Set up the linear programming problem to find the shipping pattern whichminimizes the total cost.Find a feasible (but not necessarily optimal) solution to the problem offinding a shipping pattern using the Northwest Corner Algorithm.• Use the Least-Cost Method to find a feasible solution to the shippingproblem. Assume there are 2 factories, (KEBD Factory and LABD Factory), and 3warehouses. KEBD Factory makes 50 widgets. LABD Factory makes 60 widgets.Warehouse A stores 25 widgets. Warehouse B stores 55 widgets. Warehouse Cstores 40 widgets. It costs $90 to ship one widget from KEBD Factory to warehouseA, $85 to ship one widget from KEBD Factory to warehouse B, and $70 to shipone widget from KEBD Factory to warehouse C. It costs $75 per widget to shipfrom LABD Factory to warehouse A, $80 per widget to ship from LABD Factory towarehouse B, and $85 per widget to ship from LABD to warehouse C.

A linear programming problem contains three parts. They are Objective function Subject to the…

Answered: Assume there are 2 factories, (KEBD…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A patient takes vitamin pills. Each day he must have at least 420 IU of vitamin A, 8 mg of vitamin B,, and 45 mg of vitamin C. He can choose between pill 1, which contains 240 IU of vitamin A, 2 mg of vitamin By, and 5 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 2 mg of vitamin B, , and 30 mg of vitamin C. Pill 1 costs 20¢, and pill 2 costs 60¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy ……of pill 1 and…..? of pill 2. The minimum cost is $….? b. For the solution in part a, the patient is receiving more than he needs of at least one vitamin. Identify that vitamin, and tell how much surplus he is receiving He is receiving ……IU of vitamin A, …….." mg of vitamin B,, and….. mg of vitamin C more than he needs.
A company manufactures paring knives and pocket knives. Each paring knife requires 3 labor-hours, 7 units of steel, and 4 units of wood. Each pocket knife requires 6 labor-hours, 5 units of steel, and 3 units of wood. The profit on each paring knife is $3, and the profit on each pocket knife is $5. Each day the company has available 102 labor-hours, 157 units of steel, and 123 units of wood. Suppose that the number of labor-hours that are available each day is increased by h. For what values of h will a change of h labor-hours not change the shadow price of labor? The shadow price of labor will not change for shs. (Simplify your answers.)
A snack company is preparing two mixtures of snacks from a supply of 110 pounds pretzels, 30 pounds pistachios, 10 pounds cheese puffs, 60 pounds sesame sticks, and 20 pounds toffee bites. Mixture X contains 55% pretzels, 20% pistachios, 5% cheese puffs, 20% sesame sticks, and no toffee bites, and sells for $7.99 per pound. Mixture Y contains 45% pretzels, 10% pistachios, no cheese puffs, 10 % sesame sticks, and 15% toffee bites, and sells for $5.99 per pound. If x = # of pounds of Snack X and y = # of pounds of Snack Y, determine the constraints on this linear programming problem. Inequality for pretzels [ Choose ] Inequality for pistachios ( Choose] Inequality for cheese puffs ( Choose ) Inequality for sesame sticks [Choose ] Inequality for toffee bits [ Choose ) Non-negativity inequalities [ Choose ] >
A factory that produces hygiene materials produces hygiene packages with three different contents, namely individual, family, xl-family, from masks, disinfectants and soap products. Stocks of hygiene products vary from week to week. For this reason, the factory applies a different production schedule for each week. For example, for the next week, how many boxes of individual, family and xl-family hygiene packages can they produce and put up for sale by using 270 thousand masks, 130 thousand disinfectants and 85 thousand soaps? Use the Gaussian Seidal method to reach the solution with an error of 0.1. Let the initial values for mask, disinfectant and soap are given as 49, 19 and 4, respectively. The amount of products in the packages is given in the table.(Note: do not use the values in thousands when trading.You can take 270, 230 and 85)
A company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of $4.00. Assortment Il contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00. They can make 4,800 cherry, 4,200 lemon, and 5,600 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit? when OA. The maximum profit is $ assortment III are produced. . boxes of assortment I, boxes of assortment II and boxes of
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A cat breeder has the following amounts of cat food: 120 units of tuna, 110 units of liver, and 70 units of chicken. To raise a Siamese cat, the breeder must use 3 units of tuna, 2 of liver, and 2 of chicken, while raising a Persian cat requires 2, 1 and 3 units respectively per day. If a Siamese cat sells for $13, and a Persian cat sells for $14, how many of each should be raised in order to obtain maximum gross income? Set up the initial simplex tableau. ** Set up the initial simplex tableau for the problem. Let x, be the number of Siamese cats, and let x₂ be the number of Persian cats. Begin by filling in missing terms for constraints. 3x₁ + 2x₂ 5 is the constraint on tuna consumption. 2x₁ + x₂ is the constraint on liver consumption. 2x, +3x₂ s chicken consumption. is the constraint on
Suppose that a small company produces two different models of kayaks. A larger model and smaller model. The larger model requires 2 hours of manufacturing, 2 hours for assembly and 3 hours for packaging. The smaller model requires 2 hours for manufacturing, 1 hour for assembly and 2 hours for packaging. Each week the company has 120 hours available for manufacturing, 80 hours available for assembly and 132 hours available for packaging. If the company makes a profit of $75 for each of the larger model manufactured and profit of $60 for each smaller model manufactured, how many of each model should the company produce in order to maximize profit ?

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