Q. 1 A Plastic company is producing two products A and B. The processing times are3 hours and 4 hours per unit for A on operations one and two respectively and 4 hoursand 5 hours per unit for B on operations on one and two respectively. The availabletimes are 18 hours and 21 hours for operation one and two respectively. The product Aand B can be sold. at a profit of Rs. 30 per unit and Rs. 80 per unit. Formulate thisproblem as s LP model so as to maximize the total profit.CS Scanned with CamScanner

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Answered: A Pláštić company is oducing twWo…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 factory ships weekly shipments of an item to a distribution center and the average quantity shipped is 350 units. The weekly ordering rate for this distribution center is 50 units for an item. Unit price is $ 650. The period of supply from the factory to the distribution center is two weeks (2 weeks). The distribution center must pay for the stock from the moment the manufacturer ships the goods. If the distribution center wants to increase the purchase quantity to 400 units, the factory will give priority to the distribution center and guarantee it Supply period (one week only). Required: What is the effect on the average cycle inventory and the pipeline inventory of the distribution center? With the necessity to comment on the results.
A small paint company specializes in two types of exterior paint: latex and enamel paint. It requires 10 labor-hours per 100 liters of latex paint and 15 labor-hours per 100 liters of enamel paint. It is assumed that the company works only 40 hours per week, does not hire additional labor, and does not engage in overtime work. From 1 liter of latex paint, a profit of 5 units is obtained, while from 1 liter of enamel paint, a profit of 10 units is obtained. The owner of the company prioritizes the objectives in the following order: Avoiding overtime work Maintaining a weekly profit of at least 1000 units Producing a minimum of 700 liters of enamel paint each week to meet the demand of an existing customer Formulate the goal programming model for the company.
From the data given compute the sales price for each product T and O. From the data given compute variable cost per unit for each product T and O. Letter Co. produces and sells two products, T and O. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 50,000 units of each product. Sales and costs for each product follow.
A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood to make. Each table takes two boxes of screws, four 2 ✕ 4's, and four sheets of plywood. The carpenter has 80 boxes of screws, 145 2 ✕ 4's, and 170 sheets of plywood on hand. In order to maximize their profit using these materials on hand, the carpenter has determined that they must build 12 shelves and 29 tables. How many of each of the materials (boxes of screws, 2 ✕ 4's, and sheets of plywood) are leftover, when the carpenter builds 12 shelves and 29 tables? The carpenter has boxes of screws, 2 ✕ 4's, and sheets of plywood leftover.
A company uses four special tank trucks to deliver four different gasoline products to customers. Eachtank has five compartments with capacities: 500, 750, 1200, 1500, and 1750 gallons. The daily demands forthe four products are 10000, 15000, 12000, and 8000 gallons. Any quantities that cannot be delivered by thecompany’s four trucks must be subcontracted at the additional costs of 5, 12, 8, and 10 cents per gallon forproducts 1, 2, 3, and 4, respectively. The goal is to develop the optimal daily loading schedule for the fourtrucks that will minimize the additional cost of subcontracting. Formulate this problem as an integer linearprogram, and solve it using linear program solver.
A certain faculty printer is shared by staff and students. Suppose that the rate of generating requests to the printer by staff is twice that of students, but that the average time to print a student printout is the same as average time for a faculty printout. If the utilization of the printer by the students is 25%, the utilization of the printer by the faculty is 50%, the overall average service time is 1 minute, what is the average time the students spend waiting for their printout (time spend in system)?
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
both sheets are for the same problem.
6. For the following linear programming problems, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. A hog raiser is mixing two types of grains A and B. Each unit of grain A costs P50 and a.
A computer equipment manufacturer produces scanners and printers. The resources needed for producing these devices and the corresponding profits are; If there are $200,000 worth of capital and 5240 hr of labor available each day, how many of each device should be produced per day to maximize profit. Express answer to nearest integer.

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