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It's a Dog's World (IDW) makes toys for big breed puppies. IDW's managers have recently learned that they can calculate the average waiting time for an order from the time an order is received till the time manufacturing starts. They have asked for your help and have provided the following information. Expected number of orders for the product: 3,200 Manufacturing time per order: 5 hours Annual machine capacity in hours: 18,000 1\. Calculate the average waiting time per order. 2\. After learning about the average waiting time, IDW's managers are confused. They do not understand why, if annual machine capacity is greater than the average number of orders for the product, there would be any waiting time at all. Write a memo to clarify the situation. 3\. The managers have asked for your suggestions on what they can do to minimize or eliminate waiting time. How would you respond?

Short Answer

Expert verified
The average waiting time per order is -0.625 hours, indicating no waiting time as negative values are not applicable. This is because the total manufacturing time for all orders (16,000 hours) is less than the annual machine capacity (18,000 hours). Thus, there is no need to take actions to minimize or eliminate waiting time. However, suggestions to maintain efficient processes include monitoring and maintaining machines, scheduling production strategically, and continuously working on process improvements and employee training.

Step by step solution

01

Calculate the total manufacturing time required for all orders

To calculate the total manufacturing time, we'll multiply the expected number of orders by the manufacturing time per order: \( \text{Total manufacturing time} = \text{Number of orders} \times \text{Manufacturing time per order} \) Total manufacturing time = \( 3,200 \times 5 = 16,000 \) hours
02

Calculate the average waiting time per order

Now, we'll calculate the average waiting time per order using the following formula: \(\text{Average waiting time per order} = \frac{\text{Total manufacturing time - Annual machine capacity}}{\text{Expected number of orders}}\) Plug in the values and we get: Average waiting time per order \(= \frac{16,000 - 18,000}{3,200} = -\frac{2,000}{3,200} = -0.625\) hours Since we have a negative value, it means that there is no average waiting time per order given the provided conditions. In fact, there is excess capacity to handle more orders.
03

Write a memo to clarify the situation

To the Managers of It's a Dog's World, Re: Average Waiting Time and Machine Capacity Dear Managers, I have calculated that the average waiting time per order for your big breed puppy toys is -0.625 hours, indicating zero waiting time as we cannot have a negative waiting time. This may seem confusing when considering that the annual machine capacity is greater than the average number of orders. The reason for no waiting time is because the manufacturing time for all orders is less than the annual machine capacity, meaning that the machines can work on the product orders immediately as they come in and even have the capacity to handle more orders. In summary, the current capacity of your machines is more than enough to accommodate the expected number of orders without any waiting time. Best regards, [Your Name]
04

Offer suggestions to minimize or eliminate waiting time

Given that there is no waiting time under the current conditions, it's not necessary to take actions to minimize or eliminate waiting time. However, to ensure that the machines continue to efficiently handle the orders without creating waiting time, the following actions can be considered: 1. Regularly monitor and maintain the machines to prevent unexpected breakdowns and downtimes. 2. Schedule production in an organized way, prioritizing urgent orders and utilizing any available extra capacity during peak demand periods. 3. Keep an eye on the market trends and demands for the product in order to adjust the manufacturing capacity accordingly, either by increasing production during high demand periods or reducing it during low demand periods. 4. Continuously work on process improvements and automation to minimize product manufacturing time, which could further help in eliminating or maintaining zero waiting time. 5. Train and educate the employees on efficient work practices, avoiding delays and striving to enhance productivity. As long as the workload remains below or within the machine's annual capacity, there should be no waiting time for customers' orders. Best regards, [Your Name]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Capacity Planning
Capacity planning is about aligning resources to meet production needs. In IDW's case, this involves understanding both the demand for their toys and their manufacturing capabilities.
Companies need to know their machine capacity, human resources, and operational hours. Balancing these factors ensures that the machinery does not become a bottleneck in production.
IDW has a solid plan since their annual machine capacity of 18,000 hours exceeds the manufacturing needs of 16,000 hours for 3,200 orders. This excess capacity indicates they are well-prepared to cope with the current demand scale without leading to delays.
A well-thought-out capacity plan safeguards against unexpected surges in demand and helps maintain a smooth flow of operations.
Waiting Time Calculation
Waiting time, in manufacturing, reflects the delay between an order being placed and its production commencement. It's crucial as it affects customer satisfaction and operational efficiency.
The formula for waiting time used here is:\[\text{Average waiting time per order} = \frac{\text{Total manufacturing time} - \text{Annual machine capacity}}{\text{Expected number of orders}} \]
In IDW's situation, there was initially a misconception about waiting time. Calculations revealed a negative wait time of -0.625 hours, which essentially means an immediate start or even potential to manage more orders.
This result is reassuring, demonstrating that IDW's manufacturing processes are effectively aligned with their order intake.
Production Scheduling
Production scheduling is about determining the optimal sequence of production activities to maximize efficiency and productivity.
For IDW, scheduling involves planning their operations over the year to best distribute workload across their 18,000 machine hours.
Effective scheduling ensures that each order proceeds smoothly, reducing downtime and optimizing how each machine is used.
Considering no current waiting time exists, IDW could focus scheduling attention on planning for variances in demand, accommodating any potential peaks by rescheduling less urgent orders during off-peak times.
Improved scheduling practices can help leverage their current excess capacity to handle unexpected demand increases without hassle.
Process Improvement
Process improvement aims at refining production cycles to boost efficiency and productivity. Continuous process evaluation and enhancement can dramatically impact cost, time, and output quality.
Even though IDW currently has no waiting time, looking at process improvement initiatives offers numerous advantages. Here are some ways IDW could enhance their processes:
  • Implementing predictive maintenance to avoid unexpected machine downtimes.
  • Streamlining production steps to reduce unnecessary tasks and ensure a quicker manufacturing rate.
  • Upgrading to more advanced machinery or technology where feasible to enhance production capability.
  • Regularly training staff in new technologies and methods to cultivate a culture of continuous improvement.
By continually improving, IDW can protect against any future increase in demand impacting their capability to deliver promptly.

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Most popular questions from this chapter

Six Sigma is a continuous quality improvement methodology that is designed to promote: 1\. Improvements for existing products and business processes. 2\. Development of new products or business processes. 3\. Both existing product/process improvement and new product process development. 4\. Statistical evaluation of critical success factors.

The Tristan Corporation sells 250,000 V262 valves to the automobile and truck industry. Tristan has a capacity of 150,000 machine-hours and can produce two valves per machine-hour. V262's contribution margin per unit is 7. Tristan sells only 250,000 valves because 50,000 valves (20% of the good valves need to be reworked. It takes 1machine-hour to rework two valves, so 25,000 hours of capacity are used in the rework process. Tristan's rework costs are 550,000 dollar Rework costs consist of the following: Direct materials and direct rework labor (variable costs): 5 dollar per unit Fixed costs of equipment, rent, and overhead allocation: 6 dollar per unit Tristan's process designers have developed a modification that would maintain the speed of the process and ensure 100% quality and no rework. The new process would cost 538,000 dollar per year. The following additional information is available: The demand for Tristan's V262 valves is 400,000 per year. The Colton Corporation has asked Tristan to supply 27,000 T971 valves (another product) if Tristan implements the new design. The contribution margin per \(\mathrm{T} 971\) valve is \(\$ 12 .\) Tristan can make one \(\mathrm{T} 971\) valve per machine-hour with \(100 \%\) quality and no rework. 1\. Suppose Tristan's designers implement the new design. Should Tristan accept Colton's order for 27,000 T971 valves? Show your calculations. 2\. Should Tristan implement the new design? Show your calculations. 3\. What nonfinancial and qualitative factors should Tristan consider in deciding whether to implement the new design?

How does conformance quality differ from design quality? Explain.

Dover Corporation makes printed cloth in two departments: weaving and printing. Currently, all product first moves through the weaving department and then through the printing department before it is sold to retail distributors for 2,800 dollar per roll. Dover provides the following information: Dover can start only 20,000 rolls of cloth in the weaving department because of capacity constraints of the weaving machines. Of the 20,000 rolls of cloth started in the weaving department, 1,000 (5\%) defective rolls are scrapped at zero net disposal value. The good rolls from the weaving department (called gray cloth) are sent to the printing department. 0 f the 19,000 good rolls started at the printing operation, 1,900 dollar (10 %)defec. tive rolls are scrapped atzero net disposal value. The Dover Corporation's total monthly sales of printed cloth equal the printing department's output 1\. The printing department tis considering buying 10,000 additional rolls of gray cloth from an outside sup plier at $2,000 dollar per roll, which is much higher than Dover's cost of weaving the roll. The printing depart ment expects that 10 % of the rolls obtained from the outside supplier will result in defective products Should the printing department buy the gray cloth from the outside supplier? Show your calculations 2\. Dover's engineers have developed a method that would lower the printing department's rate of defective products to 6 % at the printing operation. Implementing the new method would cost 1,400,000 dollar per month. Should Dover implement the change? Show your calculations. 3\. The design engineering team has proposed a modification that would lower the weaving departments's rate of defective products to 3\%. The modification would cost the company 700,000 dollar per month. Should Dover implement the change? Show your calculations

Describe two benefits of improving quality.

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