Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day.

Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day.

Name: Suppose a furniture builder has two models of a bookcase: standard an
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Suppose a furniture builder has two models of a bookcase: standard and artisan. The standardmodel requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2hours to assemble and 4 hours for finishing touches. Based

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: The amount of nitrogen (in lb/acre), phosphate (in lb/acre), and labor (in hr/acre) needed to grow…

A: (a) Let x acres of honeydews, y acres of yellow onion and z acres of lettuce According to given…

Q: A furniture store expects to sell 120 coffee tables during the next year. It costs $1.50 to store…

Q: Assuming you just opened a vehicle (cars and trucks) parking company in New York City. The total…

A: The linear programming problem or optimization problem is the method of finding the maximum or a…

Q: A furniture company makes dining room furniture. A buffet requires 40hours for construction and 10…

A: A furniture company makes dining room furniture. A buffet requires 40 hours for construction and 10…

Q: A company produces two types of hand soaps: a solid and a liquid soap. The cost of production for a…

A: From the given data:x1=200+100p2-p1 and x2=500-150p2Total…

Q: A company makes a single product on two separate production lines, A and B. Its labor force is…

Q: An air conditioner manufacturer recommends that its portable units provide between 4 and 6 BTUs of…

A: Given: Portable unit provide between 4 to 6 BTU's of cooling per cubic foot to operate. Concept:…

Q: A company makes a single product on two separate production lines, A and B. Its labor force is…

Q: Suppose that a company needs 1,800,000 items during a year and that preparation for each production…

Q: Suppose the production function for an airframe is Q = LK (Quantity = labor x capital) The price of…

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: First we will construct a linear programming problem using the given informations and then we will…

Q: The supervisor at the Precision Machine Shop wants to determine the staffing policy that minimizes…

A: Arrival rate of tool = 8 machinists per hoursHourly Pay of each machinist = $25Junior attendant is…

Q: A farmer wishes to cover his field with a nitrogen-based fertilizer so that there is 2 pounds of…

Q: A small manufacturing company produces child-sized and adult-sized adirondack chairs. The company…

A: Let Company produces (x) child size chairs and (y) adult size chairs. Therefore, Total number of…

Q: A plant can manufacture 40 tennis racket per day for a total daily cost of $3,500 and 22 tennis…

A: Given: A plant can manufacture 40 tennis racket per day for a total daily cost of $3,500 and 22…

Q: A manufacturer of hot tubs makes two kinds of hot tubs - Bill and Jane. Bill requires 8 hours of…

A: Given that bill hot tub requires 8 hours of labor and Jane hot tub requires 12 hours of labor.Also…

Q: A company produces two types of hand soaps: a solid and a liquid soap. The cost of production for a…

A: Given that the cost of production of 1 unit of solid soap is 10 cents = 0.1 dollars and the cost of…

Q: Cost

Q: Your company decides to conduct some production analysis for two of its most popular brands of cups.…

Q: A manufacturer makes two types of tractors, the X-Harvester and the Y-Combine. The time for…

A: Due to Bartleby answering guidelines I have solved only first three Subparts of the given question.

Q: A manufacturer of skis produces two types: downhill and cross-country. The times required for…

Q: A company produces two types of hand soaps: a solid and a liquid soap. The cost of production for a…

A: Given that the cost of production per soap is 10 cents and that per liquid soap is 20 cents. Let x1…

Topic Video

Question

Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard
model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2
hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can
manage a maximum number of assembly hours available is 50 per day, and the maximum number
of finishing hours available is 64 per day.
Let x = the number of standard model bookcases produced per day and y = the number of artisan
model bookcases produced per day.
Write the system of inequalities that represents the maximum number of bookcases that can be
produced in one day.
< 50
< 64
x >0
Graph the system of inequalities, remember to include x >0 and y > 0 in your graph to get full
credit. You will need to include four lines.
25
24
VI

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

When a company offers a new product or service, they estimate how much of that product or service people will want at different prices. This is referred to as the product or service demand . As the price of a product or service increases, the demand usually decreases, and this drives the price down. Companies use the estimated demand to determine how much of a product or service they are willing to supply at different prices. As the price of a product or service increases, companies are willing to supply more of it because they will earn more money. If you graph the demand and the supply curves on the same xy-plane, they will sometimes intersect at the point where the price and the supply are in equilibrium. Consider the scenario below. Yaseen is a local artist who wants to increase the amount of money she earns every month by selling at-home painting kits. These kits will include a photograph of the finished painting, a link and password to Yaseen’s YouTube channel where she will…
The firm WebsAreUs creates and maintains Web sites for client companies. There are two types of Web sites: “Hot” sites change their layout frequently but keep their content for long times; “cool” sites keep their layout for a while but frequently change their content. Maintaining a hot site requires 1.5 hours of layout time and 2 hour for content changes. Maintaining a cool site requires 1 hour of layout time and 2 hr for content changes. Everyday WebsAreUs has 12 hrs available for layout changes and 16 hr for content changes on a hot site. Net profit is $50 for a set of changes on a hot site and $250 for a set of changes on a cool site. To maximize profit, how many of each type of site should WebsAreUs maintain daily? How, if at all, do the maximum profit and optimal policy change if the company must maintain at least two hot and 3 cool sites daily?
A company produces widgets at plants 1 and 2. It costs 125x1y2 dollars to produce x units at plant 1 and 235x1y3 dollars to produce x units at plant 2.Each plant can produce up to 500 units. Each unit produced can be sold for $10. At most 800 widgets can be sold. Determine how -the company canmaximize its profit.
A plane carrying food and water to a resort island can carry a maximum of 2700027000 pounds and is limited in space to carrying no more than 550550 cubic feet. Each container of water weighs 6060 pounds and takes up 11 cubic foot of cargo space. Each container of food weighs 150150 pounds and takes up 55 cubic feet. Hotels on the island will buy the food for 1919 dollars a pound and the water for 55 dollars per pound. What is the optimum number of containers of each item that will maximize the revenue generated by the plane? What is the maximum revenue? Let x represent the number of food containers and y represent the number of water containers.
A company makes three components for sale. The components are processed on two machines: a shaper and a grinder. The time required. (in minutes) on each machine are as follows: Component Shaper Time Grinder Time A 6 4 B 4 5 C 4 2 The shaper is available for 7200 min. and grinder for 6600 min. No more than 200 units of component C can be sold, but up to 1000 units of each of the other components can be sold. In fact the company has orders for 600 units of component A that must be satisfied. The profit contributions for components A, B and C are $8, $6 and $9 respectively. Formulate the problem for deciding the production quantities. Solve the problem using Excel Solver. Run the sensitivity analysis report in Excel Solver. What are the objective coefficient ranges (Range of Optimality) for each coefficient. Interpret these. What are the dual prices for each constraint? Interpret these. What are the right-hand side ranges (Range of Feasibility)? Interpret them. If more time is…
Suppose that a company needs 1,500,000 items during a year and that preparation for each production run costs $900. Suppose also that it costs $14 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized.