Explanation Given Information: The provided given information is: Each sleep spell costs me 50 therms of aural energy, while each shock spell requires 20 therms he marketing director of company that manufacture bodybuilding supplements and planning to runs ads in sports illustrated and Muscle and Fitness. The overall energy of expenditure of aural energy to a minimum. The estimate each sleep spell keeps us safe for an average of 1.5 hours, while each shock spell protects us for only one-half hour. Each of my spell can immobilize 3 trolls at once, which one of my typical shock spell (having a narrower range) can immobilize only 2 trolls at once. The sister with an onslaught of as many as 52 trolls per day. The Bylaws of the coven dictate that for a magician to remain in good standing, she should cast at least as many shock spells as sleep spell. Formula used: A common kind of economic application is one that leads to a standard maximization problem involving minimizing cost. The minimum cost that is obtained depends on the constraints is: A s + B t + C u + …… ≥ N . Where N is typically the number of units of required quantity. Calculation: As given, each sleep spell costs me 50 therms of aural energy, while each shock spell require 20 therms he marketing director of company that manufacture bodybuilding supplements, and you are planning to runs ads in sports illustrated and Muscle and Fitness. Let x is sleep spell, y is shock spell. According to the above information the equation is as: Minimize c = 50 s + 20 t Subject to 3 s + t ≥ 48 3 s + 2 t ≥ 52 − s + t ≥ 0 s ≥ 0 , t ≥ 0 , u ≥ 0 The matrix is as: [ 3 1 48 3 2 52 − 1 1 0 50 20 0 ] Transpose of above matrix is: [ 3 3 − 1 1 2 1 48 52 0 50 20 0 ] Solving it by dual problem solution as: Maximize p = 48x+52y Subject to 30 x + 3 y − z ≤ 50 x + 2 y + z ≤ 20 x ≥ 0 , y ≥ 0 , z ≥ 0 Set up the initial tableau as: x y z t u p s 3 3 − 1 1 0 0 50 t 1 2 1 0 1 0 20 p − 48 − 52 0 0 0 1 0 Apply operations as: R 1 → 2 R 1 − 3 R 2 R 3

7th Edition

ISBN: 9781337280426

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 5.5, Problem 39E

To determine

To calculate: Number of sleep spells and number of shock spells that Gillian should be use to satisfy the requirement at a minimum cost.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.5, Problem 38E

Chapter 5.5, Problem 40E

Students have asked these similar questions

Q/solve the heat equation initial-boundary-value problem- u+= 2uxx 4 (x10) = x+\ u (o,t) = ux (4,t) = 0

not use ai please

A graph of the function f is given below: Study the graph of ƒ at the value given below. Select each of the following that applies for the value a = 1 Of is defined at a. If is not defined at x = a. Of is continuous at x = a. If is discontinuous at x = a. Of is smooth at x = a. Of is not smooth at = a. If has a horizontal tangent line at = a. f has a vertical tangent line at x = a. Of has a oblique/slanted tangent line at x = a. If has no tangent line at x = a. f(a + h) - f(a) lim is finite. h→0 h f(a + h) - f(a) lim h->0+ and lim h h->0- f(a + h) - f(a) h are infinite. lim does not exist. h→0 f(a+h) - f(a) h f'(a) is defined. f'(a) is undefined. If is differentiable at x = a. If is not differentiable at x = a.

Chapter 5 Solutions

Finite Mathematics

Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - Prob. 6E Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - Prob. 9E Ch. 5.1 - In Exercises 1-26, sketch the region that...

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.

Number of sleep spells and number of shock spells that Gillian should be use to satisfy the requirement at a minimum cost.

Solution Summary: The author calculates the number of sleep spell and shock spells that Gillian should use to satisfy the requirement at a minimum cost.

Videos

To calculate: Number of sleep spells and number of shock spells that Gillian should be use to satisfy the requirement at a minimum cost.

Want to see the full answer?

Chapter 5 Solutions