The commercial company "A" has an estimated annual demand of 60,000 units with a regularity in its dispatches throughout the year. During the semester, the purchase of lots of 10,000 units has been registered at a unit price of S/.8 .00 including transportation and the investment in safety stock is S/.20,000.

Calculate how much it costs them to maintain these stock levels per year, given that the annual opportunity cost for the company is 30% and the annual percentage in losses and shrinkage is approximately 3%,

Calculate the static average inventory and how much it costs them to maintain those inventory levels.

 

33) A wholesale distributor purchases his most profitable product at S/.95.00 and whose weight is 2 kgs. In its last semi-annual report, it records a demand for 4,800 units with a daily sales trend without marked "peaks or valleys". You have closed a transportation cost of S/.2.50 /kg with your carrier and you estimate that your ordering cost is S/.40.00 for each event. According to its financial area, the company's cost of capital is 21% and the cost of shrinkage and obsolescence is 4%, both in an annual period and applied to the unit value of the inventory. Calculate the optimal purchase lot and the total cost of each order.

 34) A retailer uses the continuous inventory control system. For the last quarter, a sale of 420 boxes of its "Greenly" product has been projected. In a recent review, it has been detected that the annual cost of maintaining inventories from S/.1.80 to S/.1.20 per unit was underestimated. If the unit acquisition cost is S/.2.00 and the issuance of the order is S/.20.00. What cost has this ruling meant for the retailer?

 

35) A manufacturing company acquires for US$ 250.00 per unit, an electronic component that is part of several lines of devices, while it markets said component as a spare part. You have budgeted for the next semester an annual cost of US$1,200 in maintaining stocks and you estimate that each order will cost you US$60.00. If annual expected annual sales are 2,000 units and the control system is continuous (fixed-quantity, fixed-point model):

               - How many sales orders does the company expect to process?

               - What will be the total inventory management cost of this product?

a standard deviation of 22 units is observed . The company has a policy of a 91% NSC and wants to maintain it knowing that its supplier regularly delivers within a week.

The operations area needs to determine what additional quantity of the product must be maintained to ensure the aforementioned level of service.

 37) A paint distributor estimates an average annual demand of 4,000 kgs with a standard deviation of 250 kgs and with an acquisition cost of S/.10.00. You know that the delivery time of your suppliers is a couple of days and that in their activities they consider 20 business days per month.

It is known that the monthly storage cost is S/.2.00/kg, the order issue is S/.12.00 and that it is considered acceptable that a maximum of 8% cannot meet the demand during the term delivery.

• How much paint should he order each time according to a continuous inventory review policy (fixed lot and fixed order point) if he plans quarterly?
• What should the reorder point be?
• To get the proper NSC, will it be enough to keep additional kgs to the cycle stock? What NSC would be obtained if so?

38) A deli sells cans of toffee or uses a periodic review system checking its inventory every 10 days after which it places an order. Your suppliers have shown great regularity and supply you within 3 days. It is known that on average they sell 7 cans daily and they have calculated that the standard deviation is 17 cans. Calculate the maximum restocking level if management maintains a 90% NSC

 39) From the previous problem, suppose that the standard deviation of the demand falls to only 4 cans. What happens to the maximum restocking level? explain why

 40) An office supply wholesaler sells small and very light video projectors. You want to establish your optimal order size, and you know that your average annual demand is 500u and your acquisition cost is $200, your holding cost is 25%, and you incur $60 each time you order.

How many orders do you estimate you will place annually to minimize your total cost of inventory?

If your supplier's lead time is 15 days, how many units in inventory will be needed to meet demand during this time?

 41) In the previous case, the inventory policy has been determined according to demand estimates. However, the company has suffered the loss of customers as a result of the inventory deficit and it is decided to maintain a number of additional units. Taking into account that the supply time is 15 days and assuming that the annual demand is normally distributed with a standard deviation of 6 u:

How many additional units, at a minimum, must be kept in inventory if at least 90% is to be met during the supply time?

How many units will you need to order each time, and when will you place the orders?

What will be the annual cost of inventory?

 42) A high-tech oil manufacturer with an estimated daily production of 75 liters has a market that demands 15,000 liters annually. It is known that the annual storage cost is US$12 per liter and the cost of preparing the machines is US460. Taking into account that production of a product is started only when necessary and that inventories are planned annually, calculate what the production order quantity will be and determine the expected number of orders per period.

 43) Indicate with a T the option(s) that you consider to be correct and with F the incorrect one(s):

A.- The centralization of stores depends on the analysis of the demand that each of them satisfy, although it is enough that they can be classified as normal variable behavior to be able to centralize ( )

B.- The Risk Pooling effect deals with how the cost of transportation is affected when storage points are consolidated in the logistics network( )

C.- When warehouses are centralized, the cost of primary transportation is reduced and that of delivery transportation is increased ( )

D.- When the warehouses are centralized, the cost of total transportation increases but the cost of maintaining inventories is reduced ( )

E.- None of the above options is correct ( )

 44) A company is evaluating the number and location of its warehouses for a better fit between O/D and the costs of the logistics system. Please outline in detail how you would plan to make the diagnosis and what type of trade off would need to be evaluated.

 45) A seller of current affairs magazines must estimate the number of copies that he will order from a cheap magazine that will just go on sale next week. Based on his experience with similar journals, he estimates an expected mean of 50 and a standard deviation of 10 units. Each magazine supplied by the publishing house costs 4 soles and the seller will offer it for 7 soles. Being a new release, the editor has offered to recognize 2 soles for each leftover magazine.

- How many copies should you buy in order to maximize your profits?

How much is the expected profit?

- If the seller wishes to ensure that he sells to 80% of the customers who request a copy, will he see his expected profit increase or decrease? As soon as?