f. Manufacturing g. Agribusiness h. Vegetable farming i. Retail j. Food Products f. Soft Goods g. Hog raising h. Fish Pens i. Rice Farming j. PSIC 1. This industry employs man and machinery to process raw materials into finish goods. 2. These are type of retail products that usually require cold storage. 3. This is an acronym stands for Philippine Standard Industrial Classification which is a detailed classification of industries prevailing in the Philippines. 4. Consumables are the other term for these goods. 5. Cars, appliances, electronics and lumber are examples of these products. 6. This business is involves in farming, processing, and packaging of agricultural products. 7. Raising tilapia, catfish, prawns, and bangus to earn revenue is their main line of business. _8. Piggery business is one of the most lucrative businesses in agriculture. 9. Tomatoes, bell pepper, pechay, eggplant and bitter gourd are products of this business. In this business, shops in the residential streets are part of 10. this business. elion

f. Manufacturing g. Agribusiness h. Vegetable farming i. Retail j. Food Products f. Soft Goods g. Hog raising h. Fish Pens i. Rice Farming j. PSIC 1. This industry employs man and machinery to process raw materials into finish goods. 2. These are type of retail products that usually require cold storage. 3. This is an acronym stands for Philippine Standard Industrial Classification which is a detailed classification of industries prevailing in the Philippines. 4. Consumables are the other term for these goods. 5. Cars, appliances, electronics and lumber are examples of these products. 6. This business is involves in farming, processing, and packaging of agricultural products. 7. Raising tilapia, catfish, prawns, and bangus to earn revenue is their main line of business. _8. Piggery business is one of the most lucrative businesses in agriculture. 9. Tomatoes, bell pepper, pechay, eggplant and bitter gourd are products of this business. In this business, shops in the residential streets are part of 10. this business. elion

Name: following io bu.uala h hoal Aterndnuete Tratdgnd develyndf. Manufactu
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Description: following io bu.uala h hoal Aterndnuete Tratdgnd develyndf. Manufacturingg. Agribusinessh. Vegetable farmingi. Retailf. Soft Goodsg. Hog raisingh. Fish PensRice Farmingi.j. Food Productsj. PSIC1. This industry employs man and machinery to process ra

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section6.4: Fixed-cost Models

Problem 14P

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A manager wants to know how many units of each product to produce on a daily basis in order toachieve the highest contribution to profit. Production requirements for the products are shown inthe following table.ProductMaterial 1(pounds)Material 2(pounds)Labor(hours)A 2 3 3.2B 1 5 1.5C 6 — 2.0Material 1 costs $5 a pound, material 2 costs $4 a pound, and labor costs $10 an hour. Product Asells for $80 a unit, product B sells for $90 a unit, and product C sells for $70 a unit. Availableresources each day are 200 pounds of material 1; 300 pounds of material 2; and 150 hours of labor.The manager must satisfy certain output requirements: The output of product A should not bemore than one-third of the total number of units produced; the ratio of units of product A to units ofproduct B should be 3 to 2; and there is a standing order for 5 units of product A each day. Formulate a linear programming model for this problem, and then solve
4 Sunco processes oil into aviation fuel and heating oil. Itcosts $40 to purchase each 1,000 barrels of oil, which isthen distilled and yields 500 barrels of aviation fuel and 500barrels of heating oil. Output from the distillation may besold directly or processed in the catalytic cracker. If soldafter distillation without further processing, aviation fuelsells for $60 per 1,000 barrels, and heating oil sells for $40per 1,000 barrels. It takes 1 hour to process 1,000 barrels ofaviation fuel in the catalytic cracker, and these 1,000 barrelscan be sold for $130. It takes 45 minutes to process 1,000barrels of heating oil in the cracker, and these 1,000 barrelscan be sold for $90. Each day, at most 20,000 barrels of oilcan be purchased, and 8 hours of cracker time are available.Formulate an LP to maximize Sunco’s profits.
Widgetco produces widgets at plant 1 and plant 2. Itcosts 20x1/2 to produce x units at plant 1 and 40x1/3 toproduce x units at plant 2. Each plant can produce as manyas 70 units. Each unit produced can be sold for $10. Atmost, 120 widgets can be sold. Formulate an NLP whosesolution will tell Widgetco how to maximize profit.
2. A firm makes two products X and Y and has a total production capacity of 9 tons per day.X and Y requiring the same production capacity. The same has a permanent contract to supply at least two tons of X and at least 3 tons of Y per day to another company. Each ton of X requires 20 machine hours of production time and each ton of Y requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. The entire firm's output can be sold and profit made is 80 R.O of X and 120 R.O per ton of Y. It is required to determine the production schedule for maximum profit and to calculate this profit. Formulate a LPP.
1. A distillery produces two types of alcohol for filling and distributing, the regular beer and the premium beer. A batch of regular costs $375 to manufacture and a container of the Premium beer costs $420. The manufacturer wishes to establish the weekly production plan that minimizes cost. Production of these products is limited to processing, testing and material. Each batch of regular beer requires 4 hours processing whereas each batch of premium requires 2 hours of processing. Further each batch of regular requires 4 hours of testing compared to 6 hours of testing for a batch of Super. A batch of regular and a batch of Super each require 1 litre of material. Processing and testing have a maximum of 100 and 180 hours available and the total material available is 40 litres. Because of an agreement, the sales of regular beer are limited to a weekly maximum of 20 batches and to honour an agreement with a loyal distributor, at least 10 batches of premium beer must be sold each week.…
Based on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 11 4 $B$3 Product_2 175 0 25 12 14 $B$4 Product_3 0 −1.5 25 8 5 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 multiple choice Product_1 Product_2 Product_3
Based on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? A. Product_2 B. Product_1 C. Product_3 Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 13 5 $B$3 Product_2 175 0 25 8 9 $B$4 Product_3 0 −1.5 25 11 3 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700
A manufacturing fi rm has discontinued production of a certain unprofi table product line.Considerable excess production capacity was created as a result. Management is consideringdevoting this excess capacity to one or more of three products: X1, X2, and X3.Machine hours required per unit areProductMachine Type X1 X2 X3Milling machine 8 2 3Lathe 4 3 0Grinder 2 0 1The available time in machine hours per week isMachine Hours per WeekMilling machines 800Lathes 480Grinders 320The salespeople estimate they can sell all the units of X1 and X2 that can be made. Butthe sales potential of X3 is 80 units per week maximum.Unit profi ts for the three products areUnit ProfitsX1 $20X2 6X3 8a. Set up the equations that can be solved to maximize the profi t per week.b. Solve these equations using the Excel Solver.c. What is the optimal solution? How many of each product should be made, and whatshould the resultant profi t be?d. What is this situation with respect to the machine groups? Would they…
ABC Cabinets received a contract to produce bookshelf speakers (BS) and floor speakers (FS) over the next 2months. The contract says ABC must deliver 2100 BS and 1500 FS at the end of month 1 and deliver 1200 BS and2600 FS at end of month 2. The time to make a BS is 0.7hr and a FS is 1hr. Raw material costs $10 for each BSand $12 for each FS and there is an unlimited amount available. Labor costs are $22/hr using regular productiontime and $33/hr using overtime. ABS has up to 2400hrs of regular production time each month and up to 1000additional hours of overtime each month. Any cabinets left at the end of month 1 can be stored for $5/cabinet.(a) Formulate an LP to determine the number of units that should be manufactured each month on regular andovertime to minimize total production and storage costs
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