A factory produces three models: copupe, ranchera, and economy. Each car needs thequantities of each of the following concepts listed in matrix C, in conveniently chosen units:materials, personnel, taxes and transportation.710C=89.371P=604090V=1572The matrix P indicates the weekly production and the matrix V the value of a unit of eachconcept.Get the arrays that representa) The weekly units needed for each conceptb) The costs of a car of each modelc) The total cost of weekly production

Answered: Image /qna-images/answer/3836aa21-b0a7-4b6f-af72-a4ecef433629.jpg

Answered: A factory produces three models:…

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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Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product the departments need. These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right. a. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts into the cost matrix shown on the right. Department A Department B Steel Wood Plastic Dept. A Dept. B Company C 600 310 310 Co. C Steel Wood Plastic 60 40 40 60 70 60 Company D 560 190 390 Co. D
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 dietitian in a hospital is to arrange a special diet composed of three basic foods. The diet is to include exactly 340 units of calcium, 180 units of iron, and 400 units of vitamin A The number of units per ounce of each special ingredient for each of the foods is indicated in the table. Construct a Units per Ounce Food A Food B Food C Calcium 30 10 20 Iron 10 10 20 Vitamin A mathematical model to complete parts (A) through (C) below. Use Gauss-Jordan elimination to solve the model and then interpret the solution. 30 30 Construct a mathematical model for this situation. Let the first, second, and third equations represent calcium, iron, and vitamin A, respectively. Let x, represent the number of ounces of food A, x, represent tine number of ounces of food B, and x, represent the number of ounces of food C. - 2 * 3 = X, + X, + %3D (Type integers or decimais.) 20
A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The company must produce at least 420 tons of regular - grade and 520 tons of low-grade ore per week. The first mine produces 6 tons of regular - grade and 18 tons of low-grade ore per hour. The second mine produces 18 tons of regular - grade and 9 tons of low-grade ore per hour. The operating cost of the first mine is $7000 per hour, and the operating cost of the second mine is $ 22,000 per hour. The first mine can be operated no more than 37 hours a week, and the second mine can be operated no more than 28 hours a week. How many hours per week should each mine be operated to minimize the cost?
Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product the departments need. These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right. C a. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts into the cost matrix shown on the right. Dept. A Dept. B Department A Department B Steel Wood Plastic Co. C Company C 580 280 280 Co. D Company D — 570 180 380 Steel 70 60 Wood 60 40 Plastic 40 60
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