The 3J Company manufactures handbags, shoulder bags, and backpacks. The construction of the three products requires leather and synthetics, with leather being the limiting raw material. The production process uses two types of skilled labor: sewing and finishing. The following table gives the daily availability of the resources, their usage by the three products, and the prices per unit. Leather (ft³) Sewing (hr) Finishing (hr) Price in Pesos Hand bag 3 2 2 1200 Requirement per Unit Shoulder bag Backpack 4 3 2 2250 2 1.5 1 1100 Availability 45 43 47 a. Define the decision variables and formulate a linear programming model for this problem. b. Find the optimal solution using the Excel Solver and interpret the result. c. Determine the binding constraints.

The 3J Company manufactures handbags, shoulder bags, and backpacks. The construction of the three products requires leather and synthetics, with leather being the limiting raw material. The production process uses two types of skilled labor: sewing and finishing. The following table gives the daily availability of the resources, their usage by the three products, and the prices per unit. Leather (ft³) Sewing (hr) Finishing (hr) Price in Pesos Hand bag 3 2 2 1200 Requirement per Unit Shoulder bag Backpack 4 3 2 2250 2 1.5 1 1100 Availability 45 43 47 a. Define the decision variables and formulate a linear programming model for this problem. b. Find the optimal solution using the Excel Solver and interpret the result. c. Determine the binding constraints.

Purchasing and Supply Chain Management

6th Edition

ISBN:9781285869681

Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

ChapterC: Cases

Section: Chapter Questions

Problem 5.1SC: Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing...

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Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?
Cryolab Inc makes and sells a lawn fertilizer called Hypergro. The company has developed standard costs for one bag of Hypergro as follows: Standard Quantity/Hours Standard Price/Rate Standard Cost per Bag Direct Material 25 pounds ₱ 0.75 ₱18.75 Direct Labor 0.25 hours ₱69.00 ₱17.30 Variable overhead 0.25 hours ₱24.00 ₱ 6.00 Total ₱42.05 The company had no beginning inventories of any kind on January 1. Variable overhead is applied to production on the basis of standard direct labor hours. During January, the following activity was recorded by the company: Production of Fastgro: 23,000 bags Direct materials purchased: 585,000 pounds at a cost of ₱436,250 Direct labor worked: 5,800 hours at a cost of ₱397,300 Variable overhead incurred: ₱140,650 Inventory of direct materials on January 31: 8,000 pounds Compute the variances and indicate whether it is FAVORABLE (F) or UNFAVORABLE (U) in your solution sheet. The raw…
As a logistics specialist, you are responsible for meeting customer demand. One of your customers places orders for you to supply four products by the end of October. You have limited capacity for raw material and other facilities. You are required to satisfy customer demand by manufacturing the products and/or buying from a supplier. After consulting with the production department, you obtained the following information. Product A Product B Product C Product D Order quantity 2000 3500 1500 2500 Hours required on machine X per unit 2 4 5 3 Hours required on machine Y per unit 4 3 6 2 Raw material in kilos 5 1 4 6 Time needed for Packaging per unit 36 minutes 30 minutes 45 minutes 24 minutes Available monthly hours per month: 8,000 on machine X, 6000 on machine Y, and 3,000 hours for packaging. Purchased items from your supplier are already packaged. Available raw material per month: 5,000 kilos…
Your head of division has asked you to evaluate the alternatives for producing newly designed jig on milling machine. He gives you the following facts: An old milling machine valued at RM 150,000 exists in the warehouse that can be modified for the new jig. The production line supervisor has given an estimate of RM 25,000 to modify this machine. It is hoped that the milling machine will be able to meet production requirements at full capacity. Another vendor, CARE Sdn Bhd, has produced the machine five years ago and can easily do the same modifications for RM45,000. The cooling system used for this machine is not environmentally safe and would require some disposal costs. CARE Sdn Bhd has offered to build a new milling machine to be more environmental friendly and a higher capacity for a price RM250,00. For this scenario: (a) Define the problem statement. (b) Explain ONE (1) key assumption. (c) Explain THREE (3) alternatives available.
Demand for stereo headphones and music players for joggers has caused Nina Industries to grow almost 50 percent over the past year. The number of joggers continues to expand, so Nina expects demand for headsets to also expand, because, as yet, no safety laws have been passed to prevent joggers from wearing them. Demand for the players for this year was as follows: MONTH DEMAND (UNITS) January 4,150 February 4,250 March 3,950 April 4,350 May 4,950 June 4,650 July 5,250 August 4,850 September 5,350 October 5,650 November 6,250 December 5,950 a. Using linear regression analysis, what would you estimate demand to be for each month next year? Using a spreadsheet, follow the general format in Exhibit 3.8. (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. To be reasonably confident of meeting demand, Nina decides to use 3 standard errors of estimate for safety. How many additional units should be held to meet this…
Mpho is an avid seamstress and want to sew and sell high quality, reusable, designer face masks during the current Covid-19 pandemic. She will design and sew the masks herself and use her automatic embroidery machine to put her logo on each mask sold. With the help of her son, deliveries will be made all over Gauteng within 3 days of placing the order. Every mask will have a unique three-layer design with adjustable straps to ensure comfort and fit. Mpho’s only expense is the material needed to sew the masks and delivery costs. At this stage, Mpho’s target market is limited to Gauteng. Question: Create a diagram to illustrate the transformation process of Mpho’s new business. Be sure to include all relevant elements, headings and arrows to indicate the flowof products/ services. What should be in the diagram: outputs, inputs, feedback, transformation process and flow of product and service ect.
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Bhatti Company produces plastic photo frames. Two departments, molding and finishing, are involved in the manufacturing. The molding department fills the molds with hot liquid plastic that is left to cool and then opens them. The finishing department removes the plastic frame from the mold and strips the edges of the frames of extra plastic. The following information is available for the month of January: January 1 Quantity (pounds) January 31 Quantity (pounds) Work-in-Process Inventory Cost Cost Molding department Finishing department None None 5,000 $ 15,000 2,000 The WIP Inventory in the finishing department is estimated to be 40% complete for conversion both at the beginning and end of January. Costs of production for January follow: Direct Costs of Production Materials Conversion Molding department Finishing department $ 450,000 $ 90,000 80,290 The molding department started 50,000 pounds of product in January. The firm uses the FIFO method of process costing. Required: 1. Prepare…
Green Gardens' owner has asked your advice about a possible problem at his business. Over the last 6 months the large-sized lawn and garden inventory (ie, tables, chairs, planters, etc.) has appeared to be short. The inventory records that employees use to determine what is on hand show that more inventory is available than can actually be located. This has cause frustration and mis-trust in the inventory records for the sales employees. The owner realizes that the problem is bigger than just frustrated employees. He is afraid that inventory is being stolen, a problem he didn't think possible given that these are large items that are not easily moved. Requirements: Provide the owner with two internal controls that he could implement to reduce the likelihood of theft of the lawn and garden inventory.
Pranuec Company mai Tactures, assembles, and rebunds material handing equipment used Tn war ses and uistr iters. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap. Frandec's production schedule calls for 6000 Liftmasters to be made next month. Frandec purchases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown. Component Manufacturing Cost Purchase Cost Frame $39.00 $52.00 Support $12.50 $16.00 Strap $7.50 $8.50 Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three departments are as follows: Department Component Cutting Milling Shaping Frame 3.6 2.3 3.2 Support 1.4 1.8 2.7 Strap 0.9 1.8 Capacity (hours) 370 430…
Mpho is an avid seamstress and want to sew and sell high quality, reusable, designer face masks during the current Covid-19 pandemic. She will design and sew the masks herself and use her automatic embroidery machine to put her logo on each mask sold. With the help of her son, deliveries will be made all over Gauteng within 3 days of placing the order. Every mask will have a unique threelayer design with adjustable straps to ensure comfort and fit. Mpho’s only expense is the material needed to sew the masks and delivery costs. At this stage, Mpho’s target market is limited to Gauteng. Draw a diagram to illustrate the transformation process of Mpho’s new business. Be sure to include all relevant elements, headings and arrows to indicate the flow of products/ services
Northwest corner method Minimum cost method Vogel method You can use one of theme