The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and 1 2 hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 24 per day, and the maximum number of painting hours available is 8 per day. If the profit on the deluxe model is $92 per unit and the profit on the economy model is $78 per unit, how many units of each model will maximize profit?

The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and 1 2 hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 24 per day, and the maximum number of painting hours available is 8 per day. If the profit on the deluxe model is $92 per unit and the profit on the economy model is $78 per unit, how many units of each model will maximize profit?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: A pet food manufacturer produces two types of food: Regular and Premium. A 20kg bag of regular food…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: A farmer, in the business of growing fodder for livestock, has 90 acres available for planting…

A: Total area of land available to a farmer = 90 acres.The cost of seed of alfalfa per acre = $32.The…

Q: Nicole runs a store that sells fancy chocolates. Each batch ofBlack Hole Dark Truffles takes 4…

A: An optimization problem has one objective function and one or more constraints. Let the number of…

Q: CoffeeAM sells chocolate-covered blueberries for $10.95 per pound and chocolate-covered strawberries…

A: topic - equation in one variable

Q: Sweet-Fit jeans has a factory that makes two styles of jeans; Super-Fit and Super-Hug. Each pair of…

A: Given: The factory makes two styles of jeans: Super-Fit and Super-Hug. It takes 18 minutes to cut…

Q: An electronics company has factories in Cleveland and Toledo that manufacture Blu-ray and DVD…

Q: The bakery at Sam's club makes jumbo cookies and regular cookies. The oven can make at most 200…

A: Let x and y be the be the number of jumbo cookies and regular cookies to be made respectively. So…

Q: Sweet-Fit jeans has a factory that makes two styles of jeans; Super-Fit and Super-Hug. Each pair of…

A: As linear programming already formed so we will use simplex method to solve it .

Q: Wellbullt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires…

A: To find how many units of each model will maximize the profit, given that profit by deluxe model is…

Q: After helping his neighbor mow lawns, Joe decides to start his own lawn service business. He decides…

A: Solution: a) Since $ 70 is charged to each customer if x lawns are mowed Total Revenue R(x) =70x

Q: A company makes pancake mix and cake mix. Each pound of pancake mix uses 0.6 lb of flour and 0.1 lb…

Q: Each summer, a jet ski company rents both jet skis and water skis to its guests for a flat daily…

Question

100%

The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and

hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 24 per day, and the maximum number of painting hours available is 8 per day. If the profit on the deluxe model is $92 per unit and the profit on the economy model is $78 per unit, how many units of each model will maximize profit?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The Callaghan family owns 410 acres of farmland in Co. Cork on which they grow wheat and oats. Each acre of wheat costs €105 to plant, cultivate, and harvest; each acre of oats costs €210. The Bradleys have a budget of €52,500 for next year. The government limits the number of acres of oats that can be planted to 100. The profit from each acre of wheat is €300; the profit from each acre of oats is €520. The Callaghans want to know how many acres of each crop to plant in order to maximize their profit. iii. Represent the problem in graphical format and highlight the feasible region.
ou are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.+ Your home has 40 light fittings and 1,300 square feet of uninsulated exterior wall. You can spend no more than $1,400 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? (If an answer does not exist, enter DNE.) compact fluorescent light bulbs
O'Connel Airlines is considering air service from its hub of operations in Cicely, Alaska, to Madison, Wisconsin, and Seattle, Washington. O'Connel has one gate at the Cicely Airport, which operates 10 hours per day. Each flight requires 1 hour of gate time. Each flight to Madison consumes 15 hours of pilot crew time and is expected to produce a profit of $3000. Serving Seattle uses 10 hours of pilot crew time and will result in a profit of $2500 per flight. Pilot crew labor is limited to 120 hours per day. The market for service to Seattle, Washington is limited to a maximum of eight flights per day. Formulate this problem and then SOLVE it using the graphical solution method. The objective is to maximize profits for O'Connel Airlines.
A graphic designer can design a magazine cover or a logo. Her company makes a profit of $800 for each magazine cover and $500 for each logo. She estimates that it takes her 4 hours of brainstorming for a magazine cover and 2 hours of brainstorming for a logo. She'd like to keep the total brainstorming time under 24 hours a week. Further, she estimates that it takes her 2 hours to lay out a magazine cover and 0.5 hours to sketch up a logo, and she must fit this into 10 hours a week. Her boss requires her to design no more than 4 logos for each magazine cover she designs. How many of each should she design in order to maximize the company's profits? magazine covers logos What is the maximum profit? $
Suppose you make beautiful coffee tables out of juniper trees. Your materials cost for each table is $135. You pay your craftsman $25 per hour and it takes him 5 hours to complete one table. If you sell these tables for $689, What is the Gross Profit Margin on the coffee tables
you are looking to move and you price out two separate moving companies. Chris's Moving Company charges a base charge of $175 and $0.27 per mile. Colleen's Moving Company charges a base charge of $150 and $0.51 per mile. For how many miles driven will the two companies' total cost be the same?
Suppose that a small company produces two different models of kayaks. A larger model and smaller model. The larger model requires 2 hours of manufacturing, 2 hours for assembly and 3 hours for packaging. The smaller model requires 2 hours for manufacturing, 1 hour for assembly and 2 hours for packaging. Each week the company has 120 hours available for manufacturing, 80 hours available for assembly and 132 hours available for packaging. If the company makes a profit of $75 for each of the larger model manufactured and profit of $60 for each smaller model manufactured, how many of each model should the company produce in order to maximize profit ?
Sweet-Fit jeans has a factory that makes two styles of jeans; Super-Fit and Super-Hug. Each pair of Super- Fit takes 12 minutes to cut and 30 minutes to sew and finish. Each pair of Super-Hug takes 12 minutes to cut and 40 minutes to sew and finish. The plant has enough workers to provide at most 12,599 minutes per day for cutting and at most 37,999 minutes per day for sewing and finishing. The profit on each pair of Super-Fit is $6.00 and the profit on each pair of Super-Hug is $7.00. How many pairs of each style should be produced per day to obtain maximum profit? Find the maximum daily profit. (Use x for Super-Fit and y for Super-Hug.) Maximize P = < 12,599 ≤37,999 Maximum profit is $ subject to Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round jeans to 1 decimal place and profit to 2 decimal places. Number of Super-Fit jeans to…