Manufacturer makes two types of electric hammers, heavy duty and regular. Heavy duty model requires 3 hours to assemble and ½ hour to finish and package. Regular one requires 2 hours to assemble and 1 hour to finish and package. The maximum number of assembly hours is 24 per day, and the maximum number hours available for finishing and packaging is 8 per day. If profit on heavy duty model is $90 per unit and profit on regular model is $72 per unit, how many of each model will maximize profit?

Manufacturer makes two types of electric hammers, heavy duty and regular. Heavy duty model requires 3 hours to assemble and ½ hour to finish and package. Regular one requires 2 hours to assemble and 1 hour to finish and package. The maximum number of assembly hours is 24 per day, and the maximum number hours available for finishing and packaging is 8 per day. If profit on heavy duty model is $90 per unit and profit on regular model is $72 per unit, how many 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: Two pools are being filled with water. To start, the first pool contains 773 liters of water and the…

A: Let 'x' be the number of minutes

Q: madison square garden seats 15000 people. Courtside seats cost $8, first level seats cost $6 and…

Q: purchase

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: An office building has 2 types of offices: large and small. The large offices rent for $1,164.96 per…

A: Let x be the large of offices y be the small offices.

Q: A furniture company makes dining room furniture. A buffet requires 30 hours for construction and 10…

Q: A donut shop makes 2 kinds of donuts: fried and baked. Each donut requires flour, sugar, and time…

A: A) We will make a table of values. Flour (cups) Sugar (cups) Time (minutes) Price (dollars)…

Q: The phones at Affordable Cellphones vary in price depending upon demand. The average flip phone has…

A: Just list out the given conditions and then create a quadratic equation using those conditions and…

Q: Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 15 minutes, has…

A: Let the quantity of Toot of noisemaker be x1, quantity of Wheet of noisemaker be x2 and quantity of…

Q: Goodlife Medical Center has acquired a new equipment to be used in laser operations. It classifies…

A: Given: Goodlife medical center has acquired a new equipment to be used in laser operations. There…

Q: In 1 year, a health food manufacturer produces and sells 240,000 cases of vitamins. It costs $2 to…

Q: You are thinking of making your home more energy efficient by replacing some of the light bulbs with…

A: Given- You are thinking of making your home more energy efficient by replacing some of the light…

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: A Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 15 minutes, has…

A: Let us solve the given LPP problem with the help of Simplex method in the next steps.

Q: A company that makes wooden tables and chairs has its production process with two basic types of…

A: It is provided that the item T requires 2 hours of carpentry and 1 hour of finishing. It is provided…

Q: Blackjack Company is a local producer of Black shampoo. The company wants to determine the…

A: 1) Let x cases of men's shampoo are produced per day and let y cases of women's shampoo are produced…

Q: A toy factory creates miniature steel train engines and box cars. The fabrication department has…

Question

Manufacturer makes two types of electric hammers, heavy duty and regular. Heavy duty model
requires 3 hours to assemble and ½ hour to finish and package. Regular one requires 2 hours to
assemble and 1 hour to finish and package. The maximum number of assembly hours is 24 per
day, and the maximum number hours available for finishing and packaging is 8 per day. If profit
on heavy duty model is $90 per unit and profit on regular model is $72 per unit, how many 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.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Mikhail delivers pizzas as a part-time job. He works 5 hours a day, 3 days a week. Each day, Mikhail is paid either $4 per pizza that he delivers or $12 per hour, whichever daily amount is higher. Mikhail delivered the following number of pizzas: 18 on Friday, 26 on Saturday, and 11 on Sunday. What is Mikhail's total pay for these 3 days?
Animal feed is to be made from corn and mixed seeds. One pound of corn has 30 units of fat and 20 units of protein. One pound of mixed seeds has 20 units of fat and 40 units of protein. The feed must supply a daily requirement of 2800 units of fat and 2200 units of protein. What combination of corn and mixed seeds should be used in or- der to make a feed that has a mini- mum total weight? Mixture of corn and other seeds.
A population gathers plants and animals for survival. They need at least 440 units f energy, 300 units of protein, and 8 hides. One unit of plants provides 30 units of energy, 10 units of protein, and 0 hides. One animal provides 20 units of energy, 25 units of protein, and 1 hide. Only 26 units of plants and 27 animals are available. It costs 20 hours of labor to gather one unit of a plant and 12 hours for an animal. Find how many units of plants and animals should be gathered to meet the requirements with a minimum number of hours of labor. The population should gather 3 units of plants and 11 animals. (Simplify your answers.)
Jessica has twice as much money as Matthew. Jessica has four times as much money as Sam. Sam has $7 more than Andrew. Matthew has $28. How much money do Matthew, Andrew, Sam, and Jessica have all together?
Happy Kid Toy Company produces two types of toy cars, A and B. The company makes RM 50 profit for each toy car of type A and RM 30 profit for each toy car of type B. It takes 4 hours to produce the parts of one unit of A, 2.5 hours to assemble and 1.5 hours to paint. It takes 2 hours to produce the parts of one unit of B, 1 hour to assemble and 2 hours to paint. Every month, 2000 hours are available for pruducing the parts, 1800 hvurs for assembling the parts and 1550 hours for painting the toy cars. The company wishes to determine the best possible combination of toy cars A and B to be produced monthly to maximise the total profit. (i) Formulate the above as a linear programming problem. (ii) Solve the problem graphically. Obtain the optimal product mix and calculate the maximum total profit. (iii) By how much could the unit profit of toy car B change before the optimal product mix could change?
please answer this question asap thank you.
After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds. A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss when combining their special diet with running a mile a day over a period of two weeks. Interested in studying the dietitian's article further, you ask friends who have tried the dietitian's new program and you determine their weight loss to be 3.0 pounds in a two-week period, on average. As you set up a hypothesis test to determine if the dietitian's article is correct, what is the dietitian's claim?
A toy factory creates miniature steel train engines and box cars. The fabrication department has 3,679 minutes available per week and the assembly and finishing department has 3,099 minutes available per week. Manufacturing one miniature steel train engine requires 8 minutes of fabrication and 5 minutes of assembling and finishing. Manufacturing one miniature steel box car requires 4 minutes of fabrication and 5 minutes of assembling and finishing. The profit on each miniature steel train engine is $8.00 and the profit on each miniature steel box car is $7.25. How many steel train engines and steel box cars should be produced each week to obtain the maximum profit? Find the maximum weekly profit. (Use x for box car and y for train engine.) Maximize P subject to %3D < 3, 679 < 3, 099 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 toys…
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
Golden tiger is a circus performer who earns $2,384 biweekly. Golden is moving across the country to work for $30.75 per hour and double time for all hours over 35 per week how many hours of overtime must golden work to earn the same as he did at the other circus
Jaclyn and Karen each bought some candies for their classmates. Each of them took out the same number of candies to distribute to their classmates. Jaclyn took out 2/3 of the candies from her bag and gave 7 candies to each of her classmates. She had 9 candies left over in her hands. Karen took out 3/4 of the candies from her bag and gave each of her classmates 10 candies. She was short of 18 candies in the end. How many candies did each girl bring to school at first?
You 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 60 light fittings and 1,200 square feet of uninsulated exterior wall. You can spend no more than $1,300 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? Please don't give handwritten answer..thanku