oducing any number of boxes of a particular size. If the company desires, isfied by a box of larger size. nd Box 1 33 400 2 30 300 3 26 500 4 24 700 5 19 200 6 18 400 7 17 200 shortest-path problem whose solution will minimize the cost of meeting t nd then solve it.
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- A company is planning to purchase 10,000 units of a particular item in the year ahead. The item is purchased in boxes each containing 10 units of the item, at a price of €400 per box. The cost of holding an item in inventory for a year (including insurance, interest and space costs) is 10% of the purchase price. The cost of placing and receiving orders is to be estimated from cost data collected relating to similar orders, where costs of €7,000 were incurred on 25 orders. It should be assumed that ordering costs change in proportion to the number of orders placed. 5% should be added to the above ordering costs to allow for inflation. Assume that usage of the item will be even over the year. Required: (a) Calculate the economic order quantity (EOQ) in boxes which minimises total costs (b) Outline when and why it is appropriate to use economic batch quantity (EBQ)A firm faces a demand of 40,000 units per month for one of its lines of stock. The firm’s cost of holding stock is £2 per unit of average stock per month, and it costs the firm a total of £100 every time it orders and acquires a new shipment of stock. The firm is willing to face stock-outs and the cost of such is £6 per unit of average stock-out per month. Assuming the firm attempts to minimise overall inventory-related costs, how large (approximately) will the firm allow its stock-outs to become before each new stock delivery arrives? A. 782 units B. 577 units C. 904 units D. 981 units * Explain in full detailA firm faces a demand of 40,000 units per month for one of its lines of stock. The firm's cost of holding stock is £2 per unit of average stock per month, and it costs the firm a total of £100 every time it orders and acquires a new shipment of stock. The firm is willing to face stock-outs and the cost of such is £6 per unit of average stock-out per month. Assuming the firm attempts to minimise overall inventory-related costs, how large (approximately) will the firm allow its stock- outs to become before each new stock delivery arrives? a. 577 units b. 981 units C. 782 units d. 904 units
- A manufacturer has a production facility that requires 15,604 units of component JY21 per year. Following a long-term contract, the manufacturer purchases component JY21 from a supplier with a lead time of 7 days. The unit purchase cost is $25.6 per unit. The cost to place and process an order from the supplier is $121 per order. The unit inventory carrying cost per year is 10.5 percent of the unit purchase cost. The manufacturer operates 250 days a year. Assume EOQ model is appropriate. If the manufacturer uses a constant order quantity of 2,640 units per order, what is the annual holding cost? Use at least 4 decimal places.The local supermarket buys lettuce each day to ensure very fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $4 a box. The lettuce is sold for $10 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. Past history says that tomorrow’s demand for lettuce averages 250 boxes, with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow?Bernie’s Bike Shop receives the following trade discounts: 20/15/15. The vendor’s price list indicates that 20 percent off list price is for purchasing bikes in quantities of 100 or more, 15 percent off list price is for assembling the bikes for customers, and 15 percent is for sales promotion and local advertising. If the manufacturer’s list price is $550, what should Bernie pay for each bike if he orders 110 bikes at a time, assembles the bikes, and displays and advertises them?
- Three years ago, Barbara Jones started a business that creates and delivers holiday and birthday gift baskets to students at the local university. Barbara sells the baskets for $ 29 each, and her variable costs are $ 19 per basket. She incurs $ 12,500 in fixed costs each year. Last year, Barbara sold 4,000 baskets, and she believes that demand this year will be stable at 4,000 baskets. The following are the actions Barbara could take if she wants to earn $ 30,900 in operating income by selling only 4,000 baskets. Consider each action independently. (Round per unit answers to 2 decimal places, e.g. 52.75 and fixed cost to 0 decimal places, e.g. 5,275.) Raise selling price per unit to? Reduce variable costs per unit to? Reduce fixed costs to?Bold Vision, Inc., must purchase toner from a local supplier. The company does not wish to carry raw material inventory and therefore only purchases enough toner to satisfy the demand of each individual batch of cartridges. Each toner cartridge requires one pound of toner. The raw material supplier offers Bold Vision a purchase discount of $2.00 per pound if the company orders at least 2,000 pounds at a time. Should Bold Vision accept this offer and alter its toner purchase quantity?The village board of Park City, Utah, arranges for the clearing of all snow in city streets. Weekly snowfall during the winter is normally distributed with a mean of 10 inches and a standard deviation of 4 inches. The board is considering a long term contract with a snow removal company. The long- term contract costs $1000 per truck per week. Thus, if the board signs a long-term contract for 12 inches, they pay $12,000 per week whether the trucks are used or not. Each truck is capable of clearing 1 inch of snow per week. If snowfall in a week exceeds the quantity that can be handled by the trucks included in the long term lease, the board must make emergency arrangements at a cost of $2,500 for each additional truck brought in. For how many trucks should the board sign a long term contract?
- You are the buyer for a major U.S. health care company. As buyer, your job is to procure and buy parts for the production of X-Ray machines. The buyer from your sister plant in Paris, France has contacted you to supply them with 5 center sections, (a major component used in the X-Ray tube), because they will run out of these parts within 3 days. The center section is procured from a single source supplier in England, weighs approximately 40 pounds, is made of lead and has a 6-week lead time, (the time your supplier requires to manufacture the center section). Based on this criterion, answer the following questions: What mode of transportation is appropriate for shipping this part to Paris, France? What carrier will you use? Which carrier offers the best value?Suppose that a firm has the option to make or buy a part. Its annual requirement is 11,000 units. A supplier is able to supply the part at $6 per unit. The firm estimates that it costs $800 to prepare the contract with the supplier. To make the part, the firm must invest $29,000 in equipment, and the firm estimates that it costs $3 per unit to make the part. COSTS MAKE OPTION BUY OPTION Fixed Cost $29,000 $800 Variable Cost $3 $6 Annual Requirement = 11,000 units 1. What is the break-even point? Round your answer to the nearest whole number. 2. What is the total cost at the break-even point? Round your answer to the nearest dollar. 3. What is the total cost for the make option? Round your answer to the nearest dollar.Boston Company use a special part in manufacturing of its finished products. The unit cost thisspecial part is $ 35, and details of its manufacturing cost is as follows. The $35 unit productcost of this part is based on average 25,000 number of parts produced each year.An outside supplier has offered to supply the 25,000 parts at a cost of $30 per part. The specialequipment used to manufacture the above part. This equipment can only be used formanufacturing of this part and if not used it has no resale value.The total amount of general factory overhead, which is allocated based on direct labor-hours,would be unaffected by this decision because it is fixed cost..Suggest the management whether to stop producing internally and buy them from theoutside supplier?Description CAD Direct Materials 10Direct Labor 6Variable overheads…