9. A cement manufacturing company will produce 24 tons per week. The demand for the cement is6 tons per week. The company incurs a set cost of 10, 000 SAR in labor and production. Cost ofcement per ton is 3000 SAR and the holding cost is 20 percent. What is the optimal productionbatch size for I-beams? What is the annual setup cost of the optimal policy? What is the annualholding cost? What is the total annual cost? (Write the formulae).

Given data Weekly production = 24 tons per week Daily production(p) p=24/7p=3.42 tons Annual…

Answered: A cement manufacturing company will…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...

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HAL Ltd. produces a line of high-capacity disk drives for computers. The housings for the drives are produced in Hamilton, Ontario at a rate of 250 housings per month, and shipped to the main plant in Toronto. The housings cost HAL $100 each to produce, and the setup cost for beginning a production run is $500. HAL uses the drive housings at a fairly steady rate of 1400 per year. Assume an annual interest rate of 25% for determining the holding cost. What is the optimal number of housings for HAL to produce in each production run? For the optimal production size, what proportion of each production cycle consists of uptime and what proportion consists of downtime? Assuming that HAL produces the optimal number of housings in each production run, what is the maximum on-hand inventory level of these housings? What is the annual cost of holding and setup?
Berry Computer is considering moving some of its operations overseas in order to reduce labor costs. In the United States, its main circuit board costs Berry $75 per unit to produce, while overseas it costs only $65 to produce. Holding costs are based on a 20 percent annual interest rate, and the demand has been a fairly steady 200 units per week. Assume that setup costs are $200 both locally and overseas. Production lead times are one month locally and six months overseas.a. Determine the average annual costs of production, holding, and setup at each location, assuming that an optimal solution is employed in each case. Based on these results only, which location is preferable?b. Determine the value of the pipeline inventory in each case. (The pipeline inventory is the inventory on order.) Does comparison of the pipeline inventories alter the conclusion reached in part (a)?c. Might considerations other than cost favor local over overseas production?
Letherin Hides is a company that makes boots specifically targeting college students. Forecasts of sales for the next year are 200 in the summer, 450 in the fall, and 500 in the winter. Accessories that are used on the boots are purchased from a supplier for $31.66. The cost of capital is estimated to be 24% per year (or 6% per quarter); thus, the holding cost per item is 0.06(31.66)=$1.9 per quarter (rounded figure). Letherin Hides hires freelance art designers at part-time to craft designs during the summer, and they earn $6.00 per hour. In the fall, labor is more difficult to keep, and the owner must pay $6.50 per hour to retain qualified help. Because of the high demand for part-time help during the winter holiday season, labor rates are higher in the winter, and workers earn $7.75 per hour. Each boot design takes 2 hours to complete. How should production be planned over the three quarters to minimize the combined production and inventory holding costs? The table below provides…
ABC firm uses roughly 3,400 pounds of chemical dye a year. Currently, the firm purchases 300 pounds per order and pays P120.00 per pound. The supplier has just announced that orders of 1,000 pounds or more will be filled at a price of P80.00 per pound. The manufacturing firm incurs a cost of P4,000.00 each time it submits an order and assigns an annual holding cost of 17% of the purchase price per pound. a. Determine the order size that will minimize the total cost.b. If the supplier offered the discount at 1,500 pounds instead of 1,000 pounds, what order size would minimize total cost?
For one of the quick selling portable smoothie machines (model G), the Long Last Appliance Store needs 1,300 pieces a month and each time a shipment is shipped, it has a set order placement, transportation and delivery costs for $3,000. Each computer costs the corporation $550 and its holding costs are 12 percent. The business has two other smoothie machine versions that are both common with customers. Assess the company's material control strategy whether lots are purchased and separately shipped for each model by deciding the following: The best order size The cycle inventory The volume of orders annually The monthly buying and maintenance costs The average inventory expense Short state reasoning for the strategy (a-e)
Lia ITZY has determined that the annual demand for number 6 screws is 100,000 screws. Lia, who works in her brother’s hardware store, is in charge of purchasing. She estimates that it costs $10 every time an order is placed. This cost includes her wages, the cost of the forms used in placing the order, and so on. Furthermore, she estimates that the cost of carrying one screw in inventory for a year is one-half of 1 cent. Assume that the demand is constant throughout the year. QUESTION: How many number 6 screws should Lia order at a time if she wishes to minimize total inventory cost?
Lia ITZY has determined that the annual demand for number 6 screws is 100,000 screws. Lia, who works in her brother’s hardware store, is in charge of purchasing. She estimates that it costs $10 every time an order is placed. This cost includes her wages, the cost of the forms used in placing the order, and so on. Furthermore, she estimates that the cost of carrying one screw in inventory for a year is one-half of 1 cent. Assume that the demand is constant throughout the year. QUESTION: How many orders per year would be placed? What would the annual ordering cost be?
A company is planning for its financing needs and uses the basic fixed-order quantity inventory model. Which of the following is the total cost (TC) of the inventory given an annual demand of 10,000, setup cost of $32, a holding cost per unit per year of $4, an EOQ of 400 units, and a cost per unit of inventory of $150?
A manufacturing company produces furniture products. The company operates 300 working-day per year. It has orders for about 12,000 products per year. Its factory has the capability of producing 100 per day. Setting up the product production costs SR 50 The cost of each furniture product is SR 1 The holding cost is SR 0.10 per product per year. What is the optimal size of the production run?
A local machine shop buys hex nuts and molly screws from the same supplier. The hex nuts cost 15 cents each and the molly screws cost 38 cents each. A setup cost of $100 is assumed for all orders. This includes the cost of tracking and receiving the orders. Holding costs are based on a 25 percent annual interest rate. The shop uses an average of 20,000 hex nuts and 14,000 molly screws annually.a. Determine the optimal size of the orders of hex nuts and molly screws, and the optimal time between placement of orders of these two items.b. If both items are ordered and received simultaneously, the setup cost of $100 applies to the combined order. Compare the average annual cost of holding and setup if these items are ordered separately; if they are both ordered when the hex nuts would normally be ordered; and if they are both ordered when the molly screws would normally be ordered.
Parasol Systems sells motherboards for personal computers. For quantities upthrough 25, the firm charges $350 per board; for quantities between 26 and 50,it charges $315 for each board purchased beyond 25; and it charges $285 eachfor the additional quantities over 50. A large communications firm expects torequire these motherboards for the next 10 years at a rate of at least 140 peryear. Order setup costs are $30 and holding costs are based on an 18 percentannual interest rate. What should be the size of the standing order?
Consider the coffeehouse discussed below. Suppose that its setup cost for ordering was really only $15. Determine the error made in calculating the annual cost of holding and setup incurred as a result of its using the wrong value of K. (Note that this implies that its current order policy is suboptimal.) A specialty coffeehouse sells Colombian coffee at a fairly steady rate of 280 pounds annually. The beans are purchased from a local supplier for $2.40 per pound. The coffeehouse estimates that it costs $45 in paperwork and labor to place an order for the coffee, and holding costs are based on a 20 percent annual interest rate.

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