(a) Explanation Given: Ginger devotes 10 hours per week and her fencing partner can work with her at most 2 hours per week. A 130-pound person like Ginger will burn an average of 236 calories per hour doing tai chi, 295 calories per hour riding a unicycle, and 354 calories per hour in fencing. Explanation: Consider that a 130-pound person like Ginger will burn an average of 236 calories per hour doing tai chi, 295 calories per hour riding a unicycle, and 354 calories per hour in fencing. Ginger devotes 10 hours per week and her fencing partner can work with her at most 2 hours per week. Let x 1 be the number of hours doing tai chi, x 2 be the number of hours doing unicycling, and x 3 be the number of hours doing fencing. Maximize z = 236 x 1 + 295 x 2 + 354 x 3 Subject to x 1 + x 2 + x 3 ≤ 10 x 3 ≤ 2 − x 1 + 2 x 2 ≤ 0 with x 1 ≥ 0 , x 2 ≥ 0 , x 3 ≥ 0 First simplex tableau is [ x 1 x 2 x 3 s 1 s 2 s 3 z 1 1 1 1 0 0 0 10 0 0 1 0 1 0 0 1 − 1 2 0 0 0 1 0 0 − 236 − 295 − 354 0 0 0 1 0 ] Pivot 1 in column 3, row 2 R 1 → − R 2 + R 1 R 4 → R 4 + 354 R 2 Then [ x 1 x 2 x 3 s 1 s 2 s 3 z 1 1 1 1 − 1 0 0 8 0 0 0 0 − 1 0 0 2 − 1 2 2 0 0 1 0 0 − 236 − 295 − 295 0 354 0 1 708 ] Pivot 2 in row 3, column 2 R 1 → 2 R 1 − R 3 R 4 → 2 R 4 + 295 R 3 [ x 1 x 2 x 3 (b) To determine To show: How the solution from part (a) can be found without using the simplex method.

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

See similar textbooks

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

Videos

Question

Chapter 4, Problem 47RE

(a)

To determine

How many hours per week should Ginger spend on each activity to maximize the number of calories she burns, and the maximum value of calories that she will burn.

(b)

To determine

To show: How the solution from part (a) can be found without using the simplex method.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4, Problem 46RE

Chapter 5.1, Problem 1E

Students have asked these similar questions

@if {fx. KG A} is collection of Countin uous function on a to Polgical Which separates Points Srem closed set then the toplogy onx is the weak toplogy induced by the Map fx. Prove that using dief speParts Point 1 B closed and x&B in X then Sor some kεA fx (X) fx (B). + space

1.2.9. (-) What is the minimum number of trails needed to decompose the Petersen graph? Is there a decomposition into this many trails using only paths?

You are planning an experiment to determine the effect of the brand of gasoline and the weight of a car on gas mileage measured in miles per gallon. You will use a single test car, adding weights so that its total weight is 3000, 3500, or 4000 pounds. The car will drive on a test track at each weight using each of Amoco, Marathon, and Speedway gasoline. Which is the best way to organize the study? Start with 3000 pounds and Amoco and run the car on the test track. Then do 3500 and 4000 pounds. Change to Marathon and go through the three weights in order. Then change to Speedway and do the three weights in order once more. Start with 3000 pounds and Amoco and run the car on the test track. Then change to Marathon and then to Speedway without changing the weight. Then add weights to get 3500 pounds and go through the three gasolines in the same order.Then change to 4000 pounds and do the three gasolines in order again. Choose a gasoline at random, and run the car with this gasoline at…

Chapter 4 Solutions

Finite Mathematics (11th Edition)

Ch. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - Prob. 2E Ch. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - Prob. 4E Ch. 4.1 - For Exercises 5-8. (a) determine the number of...Ch. 4.1 - Prob. 6E Ch. 4.1 - For Exercises 5-8, (a) determine the number of...Ch. 4.1 - For Exercises 5-8, (a) determine the number of...Ch. 4.1 - Introduce slack variables as necessary, then...Ch. 4.1 - Introduce slack variables as necessary, then write...

Knowledge Booster

Learn more about

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

How many hours per week should Ginger spend on each activity to maximize the number of calories she burns, and the maximum value of calories that she will burn.

Solution Summary: The author calculates how many hours per week Ginger should spend on each activity to maximize the number of calories she burns.

Concept explainers

Videos

How many hours per week should Ginger spend on each activity to maximize the number of calories she burns, and the maximum value of calories that she will burn.

To show: How the solution from part (a) can be found without using the simplex method.

Want to see the full answer?

Chapter 4 Solutions