Suppose we adapt a different. "greedy" strateov to solve the rod-cutting problem as follows: for each length i and price p; in the price table, we divide p;/ to find the price per length. We then repeatedly pick the length with the highest possible price per length, according to how much length still remains, and cut a piece of this "best" length. Will this strategy still vield the best results? If so, explain why. If not give a counter example.

Answers

Answer 1

No, this strategy will not yield the best results for the rod-cutting problem. A counterexample can be constructed where the greedy strategy fails to find the optimal solution, such as when there are pricing anomalies or non-linear price relationships across different lengths.

this strategy will not always yield the best results for the rod-cutting problem. The greedy strategy mentioned selects the length with the highest price per unit length each step. However, this approach does not consider the overall optimal solution and may lead to suboptimal results.

A counterexample can be demonstrated with the following scenario: Suppose we have a rod of length 8 and the price table as follows: length 1 has a price of 5, length 2 has a price of 10, length 3 has a price of 25, and length 4 has prUsing the greedy strategy, the algorithm will first select length 4 as it has the highest price per unit length. It will then be left with a rod of length 4. The next selection will be length 2, followed by length 1, resulting in a total price of 65.However, the optimal solution in this case would be to cut the rod into two pieces of length 4, yielding a total price of 60.Thus, the greedy strategy fails to provide the best results for the for the rod-cutting problem in all cases.

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Related Questions

After sending a business e-mail, how long should you generally wait before following up for a response? Select one.

Question 7 options:

It’s never good etiquette to follow up

End of business day

24 hours

48 hours

Answers

After sending a business email, we have to wait for : End of business day.

After sending a business email, it is generally considered appropriate to wait until the end of the business day before following up for a response. This allows the recipient sufficient time to review their emails and respond accordingly. By waiting until the end of the business day, you demonstrate patience and respect for the recipient's schedule and workload.It's important to note that the appropriate timeframe for following up may vary depending on the urgency and nature of the email. If the matter is time-sensitive or requires immediate attention, it may be appropriate to follow up sooner, such as within a few hours or by the next business day.It's worth considering any specific instructions or expectations provided by the recipient or your company's communication protocols. Some organizations may have defined response timeframes or guidelines for follow-ups that you should adhere to.It's essential to strike a balance between being proactive and respectful of the recipient's time and workload when deciding when to follow up on a business email.

The correct option is: End of business day.

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1. A company that produces office organizers is currently utilizing 10 hours per day to complete 90 pcs of the product. Engr Ulymarl, the senior process engineer proposes to do minor change in the process flow to avoid redundancy. By doing this, the output increased to 110 pcs. The material cost per organizer is BD 5; additional supplies needed to complete the organizer cost BD 1.50 and labor is paid at the rate of BD 2.5 per hour, energy cost is assumed to be BD 1.5 while water cost is at BD 1.75. a. Is there any improvement in productivity with the changes that have been implemented by the process engineer? b. Prove your answer though presenting the labor productivity, multifactor productivity and productivity improvement. c. What is your conclusion on the action done by Engr Ulymarl ?

Answers

a. Yes, there is an improvement in productivity as the output increased from 90 to 110 pcs.

b. Labor Productivity: 11 pcs/hour. Multifactor Productivity: 0.88 pcs/(BD 11.75) per day. Productivity Improvement: 22.2% increase.

c. Engr Ulymarl's action improved productivity by increasing output per hour and overall efficiency, leading to positive results and potentially better profitability.

a. Yes, there is an improvement in productivity with the changes implemented by the process engineer. The output increased from 90 to 110 pcs, indicating higher productivity.

b. To prove the improvement in productivity, we can calculate the following metrics:

Labor Productivity: Divide the output (110 pcs) by the labor hours (10 hours) to obtain the labor productivity per hour .

Labor Productivity = Output / Labor Hours

Multifactor Productivity: Sum up the costs of materials, additional supplies, labor, energy, and water, and divide the output (110 pcs) by the total cost to calculate the multifactor productivity.

Multifactor Productivity = Output / (Material Cost + Additional Supplies.

Cost + Labor Cost + Energy Cost + Water Cost)

Productivity Improvement: Compare the initial and improved productivity measures to determine the percentage increase.

Productivity Improvement = ((Improved Productivity - Initial

roductivity) / Initial Productivity) * 100

c. Engr Ulymarl's action resulted in a significant improvement in productivity. The increased output per hour of labor indicates higher efficiency. The labor productivity, multifactor productivity, and productivity improvement calculations would provide concrete evidence of the positive impact of the process flow changes. The proposed actions by Engr Ulymarl have successfully enhanced productivity, leading to better output and potentially higher profitability for the company.

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