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? Task 7: 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 normallydistributed with a standard deviation of 70 tires. Customers do not prefer to buy from an older stock; hence the storedoes 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?

Answered: Image /qna-images/answer/4a75d7f9-7a6b-46e6-a3c5-f5bc3be7c475.jpg

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 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?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 46P

See similar textbooks

Similar questions

The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
Management at the Kerby Corporation has determined the following aggregated demand schedule (in units):Month 1 2 3 4Demand 500 800 1,000 1,400Month 5 6 7 8Demand 2,000 3,000 2,700 1,500Month 9 10 11 12Demand 1,400 1,500 2,000 1,200An employee can produce an average of 10 units per month. Each worker on the payroll costs $2,000 in regular-time wages per month. Undertime is paid at the same rate as regular time. In accordance with the labor contract in force, Kerby Corporation does not work overtime or use subcontracting. Kerby can hire and train a new employee for $2,000 and lay off one for $500. Inventory costs $32 per unit on hand at the end of each month. At present, 140 employees are on the payroll and anticipation inventory is zero.a. Prepare a production plan that only uses a level workforce and anticipation inventory as its supply options. Minimize the inventory left over at the end of the year. Layoffs, undertime, vacations, subcontracting, backorders, and stockouts are not…
The ATV Corporation makes three models of all-terrain vehicles: Model A, Model B, and Model C. Model A uses a 0.4-liter engine, Model B uses a 0.5-liter engine, and Model C uses a 0.6-liter engine. The aggregate production plan is the twelve-month plan that combines all three models together in total monthly production. The planning horizon is twelve months. The APP determines the size of the workforce, which is the constrained resource. Assume that the beginning inventory for January is 120 units (30 units each of Model A and Model B, and 60 units of Model C). The firm desires to have an ending inventory of 160 units at the end of the year. On average, one unit of ATV requires eight labor hours to produce, and a worker contributes 160 hours (8 hours × 5 days × 4 weeks) per month. The data has been collected in the Microsoft Excel Online file attached. Answer the question below: 1. What are the totals of the forecast demand (including inventory adjustment for December), production,…
The ATV Corporation makes three models of all-terrain vehicles: Model A, Model B, and Model C. Model A uses a 0.4-liter engine, Model B uses a 0.5-liter engine, and Model C uses a 0.6-liter engine. The aggregate production plan is the twelve-month plan that combines all three models together in total monthly production. The planning horizon is twelve months. The APP determines the size of the workforce, which is the constrained resource. Assume that the beginning inventory for January and that the desired monthly ending inventory is 120 units (30 units each of Model A and Model B, and 60 units of Model C), and the firm desires to have an ending inventory of 160 units at the end of the year. On average, one unit of ATV requires eight labor hours to produce, and a worker contributes 160 hours (8 hours × 5 days × 4 weeks) per month. The data has been collected in the Microsoft Excel Online file attached. Answer the question below: 1. What are the totals of the forecast demand (including…
Farmers Groceries To You (FGTY) is a fast-growing company started by JMU alumni, which delivers fresh groceries collected in Virginia farms to families in the Shenandoah region. As part of an expansion plan, FGTY is considering approaching the northern Virginia market through printed product lists (PLs) containing deals, coupons and customers testimonies. The initial plan is to send 200,000 PLs to households in Fairfax and Arlington, expecting new customers to place orders. The company estimates to incur a fixed cost of $30,000 associated with design, printing setup and transportation contracting. Beyond this, the average transportation cost per PL is ¢20, while the printing cost per PL is ¢10. Also, FGTY incurs in an average cost of ¢25 for processing each order placed by a customer using the PL’s promotion codes. The expected size of an order is $50, and FGTY’s variable cost per order (mainly product costs labor) is close to 80% of the order’s average. You’ve been hired to help FGTY…
) The following data have been prepared for master production scheduling purposes in IKEA Australia: End product A: Beginning inventory of 60, Period forecast of 10, Lot size of 30, and 30 hours in lot size. End product B: Beginning inventory of 20, Period forecast of 5, Lot size of 20, and 20 hours in lot size. End product C: Beginning inventory of 30, Period forecast of 15, Lot size of 50, and 50 hours in lot size. Capacity: 38 hours/ week (i) Prepare the master production schedule for these items during the next four periods using the Ethan Allen master production scheduling method. (ii) Suppose that the master production schedule is frozen for the next three periods. What specific impact would the policy have on the IKEA's performance?
A linear programming computer package is needed. The Silver Star Bicycle Company will be manufacturing both men's and women's models for its Easy-Pedal 10-speed bicycles during the next two months. Management wants to develop a production schedule indicating how many bicycles of each model should be produced in each month. Current demand forecasts call for 150 men's and 125 women's models to be shipped during the first month and 200 men's and 150 women's models to be shipped during the second month. Additional data are shown. Model Production Costs Labor Requirements (hours) Current Inventory Manufacturing Assembly Men's $120 2.0 1.5 20 Women's $90 1.6 1.0 30 Last month the company used a total of 1,000 hours of labor. The company's labor relations policy will not allow the combined total hours of labor (manufacturing plus assembly) to increase or decrease by more than 100 hours from month to month. In addition, the company charges monthly inventory at the rate of 2% of the…
The company is expected to have a cash balance of 65,000 on January 1, 2021. The company wants to maintain a minimum cash balance of $15,000. Loan and interest payments are made in multiples of 10,000 in the earliest quarter in which there is sufficient cash (that is, when the cash on hand exceeds the $15,000 minimum required balance). Prepare a 1.labour and 2.manufacturing overhead budget
Problems LU - 2 Wally Beaver won a lottery and will receive a check for $2,500 at the beginning of each 6 months for the next 6 years. If Wally deposits each check into an account that pays 6%, how much will he have at the end of the 6 years?
Please help me solve this table. Rockit Electronics manufactures a line of digital blue ray players. The player is made from one subassembly of B and one subassembly of C. B is made of three units of D and two of E. C is made of two units of F and two of E.The blue ray has a lead time of one week. B, C, and E have lead times of two weeks, and D and F have lead times of three weeks.As the production manager, you need to figure out the MRP planning schedule. 1. What is the bill of materials (product structure tree)?2. If 1,000 units of blue ray players are required in week 10, what is the MRP schedule? Specifically, when items are to be ordered and received. Assume we have no units of inventory on hand.
Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas. Demand forecasts for the coming winter season are Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the following quantities have been written: Southern Gas, 500 units; and Northern Gas, 400 units. Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs per units (in thousands of dollars) are as follows: To From Hamilton Butler Clermont Southern Gas 10 20 15 Northern Gas 12 15 18 What is the optimal function value of this problem? a. 900 units b. $13,600 c. none of the answers proposed apply d. 1,200 units e. $11,900
Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas. Demand forecasts for the coming winter season are Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the following quantities have been written: Southern Gas, 500 units; and Northern Gas, 400 units. Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs per units (in thousands of dollars) are as follows: To From Hamilton Butler Clermont Southern Gas 10 20 15 Northern Gas 12 15 18 At optimality, how many units of natural gas are shipped from Southern Gas to Clermont? a. none of the answers proposed apply b. 100 units c. 300 units d. 250 units e. 200 units