(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.

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

11th Edition

ISBN: 9780133886818

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

10. Suppose the statement -R (SV-T) is false, and that S is true. What are the truth values of R and T? Justify your answer.

5. Rewrite the statements below as an implication (that is, in "if... then..." structure). n is an even integer, or n = 2k - 1 for some k Є Z. x²> 0 or x = 0. 6. Rewrite each statement below as a disjunction (an or statement). If I work in the summer, then I can take a vacation. • If x2 y.

4. Negate the following sentences. Then (where appropriate) indicate whether the orig- inal statement is true, or the negation is true. ⚫ If I take linear algebra, then I will do my homework or go to class. • (x > 2 or x < −2) ⇒ |x| ≥ 2 • P⇒ (QVR) ⇒(¬PV QV R) Vn EN Em E Q (nm = 1) • Ex E N Vy & Z (x. y = 1)

Chapter 4 Solutions

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (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