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Ray鈥檚 Satellite Emporium wishes to determine the best order size for its best-selling satellite dish (model TS111). Ray has estimated the annual demand for this model at 1,000 units. His cost to carry one unit is \(100 per year per unit, and he has estimated that each order costs \)25 to place. Using the EOQ model, how many should Ray order each time?

Short Answer

Expert verified

Answer

The term "economic order quantity" (EOQ) refers to the optimal amount of an item that should be ordered at any one moment to reduce the total annual cost of transporting and ordering that item. The optimal lot size is another name for EOQ.

Step by step solution

01

Ray’s Satellite Emporium wishes to determine the best order size for its best-selling satellite dish

The manager is the one who is responsible for everything that happens in the company. It began with planning and progressed to regulating everything tomaintain production, quality, and cost while effectively utilizing all resources. The Economic Order Quantity is a fixed point meant to assist businesses in lowering the cost of purchasing and storing inventory.

Inventory is a balance-sheet current asset account that includes all raw materials, work-in-progress, and finished commodities that a firm has amassed. There are essentially two methods for implementing EOQ. Both ways, of course, need that you have previously calculated the corresponding expenditures.

Set up your formula in a spreadsheet application, manually compute EOQ one item at a time, and then manually enter the order quantity into your inventory system.

02

Ray’s order each time

Given,

Annual demand = 1000 units

Carrying cost per unit = 100 per year

Ordering cost per unit = $ 25

Calculation of economic order quantity" (EOQ)

EOQ=2ASHwhere,A=AnnualdemandS=OrderingcostperunitH=Carryingcostperunit

EOQ=2ASH=2100025100=22.36or22units

So, Ray must order 22 units each time.

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Most popular questions from this chapter

Jill鈥檚 Job Shop buys two parts (Tegdiws and Widgets) for use in its production system from two different suppliers. The parts are needed throughout the entire 52-week year. Tegdiws are used at a relatively constant rate and are ordered whenever the remaining quantity drops to the reorder level. Widgets are ordered from a supplier who stops by every three weeks. Data for both products are as follows:

Item

Tegdiws

Widgets

Annual demand

10,000

5,000

Holding cost (% of item cost)

20%

20%

Setup or order cost

\( 150.00

\) 25.00

Lead time

4 weeks

1 week

Safety stock

55 units

5 units

Item cost

\( 10.00

\) 2.00

Annual demand Holding cost (% of item cost) Setup or order cost

a. What is the inventory control system for Tegdiws? That is, what is the reorder quantity and what is the reorder point?

b. What is the inventory control system for Widgets?

We have an item that we stock in our store that has fairly steady demand. Our supplier insists that we buy 1,200 units at a time. The lead time is very short on the item since the supplier is only a few blocks away and we can pick up another 1,200 units when we run out. How many units do you expect to have in inventory on average?

Develop a production plan and calculate the annual cost for a firm whose demand forecast is fall, 10,000; winter, 8,000; spring, 7,000; summer, 12,000. Inventory at the beginning of fall is 500 units. At the beginning of fall, you currently have 30 workers, but you plan to hire temporary workers at the beginning of summer and lay them off at the end of summer. In addition, you have negotiated with the union an option to use the regular workforce on overtime during winter or spring if overtime is necessary to prevent stock-outs at the end of those quarters. Overtime is not available during the fall. Relevant costs are hiring, \(100 for each temp; layoff, \)200 for each worker laid off; inventory holding, \(5 per unit-quarter; backorder, \)10 per unit; straight time, \(5 per hour; over time, \)8 per hour. Assume that the productivity is 0.5 units per worker hour, with eight hours per day and 60 days per season.

Old Pueblo Engineering Contractors create six-month 鈥渞olling鈥 schedules, which are recomputed monthly. For competitive reasons (it would need to divulge proprietary design criteria, methods, and so on), Old Pueblo does not subcontract. Therefore, its only options to meet customer requirements are (1) work on regular time; (2) work overtime, which is limited to 30 percent of the regular time; (3) do customers鈥 work early, which would cost an additional \(5 per hour per month; and (4) perform customers鈥 work late, which would cost an additional \)10 per hour per month penalty, as provided by their contract. Old Pueblo has 25 engineers on its staff at an hourly rate of \(30. The overtime rate is \)45. Customers鈥 hourly requirements for the six months from January to June are

January

February

March

April

May

June

5,000

4,000

6,000

6,000

5,000

4,000

Develop an aggregate plan using a spreadsheet. Assume 20 working days in each month.

Charlie鈥檚 Pizza orders all of its pepperoni, olives, anchovies, and mozzarella cheese to be shipped directly from Italy. An American distributor stops by every four weeks to take orders. Because the orders are shipped directly from Italy, they take three weeks to arrive. Charlie鈥檚 Pizza uses an average of 150 pounds of pepperoni each week, with a standard deviation of 30 pounds. Charlie鈥檚 prides itself on offering only the best quality ingredients and a high level of service, so it wants to ensure a 98 percent probability of not stocking out on pepperoni. Assume that the sales representative just walked in the door and there are currently 500 pounds of pepperoni in the walk-in cooler. How many pounds of pepperoni would you order?

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