A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1.20, and eachType B souvenir will result in a profit of $1.60. To manufacture a Type A souvenir requires 2 minutes on Machine 1 and 1 minute on MachineII. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 2 hours available on Machine I and 5 hoursavailable on Machine II.andmin. (Enter your(a) For a meaningful solution, the time available on Machine II must lie between [answers from smallest to largest.)(b) If the time available on Machine II is changed from 300 min to (300+ k) min, with no change in the maximum capacity forMachine 1, then Ace Novelty's profit is maximized by producingType A souvenirs andType Bsouvenirs, wheresks(c) Find the shadow price for Resource 2 (associated with constraint 2). (Round your answer to the nearest cent.)

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Answered: A company wishes to produce two types…

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 company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II. (a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ 48 X and $ 96 X. (Enter your answers from smallest to largest.) (b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $196.80. $2 (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $1.50 (with the contribution to the profit of a Type A souvenir held at $1.00)? $168
A jeweler and her apprentice make silver pins and necklaces by hand. Each week they have 80 hours of labor and 36 ounces of silver available. It requires 8 hours of labor and 2 ounces of silver to make a pin and 10 hours of labor and 6 ounces of silver to make a necklace. Each pin also contains a small gem of some kind. The demand for pins is no more than six per week. A pin earns the jeweler $400 in profit, and a necklace earns $100. The jeweler wants to know how many of each item to make each week to maximizeprofit. Requirements:a) Define decision variables and tabulated datab) Formulate the Integer Linear Programming Model.
A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II. (a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ and $ . (Enter your answers from smallest to largest.)(b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $208.80.$ (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $2.00 (with the contribution to the profit of a Type A souvenir held at $1.00)?$
A company produces widgets at plants 1 and 2. It costs 125x1y2 dollars to produce x units at plant 1 and 235x1y3 dollars to produce x units at plant 2.Each plant can produce up to 500 units. Each unit produced can be sold for $10. At most 800 widgets can be sold. Determine how -the company canmaximize its profit.
A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II. (a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ 90 x and $ 3 . (Enter your answers from smallest to largest.) (b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $196.80. $ (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $1.00 (with the contribution to the profit of a Type A souvenir held at $1.00)? 2$
Some students want to start a business that cleans and polishes cars. It takes 2.5 hours of labor and costs $1.5 in supplies to clean a car. It takes 1.5 hours of labor and costs $3 in supplies to polish a car. The students can work a total of 150 hours in one week. They also decide that they want to spend no more than $120 per week on supplies. The students expect to make a profit of $6.75 for each car that they clean and a profit of $9.50 for each car that they polish. The objective function is: * Maximize Z=7.75X1+8.5X2 Maximize Z=6.75 X1+9.5X2 Maximize Z=2.5X1+1.5X2 Maximize Z=9.5 X1+6.75X2

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