Determine the optimal quantity , Operation Management

Assignment Help:

Suppose you are overseeing the purchasing of a certain commodity for the following year. The demand for this item is estimated to be 20,000 units/year, and steady throughout. Every time you process and receive a shipment of this commodity, you incur a cost of $800. Finally, the cost to keep one item in inventory is $3.00 annually.

Ordinarily, cost per unit is $18. However, if you purchase 10,000 or more in a delivered lot, the cost drops to $17.50 each.

(a.) Determine the optimal quantity of this commodity to be purchased in each lot. (Write down the relevant figures that enable you (and POM-QM) to choose.)

(b.) Consider the lot of 10,000 items (regardless of whether you chose this policy). By how much does the inventory cost of this policy differ from that of the other candidate policy? (Specify the relevant costs.)

(c.) Suppose you could lease, for free, superior forklift equipment that would drop the ordering cost to $100 for each delivered lot. Would this reduction cause you to change your optimal policy? Why or why not (write down the results)? How much money will this save you annually?

(d.) These days, third party logistics (3PL) are all the rage. With 3PL, other firms are subcontracted to carry out some or all of the inventory function. Suppose the supplier offers such a service to you. Their idea is to hold inventory for you; this will reduce both your ordering costs and your holding costs.

Specifically, you still pay for the goods when a lot is purchased but you do not actually stock the items in large quantities. Suppose this convenience reduces the holding cost to $1.50 per item per year (instead of $3). Additionally, your warehouse space, equipment and operators are not tied up because only small quantities are released to you. Suppose, then, that because of this the ordering cost for the small size "releases" is just $5 (instead of $800).

There is a catch to all of the above savings. To provide this service, your supplier will charge you the increased price of $18.50 per item. No quantity discounts apply. (Your demand is still 20,000/year.)

FIND: In this new regime, figure out what the optimal policy is and its associated cost (write them down!). Is this a better deal for your company than the policy in part (a.)?

(e.) Thus far, we have assumed that the demand of 20,000 units/year is steady over time. Now suppose that the demand varies. Specifically, suppose that the lead time (LT) to receive this product is 5 working days (assume 250 working days to the year). This implies that the demand during LT averages 400 units. Additionally, suppose that the standard deviation of demand during LT is 100 units.

FIND: How much safety stock will you need to meet a 99% service level? What will the annual cost of providing this additional stock? [NOTE: please work with the original problem description, NOT the modifications in (c.) and (d.).]


Related Discussions:- Determine the optimal quantity

Scope of operational research and scope of financial managem, scope of oper...

scope of operation research & Scope of Financial management

Explain quality characteristic under study takes, Suppose that the specific...

Suppose that the specifications for a part (in inches) are 6.00 ± 0.15, and that the taguchi loss function is estimated to be l(x) = 6,500(x-t)(squared). Determine the estimated lo

Explain what is statistical process control, What is Statistical Process Co...

What is Statistical Process Control? What are the advantages and disadvantages of SPC? Identify two or three applications in your organization that could benefit from Statistical P

Define what is the sample value of the test statistic, 1. The average laten...

1. The average lateness for one of the top airline companies is 10 minutes. The Standard Deviation of the lateness measure is calculated as 3. An airplane arrived 8.5 minutes after

Describe how current laws regarding search and seizure, Discuss how current...

Discuss how current laws regarding search and seizure have the potential to violate the Fourth Amendment. In your response, provide specific examples of how this violation may occu

What kind of financial ratio might provide insight, Mary Ann has always lov...

Mary Ann has always loved to cook and is interested in starting a catering business. Being aware of the failure rate of new businesses, she is considering buying an existing cateri

She is liable then provide and explanation of the amount., Brittany current...

Brittany currently attends college and runs her new business, Pampered Pets, a sole proprietorship she created in her sophomore year. Since Brittany is a student, she does not have

Explain what suggestions for improvement, You are the contracting officer's...

You are the contracting officer's representative (COR) of a program management support contract awarded to Easy Corp. It is the first year of a five-year contract. You have noti

What decision management business intelligence missing piece, Please read t...

Please read through the question, then answer each item of my question to get full points. Review the following short article by visiting the link below then answer the question

Explain stakeholder relationships and social responsibility, Watch this Vid...

Watch this Video "Blue jean waste". Describe your reaction to this video and how you would respond if you were a leader of one of the corporations involved. In your journal entry

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd