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 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 $196.80.$ (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $2.50 (with the contribution to the profit of a Type A souvenir held at $1.00)?$
A company manufactures two types of products, A and B. Each product uses two processes, I and II. The processing time per unit of product A on process I is 6 hours and on the process II is 5 hours. The processing time per unit of product B on process I is 12 hours and on process II is 4 hours. The maximum number of hours available per week on process I and II are 75 and 55 hours respectively. The profit per unit of selling A and B are P12 and P10 respectively. Required : Formulate a linear programming model so that the profit is maximized.
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30 QUESTION 14 Question 9. (CUSTOMERS ARE ASSESTS FOR A BUSINESS) A saleswoman buys the five products say, bag, sunglass, watch, makeup set, and fountain pen from a supplier. Let x = 78, x2 = 25, x3 = 22, x4 = 40 and x5 =10 be the costs respectively. A saleswoman sets a profit of $3 at the end of day from the five items. If she sold two items of each product, compute her total sale as: 5 2 Σx +3 i=1 QUESTION 15
A production line of a mechanical spare part includes three stages such as moulding, finishing and packing. As the production engineer, you are required to improve the efficiency of the process immediately to cater a relatively large order which needs to be served in a limited time. On the shutdown day you only have resources and time to do detailed maintenance in only one component. In order to do that you are required to identify the component(stage) which affect the most to the total time consumed. Following details were obtained in a cycle time analysis of most recent week. Using these details find the most significant component by performing a correlation analysis. Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Average 31 35.5 31 40.5 34 39 37.5 time for Total process Average 15 20 17 25 18 24 20 time for Moulding Average 4.5 7 6. 7 5.5 time for finishing Average 10 11 9. 8.5 10 12 time for packing Factory manager claims that there is a positive relationship between moulding time and…
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)? $
A Company produces three models of VCRS Model 1, Model 2, and Model 3, at two facilities, A and B. The company has orders for at least 5000 of Model 1, at least 3200 of Model 2, and at least 3300 of Model 3. The weekly production capacity of each model at each facility and the cost per week to operate each facility are given in the table below. For how many weeks should each facility operate to minimize the cost of filling the orders? A 500 Model 1 Model 2 600 Model 3 300 Cost Per Week($) 16,000 B 500 200 600 19,000 The minimum possible cost of filling the orders is $
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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?
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.)
need comprehensive and correct answers.This question is about optimization.
Protective Research, Inc. received an order to produce a specially designed fence for preventing automobile accidents on the highways. The fence is manufactured in two sections, each requiring no more than 9 units of material A and no more than 6 units of material B. While each unit of material A weighs 4 kgs and B weighs 6 kgs, the final product must weigh exactly 48 kgs. Management figures profit in terms of input units, $240 per unit from material A and $160 from material B. What is the profitable mix.

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