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 thedepartments need.These three products are supplied by two suppliers, Company C andCompany D, with the unit prices given in the table on the right.a. Use matrix multiplication to determine how much these orderswill cost each department at each of the two suppliers. Enter theamounts into the cost matrix shown on the right.Department ADepartment BSteelWoodPlasticDept. ADept. BCompany C600310310Co. CSteel Wood Plastic604040607060CompanyD560190390Co. D

Answered: Image /qna-images/answer/e4b2ca28-c5e0-450c-9df3-c68eef515d12.jpg

Answered: Two departments of a firm, A and B,…

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 supplier for the automobile industry manufactures car and truck frames at two different plants. How many hours should each plant be scheduled to operate to exactly fill each of the orders in the right table? The production rates (in Frames per hour) for each plant are given in the left table. Plant A B Car Frames 2 3 Complete the table below. Number of hours for plant A Number of hours for plant B Truck Frames 4 7 1 Car frames Truck frames ... Orders 2 1 634 1454 3 Orders 2 751 1635 3 848 1846
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 410 tons of regular-grade and 530 tons of low-grade ore per week. The first mine produces 6 tons of regular-grade and 16 tons of low-grade ore per hour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is $9000 per hour, and the operating cost of the second mine is $30,500 per hour. The first mine can be operated no more than 55 hours a week, and the second mine can be operated no more than 29 hours a week. How many hours per week should each mine be operated to minimize the cost? First Mine: __ hours Second Mine:__ hours
Mr. Adams wants to rent a beachfront condominium. Unit 1 costs $1,200 for the week plus a cleaning fee of $50 per day. Unit 2 costs $1,450 for the week with no cleaning fee. What is an appropriate model to use to determine at which number of days both units cost the same amount for the week? a table with two columns, one showing the cost of Unit 1 starting at $1,200 and increasing $50 every row, and the other showing the cost of Unit 2 starting at $1,450 and increasing $50 each row a graph with the number of days for the week on the x-axis and the cost on the y-axis, showing the cost of Unit 1 starting at $50 and increasing $1,200 each day, and the cost of Unit 2 starting at $0 and increasing $1,450 each day a graph w the number of days for the eek on the x-axis and the cost on he y-axis, showing cost 1 starting at $1,200 and increasing $50 each day, and the cost of Unit 2 at $1,450 each day without increasing a table with two columns, one showing the cost of Unit 1 starting at $50 and…
This is one question, I couldn’t fit it into one picture so I insert 2.
A company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of $4.00. Assortment Il contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00. They can make 4,800 cherry, 4,200 lemon, and 5,600 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit? when OA. The maximum profit is $ assortment III are produced. . boxes of assortment I, boxes of assortment II and boxes of
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There are three factories located at AR, IN, and TX respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $10. The weekly demand of the warehouse A and B are respectively 50 and 35 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 28, 22, and 35 units. The cost of transportation per unit is given as belows. Cost Warehouse A Warehouse B AR 5 3 IN 6 6 TX 2 4 To maintain a good relationship with all the factories, warehouse B requires that it receives at least 40% of its product from factory in TX. Realize that it is making good profit in warehouse A, AR requires that at least 35% of its product shipped to warehouse A. Formulate (without solving) a linear programming problem to maximize the profit.
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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?
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The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,700, $1,750, and $1,800. Total Revenue No. of Apts 50 49 48 Rent $1,700 $ 85000 $1,750 $ 85750 $1,800 $ 86400 Need Help? ✓ Excellent job! (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? o revenue increases revenue decreases Read It ✓ Great job. ✓ Way to go! Nice work. (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) = -50x² +800x+8500 X (d) Find the rent she should charge to maximize her revenue. $2100 ✓per month

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