Explanation Given: The maximum area of walls is six times the area of the windows. The cost to build windows and walls are: Windows = 10 $ per ft 2 Walls = 20 $ per ft 2 The maximum amount available for building both is 12 , 000 $. The monthly cost for heating the house for windows and walls are: Windows = 0.32 $ per ft 2 Walls = 0.2 $ per ft 2 The maximum amount available for heating the house is 160 $. Explanation: Let the area of the windows of x ft 2 and area of wall be y ft 2 . Total area of the windows plus the walls: z = x + y This is the objective function which needs to be maximized. The constraints on the values of x and y are represented in the table: Windows Walls Total Area in ft 2 x Y Cost to build in $ 10 20 ≤ 12 , 000 Cost for heating $ 0.32 0.2 ≤ 160 Area constraint 6 1 ≥ 0 The constraints represented in the form of linear inequalities are: 10 x + 20 y ≤ 12 , 000 x + 2 y ≤ 1200 0.32 x + 0.2 y ≤ 160 32 x + 20 y ≤ 16 , 000 8 x + 5 y ≤ 4000 And, 6 x ≥ y x ≥ 0 y ≥ 0 The linear inequalities are plotted on a graph:

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 3.3, Problem 26E

To determine

The maximum total area which includes windows and walls such that it meets the requirements for cost constraints.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.3, Problem 25E

Chapter 3.3, Problem 27E

Students have asked these similar questions

************* ********************************* Q.1) Classify the following statements as a true or false statements: a. If M is a module, then every proper submodule of M is contained in a maximal submodule of M. b. The sum of a finite family of small submodules of a module M is small in M. c. Zz is directly indecomposable. d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M. e. The Z-module has two composition series. Z 6Z f. Zz does not have a composition series. g. Any finitely generated module is a free module. h. If O→A MW→ 0 is short exact sequence then f is epimorphism. i. If f is a homomorphism then f-1 is also a homomorphism. Maximal C≤A if and only if is simple. Sup Q.4) Give an example and explain your claim in each case: Monomorphism not split. b) A finite free module. c) Semisimple module. d) A small submodule A of a module N and a homomorphism op: MN, but (A) is not small in M.

Prove that Σ prime p≤x p=3 (mod 10) 1 Ρ = for some constant A. log log x + A+O 1 log x "

Prove that, for x ≥ 2, d(n) n2 log x = B ― +0 X (금) n≤x where B is a constant that you should determine.

Chapter 3 Solutions

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

Ch. 3.1 - Graph each linear inequality. x + y 2 Ch. 3.1 - Graph each linear inequality. y x + 1 Ch. 3.1 - Graph each linear inequality. x 2 y Ch. 3.1 - Graph each linear inequality. y x 3 Ch. 3.1 - Graph each linear inequality. 4x y 6 Ch. 3.1 - Graph each linear inequality. 4y + x 6 Ch. 3.1 - Graph each linear inequality. 7. 4x + y 8 Ch. 3.1 - Graph each linear inequality. 2x y 2 Ch. 3.1 - Graph each linear inequality. x + 3y 2 Ch. 3.1 - Graph each linear inequality. 2x + 3y 6

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.

The maximum total area which includes windows and walls such that it meets the requirements for cost constraints.

Solution Summary: The author calculates the maximum area of windows and walls, based on the cost constraints. The feasible region is the bounded region with corner points.

Concept explainers

Videos

The maximum total area which includes windows and walls such that it meets the requirements for cost constraints.

Want to see the full answer?

Chapter 3 Solutions