2. A firm produces two products A and B. Both products need to undergo a pressmachine and a paining process. Every unit of product A needs 40 hours of thepress machine and 50 hours of the painting process. Similarly, every unit ofproduct B needs 40 hours of the press machine and 25 hours of the paintingprocess. Each unit of product A brings 600,000 yen of profit and every unit ofproduct B 400,000 yen. Every month, the total available time for the pressmachine is 480 hours and for the painting process 400 hours. Formulate thisproblem as a LP model and solve the model.

The linear function that needs to be optimized(maximize or minimize) is called the objective…

Answered: 2. A firm produces two products A and…

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 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 $ THER 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 $3.00 (with the contribution to the profit of a Type A souvenir held at $1.00)? $
Assume that producing 1 unit of calcium requires 0.4 units of calcium, 0.4 units of hydrogen, and 0 units of sea salt; that producing 1 unit of hydrogen requires 0.1 units of calcium, 0.7 units of hydrogen, and 0.1 units of sea salt; and that producing 1 unit of sea salt requires 0.7 units of calcium, 0.5 units of hydrogen, and 0.3 units of sea salt. Find the production schedule that satisfies an external demand for 43 units of calcium, 39 units of hydrogen, and 19 units of sea salt. X =
A company manufactures two, A and B, on two machines, 1 and 2. It has been determined that the company will realize a profit of $3/unit on Product A and a profit of $4/unit on product B. To manufacture 1 unit of Product A requires 6 min on Machine 1 and 5 min on Machine 2. To manufacture 1 unit product of Product B requires 9 min on Machine 1 and 4 min on Machine 2. There are 5 hr of machine time available on Machine 1 and 3 hr of machine time available on Machine 2 in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? What is the largest profit the company can realize? Is there any time left unused on machines?
B. A firm manufactures 2 product, A and B. Each product is processed by machines, M₁ and M2. Each unit of type A requires 1 hour of processing by M₁ and 2 hours in M and each unit type of type B requires 3 hours on M₁ and 1 hour on M₂. The profit on product A is P20 per unit and on product B is P30 per unit. If M₁ is available for 200 hours each month and M₂ for 300 hours, how many units of each type can be manufactured in one month in order to maximize the profits? Requirement: 1) Formulate the linear programming model 2) Solve the linear programming using the graphical method
2. Two products are manufactured in a machining center. The productions times per unit of products 1 and 2 are 10 and 12 minutes, respectively. The total regular machine time is 2500 minutes per day. In anyone day, the manufacturer can produce between 150 and 200 units of product 1, but no more than 45 units of product 2. Overtime may be used to meet the demand at an additional cost of $.50 per minute. Assuming that the unit profits for products 1 and 2 are $6.00 and $7.50, respectively, formulate the problem as an LP model, then solve it using TORA to determine the optimum production level for each product as well as any overtime needed in the center.
In "Blingblong Takes the World", a famous online role-playing game, the titular character's total damage is computed by taking the product of the critical rate x and critical damage y under the constraint x + % maximum damage to an opponent if c = 100%. = c. Find the critical rate and critical damage needed to inflict the
A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $5/unit of product A and $8/unit of product B. To manufacture a unit of product A requires 11 min on machine I and 7 min on machine II. To manufacture a unit of product B requires 19 min on machine I and 11 min on machine II. There are 5 hr of machine time available on machine I and 3 hr of machine time available on machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? model A X units model B X units What is the optimal profit? $ 1
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