A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor and brings a profit of $2.50. The football uses 3 ounces of foam and 30 minutes of labor and brings a profit of $2. The manufacturer has available 51 pounds of foam and 124 labor-hours a week. Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution. Set up the initial simplex tableau. Let x and y be the number of basketballs and footballs that are produced each week, respectively. M V M (Simplify your answers.)

A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor and brings a profit of $2.50. The football uses 3 ounces of foam and 30 minutes of labor and brings a profit of $2. The manufacturer has available 51 pounds of foam and 124 labor-hours a week. Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution. Set up the initial simplex tableau. Let x and y be the number of basketballs and footballs that are produced each week, respectively. M V M (Simplify your answers.)

Name: 4.2.21-BEQuestion HelpA toy manufacturer makes lightweight balls for
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: 4.2.21-BEQuestion HelpA toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor and brings a profit of $2.50. The footballuses 3 ounces of foam and 30 minutes of labor and brings a

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: Solve , y" + 9y = cos(3t) y(0)=2, y'(0)=5 & {y"}+9£_{y} =L{Cos 34} £{coskt}: L, Y (s) = .... Lo…

Q: 5) Maximizing Revenue You are the marketing manager for LTCC Ski Area, from the previous experience,…

A: The question mentions that the manager can sell 3000 lift tickets when the price is set at $40. Now,…

Q: You are constructing a 480 cubic feet box. The bottom of the container costs $5 per square foot to…

Q: My Family is going to buy 4 types of pears. Golden, Dwarf, Russett, and Asian. Family Members like…

A: Sure, I can help you with that! Excel Solver is a powerful optimization tool that can help you find…

Q: Rough Stuff makes 2 products: khaki shorts and khaki pants for men. Each product passes through the…

A: Contribution margin per hour = Contribution margin per unit / Hour per unit

Q: ABC manufacturing has $95 for the sale of sofa bed and $185 for the bed frames. It takes 5 hours to…

A: Operation research

Q: A rectangular silo with open top and has a square base for food storage is a school project of two…

A: We will use the basic knowledge of formulas of surface area and volume of cuboid, and the knowledge…

Q: A company estimates that it can sell 4,000 units each month of its product if it prices each unit at…

A: Let x be the number of units. The price of each unit is $80, then the prices of each unit is…

Q: A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. The…

A: Given that, the market price of the unicorn is $12 per pound, rate of fall of price is -0.10 pounds…

Q: maximize The Saddle Mine costs $14,000/day to operate, and it vields 50 oz of gold and 3000 oz of…

Q: Mr. Cruz has 500 acres of land in which he intends to plant 2 crops corn and wheat. It cost 120 per…

A: Let x be the number of acres to plant corn, and y be the number of acres to plant wheat. Given that…

Q: Q4. A bed mart company is in the business of manufacturing beds and pillows. The company has 40…

A: Let us denote the number of beds by and the number of pillows by . We have to computethe daily…

Q: A company is desgining a rectangular box with a closed top and a square base. The volume of the box…

Q: We are tasked with constructing a rectangular box with a volume of 13 cubic feet. The material for…

A: The problem is to minimize the cost of rectangular box with volume 13 ft3 Surface Cost/ sq feet…

Q: herseys makes chocolate. the old way 6gm sugar and 3 gm chocolate per liter. the new process uses…

A: There are two processes of making chocolates that are given in the problem. First is by using the…

Q: Micah's gym is moving into a bigger space, where he can have more stationary bicycles and treadmills…

Q: A car rental agency rents 300 cars per day at a rate of $55 per day. For each $1 increase in the…

A: A car rental agency rents 300 cars per day at a rate of $55 per day. For each $1 increase in the per…

Topic Video

Question

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

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, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

help
Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 54 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $500 for labor replacing shocks and $300 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do enter your response here shock replacements and enter your response here brake replacements every week to maximize his weekly income.
UB is hosting a charity event and makes a profit of $14 on each faculty in attendance and $6 on each student in attendance. The number of faculty attending must be between 25 and 65, and the number of students should be between 20 and 35. The total number of attendees should not exceed 80. How many faculty should attend to maximize profit?
Yang's Material Company hauls gravel to a construction site, using a small truck and a large truck. The carrying capacity and operating cost per load are given in the accompanying table. Yang must deliver a minimum of 120 cubic yards per day to satisfy his contract with the builder. The union contract with his drivers requires that the total number of loads per day is a minimum of 5. How many loads should be made in each truck per day to minimize the total cost? Capacity (yd³) Cost per Load Small Truck Large Truck 40 30 $90 $72 In order to minimize the total cost, the number of loads in a small truck that should be made is be made is. and the number of loads in a large truck that should
macys needs to hire staff at minimum cost. the average monthly salary of a manager is $2400 and the average monthly salary of a clerk is $1100. The company can accommodate up to 45 workers and needs at least 30 to run properly. They must have at least 10 clerks and may have up to 3 clerks for every 2 managers. How many managers and clerks should macys hire to minimize cost. what is the minimum cost? using simplex
A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. The market price for unicorn is $12 per pound, but is falling 10 cents per day. The rapidly growing unicorn is currently weighing 400 pounds and is expected to gain 5 pounds per day for the next two to three weeks. The costs to raise a typical unicorn are $5 per day plus $100 for a special unicorn harness and feedbag. What is the optimal time to sell the unicorn to the Jewel Riders? I need to use the Five Step Method for mathematical modeling. Ask the Question. The Question must be phrased mathematically and object must be stated in precise mathematical terms. List all variables and assumptions you are making about them. Do not confuse variables with constants in the problem. Check units for consistency. Select a modeling approach. This could be optimization in one or more variables, linear programming, or many other approaches available in the field of math. Formulate the model. Restate…
find: a. The optimal solution for PLE. b. Find the whole solution, rounded. c. How much profit could a company lose if it implemented the rounded solution? Your answer must be accompanied by your calculation memory in pdf file, it will not be valid without this support. Maximize 6X1 + 2X2 + ХЗ r.a: 4X1 + 2X2 + 7X3 > 54 3X1 + 9X2 + 8X3 0 and integers
A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. The market price for unicorn is $12 per pound, but is falling 10 cents per day. The rapidly growing unicorn is currently weighing 400 pounds and is expected to gain 5 pounds per day for the next two to three weeks. The costs to raise a typical unicorn are $5 per day plus $100 for a special unicorn harness and feedbag. What is the optimal time to sell the unicorn to the Jewel Riders? P(x)= -.5x2+15x+4700 P'(x)= -x+15 p"(x)= -1 < 0 SENSITIVITY ANALYSIS: (This is the part I am a bit uncertain about. The questions below.) Any help is much appreciated. 1. Preform a sensitivity analysis of the optimal time to sell versus the variable cost to raise a unicorn (harness still $100). 2. So if the actual variable cost was $4.00 per day instead of $5.00 (20% decrease), what would you estimate for the best time to sell based on your sensitivity results? 3. Finally, substitute $4.00 for the variable…
You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular pool walls, and the fourth side will have the infinity pool wall. Regular pool walls cost $15 per foot (regardless of how deep the pool is), and the infinity pool wall costs $35 per foot (regardless of depth). How long should you make the infinity wall so that you minimize your costs?