Inventory 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?

Inventory 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?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter8: Evolutionary Solver: An Alternative Optimization Procedure

Section8.6: Fitting An S-shaped Curve

Problem 12P

See similar textbooks

Similar questions

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.
With a probabilistic model, increasing the service level A. will decrease the level of safety stock level. B. will increase the cost of the inventory holding. C. will have no impact on the cost of the inventory policy. D. will reduce the cost of the inventory holding.
The best quantity to order One of the formulas for inventorymanagement says that the average weekly cost of ordering, payingfor, and holding merchandise iswhere q is the quantity you order when things run low (shoes,TVs, brooms, or whatever the item might be); k is the cost ofplacing an order (the same, no matter how often you order); c isthe cost of one item (a constant); m is the number of items soldeach week (a constant); and h is the weekly holding cost per item(a constant that takes into account things such as space, utilities,insurance, and security). Find dA>dq and d2A>dq2.
Vetox sells industrial chemicals. One of their inputs can be purchased in either jugs orbarrels. A jug contains one gallon, while a barrel contains 55 gallons. The price pergallon is the same with either container. Vetox is charged a fixed amount per orderwhether it purchases jugs or barrels. The inventory holding cost per gallon per monthis the same with either jugs or barrels. Vetox chooses an order quantity to minimizeordering and holding costs per year. Would Vetox purchase a greater number of gallonswith each order if it purchased with jugs or with barrels?a. They would order a greater number of gallons with barrels.b. They would order the same number of gallons with either container.c. They would order a greater number of gallons with jugs.d. They might order a greater number of gallons with jugs or with barrels, depending onvarious factors like the demand rate, ordering cost, and holding cost.
Please do not give solution in image format thanku Deltic sells this component for 55 per unit with a 4-month delivery lead time. Assume Deltic covers all transportation and related processing until delivery. TCX’s demand forecast for the upcoming selling season (12 months) is a normal distribution with mean 13500 and standard deviation 3736,4 . TCX sells each unit, after integrating their proprietary software, for 135. Assume that TCX uses a holding cost rate of 25 %, and any leftover units can be sold for 30 on average. Due to the long lead time and high minimum order quantity required, TCX is planning on a single order from Deltic to meet their needs in the next year. How many of these components should TCX order? Calculate the resulting expected annual profits for TCX.
A tire store orders its stock for a popular winter tire once every year. The cost of a tire for the store is $120. The store sells a tire for $140 at the regular price. The regular demand per year is 1,000 tires, which is normally distributed with a standard deviation of 70 tires. Customers do not prefer to buy from an older stock; hence the store does not keep the tires for the next year. The store is able to sell the excess stock at a reduced price of $80 per tire. How many tires the store should order each year?
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 detail
Nutmeg Inc. uses the LIFO method to account for inventory. During years in whichinventory unit costs are generally rising and in which the company purchases more inventory than it sells to customers, its reported gross profit margin will most likely be:A. lower than it would be if the company used the FIFO method.B. higher than it would be if the company used the FIFO method.C. about the same as it would be if the company used the FIFO method.
Suppose the monthly demand for automobile tires at a tire dealer is Normally distributed with a mean of 250 tires and a standard deviation of 50 tires. How many tires must the store have in inventory at the beginning of each month to meet the demand 95% of the time?
The beginning balance in accounts receivable is $44 000, the ending balance is $42 000, and sales during the period are $129 000. What are cash receipts from customers, assuming no bad debts or discounts allowed?a. $127 000.b. $129 000.c. $131 000.d. $141 000.
A coffee shop uses approximately 250 pounds of a particular type of coffee every week. The shop is open 52 weeks a year. The annual carrying charge for the coffee is 20%. If 1 pound of coffee costs the shop $12.00 and the cost associated with each order is $39, how many pounds of this coffee should be ordered each time an order is placed in the shop wants to minimize its total annualized inventory-related costs?
A small firm uses 3,400 lbs of chemical dye a year. Currently the firm purchases 300 lbs per order and pays $3 per order. The supplier has just announced that orders of 1,000 lbs or more will be filled at a price of $2per lb. The firm incurs a cost of $100 each time it submits an order and assigns an annual holding cost of 17% of the purchase price. If the supplier offered the discount at 1,500 lbs instead of 1,000 lbs, what order size would minimize total cost. What is the total cost at 1500