Exercises on Linear Programming: Graphical Method1. Weenies and Buns is a food processing plant which manufactures hot dogs and hot dog buns. Theygrind their own flour for the hot dog buns at a maximum rate of 200 pounds per week. Each hot dogbun requires 0.1 pound of flour. They currently have a contract with Pigland, Inc., which specifiesthat a delivery of 800 pounds of pork product is delivered every Monday. Each hot dog requirespound of pork product. All the other ingredients in the hot dogs and hot dog buns are in plentifulsupply. Finally, the labor force at Weenies and Buns consists of 5 employees working full time (40hours per week each). Each hot dog requires 3 minutes of labor, and each hot dog bun requires 2minutes of labor. Each hot dog yields a profit of $0.88, and each bun yields a profit of $0.33.Weenies and Buns would Ilike to know how many hot dogs and how many hot dog buns theyshould produce each week so as to achleve the highest possible profit. (a) Formulate a linearprogramming model for this problem. (b) Use the graphical method to solve this model.

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Answered: 1. Weenies and Buns is a food…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A manufacturing plant produces a product 'A' that requires one unit of 'B' and ½ unit of 'C'. Each unit of 'B' is comprised of one unit of 'D', two units of 'E', and one unit of 'F'. Each unit of 'C' requires ½ unit of 'G' and three units of 'H'. The manufacturing lead times for the components are as follows: 'A' - two weeks, 'B' - one week, 'C' - two weeks, 'D' - two weeks, 'E' - three weeks, 'F' - one week, 'G' - two weeks, 'H' - one week. There are 20 units in stock for each of these components. 100 units of 'A' are needed for delivery in seven weeks: a) Develop the product structure and indexed bill of materials for the product. b) Create a gross and net requirements plan for the manufacturer of the product.
M8
Kala is one of the top manufacturer of ukuleles. The manufacturer produces three different types of ukuleles. Its Concert produce $6 in profit per unit; its Soprano produce $4 in profit per unit; and its Tenor produce $8 in profit per unit. Each type of ukulele passes through three manufacturing stages as a part of the entire production process. The three process centers of modelling, curing and assembly has an available production time per day of 12 hours, 14 hours and 16 hours, respectively. To produce one hundred units of Concert, the time required for the process of modelling, curing and assembly is 2 hours, 3 hours and 2 hours, respectively. To produce one hundred units of Soprano, 2 hours of modelling, 2 hours of curing and 1 hour of assembly is required. Whereas 4 hours of modelling, 2 hours of curing and 2 hours of assembly is required to produce one hundred units of Tenor. Sensitivity report of the problem is given as below where C = unit of Concert to be produced each day, S…
Suppose 100,000 lamps are to be manufactured annually. It costs $1 to store a lamp for 1 year, $500 to set up the factory to produce a batch of lamps and $5 to produce each lamp. A. If all lamps are produced in one batch find the total cost? B. If all lamps are produced in two batches of equal size, find the total cost? C. If the number of units in each batch is q, then how many batches are there? D. Find the number of lamps in each batch to minmize the total cost? E. What is the minimum cost? [ i need all answer i will upvote]
The Petoskey Potato Chip Company produces 3 varieties of gourmet potato chip. The varieties and average daily demand are given below: Bar-B-Que: 325 cases/day Sour Cream & Onion: 215 cases/day Classic Cut: 360 ases/day The company runs 24 hours/day and can produce 1,300 cases of potato chips per day. Each case of potato chip costs $20 to produce and Petoskey assumes 18% of this cost as the annual holding cost. It takes Petoskey 5 hours to setup for production of a different variety at a cost of $715. Calculate the minimum cost cycle time in days. Answer: 25.2 How is this calculated?
The Ace Manufacturing Company has orders for three similar products. Product Min A s.t. B C 1 2 Machine 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A LB B Ic C Product 4 2 3 Orders (units) Machine 1 Capacity Product A Orders Machine 2 Capacity Product B Orders Machine 3 Capacity Product C Orders 1,800 X20 for all i, j. 700 1,100 Capacity (units) 1,400 (a) Develop the linear programming formulation of this problem. (Let x₁ be the number of units of product A produced by XA1 machine 1, x,, be the number of units of product i produced by machine j, etc.) 1,500 1,000 1 Machine $1.00 $1.30 $1.10 2 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 3 (b) Solve the transportation model for the…
33 White & Becker Tools (W&B) requires 2,000 elec- tric motors next month for its product line of weed trimmers. Each motor is composed of three com- ponents: a coil, a shaft, and housing. W&B has the capability to produce these components or purchase them from an outside vendor. The costs of produc- ing them and purchasing them are shown in the following table. COMPONENT Coil Shaft Housing DEPART- MENT PRODUCTION COST PER UNIT Fabrication 0.5 Molding 0.4 Inspection 0.2 $2.60 $1.80 $1.40 The components that are produced by W&B must pass through three departments: fabrication, molding, and inspection. The number of hours each component requires in each department and the total number of hours available next month in each department are shown in the following table: 0.2 0.7 0.3 PURCHASE COST PER UNIT COIL SHAFT HOUSING AVAILABILITY (HR.) (HR.) (HR.) (HR.) $3.12 $2.16 $1.68 0.6 0.3 0.4 3,000 3,000 1,800 In order to determine the number of components that will be produced and the number…
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Om1. Margaret is a shift supervisor for Clear Lake Boats, Inc. She has been with the company since it started manufacturing boats more than ten years ago. Margaret worked on the production line until last year, when she was promoted to supervisor. The company started out small, with only 12 employees and one shift working Monday to Friday from 8:30 a.m. to 5:00 p.m. Clear Lake Boats now has more than three hundred employees and runs three shifts a day. Every employee on each shift gets paid the same except for the supervisors, who are paid two dollars more per hour. The night shift employees get paid a dollar more per hour. There is no performance appraisal system or reward structure. After Margaret was promoted, she asked to take a “Principles of Supervision” class at a local community college to learn proper supervisory skills and coaching techniques. One of the topics discussed in her class was performance appraisals and reward systems. Although the company has grown quickly and has…
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Susan manages the packaging supplies for the New Zealand distributorship of AllBirds product lines. It;s her job to order all the shoe boxes that house each pair of shoes (whether going to retail stores, or shipping directly to consumers via the online store). She purchases shoe boxes from a local printing supplier. The NZ distributor ships on average 325 boxes of shoes each month. Boxes cost $2.25 each, and each order costs $18 to process. Because of limited storage space, Susan's manager wants to charge inventory holding at 25% of the unit cost. The lead time is 7 days. Assume 360 working days per year. Calculate the following: a. Economic order Wuantity b. Reorder Point (assuming no safety stocks) c.Number of orders-per-Year d.Total annual cost e.If storage space was so limited, Susan estimates that inventory holding cots would only be 15% of unit cost. How would that change total annual costs?
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