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a)
To explain: The reason why
Inventory and supply chain models:
The functions of inventory and supply chain are one of the most important business decision areas for an organization. The first important aspect of these concepts is to have adequate inventory on hand. The second important aspect is to carry a little amount of inventory as possible.
b)
To explain: The reason why the optimal order quantity must be
c)
To explain: The reason why the optimal order quantity must be
d)
To explain: The reason why the optimal order quantity must be
e)
To explain: The reason why the optimal order quantity must be
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Chapter 12 Solutions
Practical Management Science, Loose-leaf Version
- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.arrow_forwardA food processor purchases corn for use in its products. The firm uses 700 pounds of corn per week and purchases corn for $0.45 per pound from a supplier. The cost to hold one pound of corn in inventory for one year is $0.09. Each time the firm orders corn from the supplier, the firm must pay a $48 order processing charge. Assume there are 52 weeks in a year and round your answer to the nearest integer value. What is the optimal order quantity (in pounds)? poundsarrow_forwardThe materials manager of a tire manfacturer must predict periodically place order for a key chemical one of the raw materials used in manufacturing uses the chemical at a rate of 300lbs each week and the lead time of delivery is 4 days. Assume that the manufacturing operation runs 5 days a week. At what point should the chemical be reorderedd a. when 1200lbs are remaining b. where 0lbs are remaining c. where 375lbs are remaining d. when 240lbs are remarrow_forward
- An online retailer sells 1,500 t-shirts per year. The cost of the t-shirts to the store is $3.00 and the cost of placing an order is $15 per order. It cost $0.60 per t-shirt per year for the retailer to hold the t-shirts. The retailer sells the t-shirts for $9.99. Determine (a) the optimal order quantity, (b) the order frequency (c) the annual holding and setup cost.arrow_forwarda supermarket expects to sell 1000 boxes of sugar in a year. each box costs $2 and there is a fixed delivery charge of $20 per order. if it costs $1 to store a box for a year, what is the order size and how many times a year should orders be placed to minimize inventory costs?arrow_forwardModels of inventory systems frequently consider the relationships among a beginning inventory,a production quantity, a demand or sales, and an ending inventory. For a givenproduction period j, letsj-1 = ending inventory from the previous period (beginning inventory for period j)xj = production quantity in period jdj = demand in period jsj = ending inventory for period ja. Write the mathematical relationship or model that shows ending inventory as a functionof beginning inventory, production, and demand.b. What constraint should be added if production capacity for period j is given by Cj?c. What constraint should be added if inventory requirements for period j mandate anending inventory of at least Ij?arrow_forward
- The reorder point is defined as the lead-time demand for an item. In cases of long lead times, the lead-time demand and thus the reorder point may exceed the economic order quantity Q*. In such cases, the inventory position will not equal the inventory on hand when an order is placed, and the reorder point may be expressed in terms of either the inventory position or the inventory on hand. Consider the economic order quantity model with D = 6,250, C = $40, C₁ = $2, and 250 working days per year. Identify the reorder point in terms of the inventory position and in terms of the inventory on hand for each of the following lead times. (a) 5 days inventory position inventory on hand (b) 15 days inventory position inventory on hand. (c) 25 days inventory position inventory on hand (d) 45 days inventory position inventory on handarrow_forwardA shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $8 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $16 per order as well as $4 per shoe pair. The retail store sells 750 shoe pairs each year. Find a function that models the total inventory costs as a function of the number of shoe pairs in each order from the manufacturer.arrow_forwardA retailer determines that the cost of ordering and storing units of a product can be modelled by C(x)= 3x + 2000 / x, 0 < x < 200. Find the order size that will minimise ordering and storage cost.arrow_forward
- A company stocks an item that is consumed at the rate of 30 units each day. Every time an order is placed for new supply, $ 120 must be paid. A unit inventory held in stock for one week will cost $ 0.14. What is the total annual cost if the order quantity is 200 more than EOQ? What is the optimum number of orders (rounded to the closest integer) that the company has to place each year? Assume that the company has a standing policy of not allowing shortages in demand.arrow_forwardJoe is selling Christmas trees to pay his college tuition.He purchases trees for $10 each and sells them for $25each. The number of trees he can sell is normally distributedwith a mean of 100 and standard deviation of 30. How manytrees should Joe purchase?arrow_forwardInventory can be very expensive for firms to hold and manage. One measure of how effective a firm is at managing their inventory is the inventory sales ratio (inventory/sales). Assume a firm has quarterly sales of 1 million and inventory is normally distributed with a mean of $500k and a standard deviation of $100k. simulate the expected inventory to sales ratio for 10,000 iterations. What is the expected mean inventory to sales ratio? What is the probability that the inventory sales ratio is less than 0.5?arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
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