the allowable range; the basis won’t change.
- “It will change both the optimal mix and the value of the objective function”: false for the same reasons above.
- “none of the options listed”: unnecessary — the correct option is listed.

Conclusion: Increasing silk by 10 units will have no impact (matches the provided answer).

OPTIMIZATION AND EXCEL SOLVER Following is the Sensitivity Report of an Excel Solver Optimization problem. This is a revenue maximization problem. What is the impact of increasing the quantity of silk by 10 units?单项选择题

类似问题

Using the data from the example in class, conduct sensitivity analysis to PRICE. Assume tax rate of 21%. What is the projected NI at the lower price level?

Which of the following is NOT a question answered by standard sensitivity analysis information?

The upper limit of the third coefficient of the objective function is _________ .

Answer the following statement with TRUE or FALSE: the correct way to implement a sensitivity analysis for the second coefficient of the objective function is to vary the second coefficient and the next one at the same time (eg.: coefficient #2 and #3).

Suppose r=12 and d=21. Then, the optimal solution is (Ryegrass, Orchard grass) = (4,0) is optimal. What is the allowable increase associated with d? If your answer is infinity, enter "999".

Suppose r=150 and d=150. Which of the following actions (taken individually) would cause the new optimal solution to change? (Select all that apply.)

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单