Explanation Given: A Flexscan set gives a profit of $350 and a Panoramic I set gives a profit of $500. Both sets take 5 hours and 7 hours, respectively during assembly. The cabinet shop spends 1 hour and 2 hours on the sets, respectively. Both the sets take 4 hours for testing and packaging. The company has 3600 available hours on the assembly line, 900 hours in the cabinet shop, and 2600 hours for testing and packaging. Explanation: Let the number of units of the Flexscan set and that of the Panoramic I set be denoted by x and y , respectively. Let the total profit obtained be denoted by p dollars: p = 350 x + 500 y + 354 z The restrictions can be represented by the following set of inequalities: 5 x + 7 y ≤ 3600 x + 2 y ≤ 900 4 x + 4 y ≤ 2600 Also, the number of units produced can’t be negative. This gives rise to two nonnegative constraints. x ≥ 0 , y ≥ 0 This optimization problem can be written as Maximize p = 350 x + 500 y + 354 z Subject to 5 x + 7 y ≤ 3600 x + 2 y ≤ 900 4 x + 4 y ≤ 2600 with x ≥ 0 , y ≥ 0 The problem can be solved using MS-Excel. Proceed with the following steps. Step 1: Open an empty workbook and type the initial guesses for variables x and y as 0 and 0, respectively in cells A2 and B2. Step 2: In cell C2, type in the objective function as the formula replacing x with A2 and y with B2.

11th Edition

ISBN: 9780321979438

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

Publisher: PEARSON

See similar textbooks

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Videos

Question

Chapter 4.2, Problem 34E

To determine

The highest and the lowest values of profits on a Flexscan and a Panoramic I set that do not change the solution for the system.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.2, Problem 33E

Chapter 4.2, Problem 35E

Students have asked these similar questions

Given: Circle J 2 What is the value of y? A. 38 C. 68 B. 50 D. 92

please find the answers for the yellows boxes using the information and the picture below

Consider the function f(x) = x²-1. (a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative. Show all your steps clearly. (b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the graph where x 1 and x-> 1+h (for a small positive value of h, illustrate conceptually). Then, draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the value you found in part (a). (c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in the context of the graph of f(x). How does the rate of change of this function vary at different points?

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.

The highest and the lowest values of profits on a Flexscan and a Panoramic I set that do not change the solution for the system.

Solution Summary: The author explains how to determine the highest and lowest values of profits on Flexscan and Panoramic I sets that do not change the solution for the system.

Concept explainers

Videos

The highest and the lowest values of profits on a Flexscan and a Panoramic I set that do not change the solution for the system.

Want to see the full answer?

Chapter 4 Solutions