A furniture manufacturer makes sofas, chairs, and ottomans. The accompanying table gives the number of hours of labor required for the carpentry and upholstery that goes into each item.Suppose that each day, 398 labor-hours are available for carpentry and 465 labor-hours are available for upholstery. Give three different combinations for the number of each type of furniture thatcan be manufactured each day.CarpentryUpholsteryOttoman1 hour3 hoursSofa3 hours6 hoursChair6 hours3 hoursIf 45 chairs are manufactured, how many ottomans and sofas can be manufactured?ottomans and sofas can be manufacturedIf 41 chairs are manufactured, how many offomans and sofas can be manufactured?ottomans and sofas can be manufacturedIf 44 chairs are manufactured, how many ottomans and sofas can be manufactured?ottomans and sofas can be manufactured.

Given that a furniture manufacturer makes sofas, chairs, and ottomans. The accompanying table gives…

Answered: A furniture manufacturer makes sofas,…

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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Ace Trucking Company has an order for delivery of three products, A, B, and C. The table gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the carrier can carry 11,800 cubic feet and 14,900 pounds and is insured for $61 comma 800, how many units of each product can be carried? Product A Product B Product C Volume (cu ft) 24 20 80 Weight (lb) 40 30 60 Value ($) 150 180 200
The Gem City Paper Company produces rolls of paper of various types for its customers. One type is produced in standard rolls that are 50 inches wide and 100 yards long. Customers of this type of paper order rolls that are 100 yards long but can have any of the widths 12, 15, 25, 30, and 40 inches. In a given week, Gem City Paper waits for all orders and then decides how to cut its 50-inch rolls to satisfy the orders. The weekly number of orders for each roll width is provided in the table below. Each week this company must decide how to cut its rolls in the most economical way to meet its orders. Specifically, it wants to produce and cut as few rolls as possible. Formulate and solve an IP model to help Gem City Paper find the best way to meet all weekly customer demands. (Hint: list all the feasible patterns that can be used to cut a 50-inch roll of paper). Width 12 15 25 30 40 Requirement 40 30 20 20 20
In a very simple computer chip, 8 wires go from one transistor to a second transistor. For the computer to function, instructions must be sent between these 2 transistors. In how many ways can 4 different instructions be sent between the 2 transistors if no 2 instructions can be sent along the same wire?
A mining company has two mines. One day's operation at mine #1 produces ore that contains 10 metric tons of copper and 590 kilograms of silver, while one day's operation at mine #2 produces ore that contains 20 metric tons of 10 20 copper and 550 kilograms of silver. Let v₁ = and V₂ = - . Then v₁ and v₂ represent the "output per day" 590 550 of mine #1 and mine #2, respectively. Complete parts (a) through (c) below. a. What physical interpretation can be given to the vector 2v₁ ? O A. It is the output of copper at mine #1 after 2 days of operation. B. It is the output at mine #1 after 2 days of operation. OC. It is the output at mine #2 after 2 days of operation. O D. It is the output of silver at mine #1 after 2 days of operation.
With a short time remaining in the day, a delivery driver has time to make deliveries at 3 locations among the 9 locations remaining. How many different routes are possible?
Please provide a neat solution
Start at 1. Create a pattern that multiplies each number by 2. Stop when u have 5 numbers
With a short time remaining in the day, a delivery driver has time to make deliveries at 6 locations among the 8 locations remaining. How many different routes are possible?
A scientist investigated the effect of cross-fertilization on the heights of plants. In one study, the scientist planted 15pairs of a species of plant. Each pair consisted of one cross-fertilized plant and one self-fertilized plant grown in the same pot. The table available below gives the height differences, in eighths of an inch, for the 15 pairs. Each difference is obtained by subtracting the height of the self-fertilized plant from that of the cross-fertilized plant. Use the paired t-interval procedure to determine a 99% confidence interval for the difference between the mean heights of cross-fertilized and self-fertilized plants. Interpret the result. (Note: d=19.00 and sd=35.50.) The 99%confidence interval is from ____ eighths of an inch to_____ eighths of an inch. (Round to two decimal places as needed. Use ascending order.) Which statement below best interprets the confidence interval? A. There is 99%confidence that the difference between the…
A high school dietician is planning menus for the upcoming month. Anew item will be spaghetti with sauce. The dietician wants each serving tocontain at least 10 grams of protein and at least 40 grams of carbohydrates.Spaghetti contains 5 grams of protein and 32 grams of carbohydrates per cup,and the sauce contains 4 grams of protein and 5 grams of carbohydrates percup. For aesthetic reasons, the dietician wants a ratio of spaghetti to sauce to be4:1.Spaghetti costs $0.30 per cup to buy and prepare, and the sauce $0.40 per cupto buy and prepare. The dietician wants to minimize the cost per serving andkeep the calories per serving 330 or less. The sauce contains 100 calories percup, and spaghetti contains 160 calories per cup.Formulate a linear programming model for this problem.
jjackson10jayden and adeotegbeye each had some money at first. jjackson10jayden started spending $1.20 daily. After 15 days, adeotegbeye started spending 4/3 of what jjackson10jayden spent daily. When adeotegbeye spent all of his money, he had spent $11.60 more than jjackson10jayden. a) How many days did adeotegbeye take to spend all of his money? b) How much did jjackson10jayden spend in total when adeotegbeye spent all of his money?

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