Solve for the following Linear Programming problems. Your solutions should include: 1. Objective Function 2 Constraints 3. Graph complete with labels of points and lines, and shaded feasible region 4. Corner point approach 5. Optimal solution 6. Maximum profit Problem 1: A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftsman's time in its making while a cricket bat takes 3 hour of machine time and 1 hour of craftsman's time. In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsman's time. If the profit on a racket and on a bat is Php 20.00 and Php 10.00 respectively, find the maximum profit of the factory when it works at full capacity.

Solve for the following Linear Programming problems. Your solutions should include: 1. Objective Function 2 Constraints 3. Graph complete with labels of points and lines, and shaded feasible region 4. Corner point approach 5. Optimal solution 6. Maximum profit Problem 1: A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftsman's time in its making while a cricket bat takes 3 hour of machine time and 1 hour of craftsman's time. In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsman's time. If the profit on a racket and on a bat is Php 20.00 and Php 10.00 respectively, find the maximum profit of the factory when it works at full capacity.

Name: Solve for the following Linear Programming problems. Your solutions s
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Solve for the following Linear Programming problems. Your solutions should include:1. Objective Function2 Constraints3. Graph complete with labels of points and lines, and shaded feasible region4. Corner point approach5. Optimal solution6. Maximum p

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: A Furniture Company produces chairs and tables from two resourceslabor and wood. The company has 80…

Q: A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type…

A: Given that x represent the number of cord-type models, and let y represent the number of cordless…

Q: True or false

A: Given that -

Q: Formulate the following linear programming problem. Be sure to identify thevariables, the…

A: Variables: Let ( x ) be the number of full teams (1 doctor and 3 nurses). Let ( y ) be the number of…

Q: 1. Write the decision variables (in the short form) 2.Write the objective function 3 Write the…

A: As per the question, we are given information about the population of students in 10 different…

Q: Part 1 In this problem you will maximize and minimize the objective function P = 4x + y subject to…

A: firstly draw all constraints and then shaded the required area from which we find corner points at…

Q: Suppose a linear programming (maximization) problem has been solved and the optimal value of the…

Q: 1. Construct the general linear programming problem with the objective function and all constraints.…

A: Given- ABC company makes two types of Frisbees, red and blue. Red Frisbees sell for $10 and blue…

Q: consider the following: Chaka Furniture Shop located in Cavite makes two kinds of products, cabinets…

A: Introduction: Constraints are a set of equations or inequalities. When there is an objective…

Q: Find the minimum and maximum values of z = 10x + 9y, if possible, for the following set of…

Q: A florist sells blue and green daisies. Due to different membership cards, Patty and Dmitri pay…

A: To convert the given word problem into a linear programming model as per the data given.

Q: In this problem you will maximize and minimize the objective function P = x + 2y subject to the…

Q: P= 30x, + X2 (A) Using slack variables, determine the initial system for the linear programming…

A: Given max P=30x1+x2subject to4x1+x2≤12x1+8x2≤12x1, x2≥0 Since all the constraint ≤ type, so we add…

Q: You want to maximize the area of an inscribed rectangle under the line %3D within the FIRST quadrant…

A: Given:- You want to maximize the area of an inscribed rectangle under the…

Q: 7. Brianna makes banana bread and nut bread to sell at a bazaar. A loaf of banana bread requires 2…

A: Given data: The amount of flours is c1=12 cups. Number of eggs is c2=8. The profit per loaf of…

Q: Sec. 3.3 In each of the following linear programming problems, do the following: а. Define…

A: A mathematical statement, which states that two expressions are not equal is called an inequation…

Q: A ball manufacturer produces soccer balls, footballs, and volleyballs. The manager feels that…

A: Let, X be the number of football Y be the number of soccer ball Z be the number of volleyball Our…

Q: Solve for the following Linear Programming problems . ( USING SIMPLEX METHOD) Your solutions should…

A: The following steps are used to find the solution of the linear programming problem by graphical…

Q: Shop A provides 2 hours of cake training, 4 hours of cupcake training and 2 hours of bread training.…

A: To solve this problem, we can use linear programming. First, let's construct a table showing the…

Q: correct mathematical models for the objective functions and constraints

A: Please refer to the image below

Q: A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type…

A: Given The cord type trimmer requires 2 hours to make ,and the cordless model require 4 hours . The…

Q: 2. (Manufacturing problem) A manufacturing company makes two models A and B of a product. Each piece…

A: Linear programming is a statistical technique for establishing the optimum allocation of the limited…

Q: Q.2/ solving a minimization problem, find the minimum value of objective function w=3x1+2x2 Subject…

Q: Objective function z = 5x+6y . Constraints x+y or = 0 nd y > or = 0. c. use the values in part (b)…

A: Given: Objective function: Constraints: To Find:(a) To draw the graph of the feasible region.(b) To…

Q: 7. Set up the linear programming model for the following word problem. Remember, a Linear Pro-…

Q: 1.DEFINE THE OBJECTIVES 2.DEFINE THE CONSTRAINTS 3.DEFINE THE DECISION VARIABLES 4.PARAMETERS…

Q: Consider a linear programming problem with the following constraints. constraint 1: 12X1 + 33X2 = 4…

A: Given that a linear programming problem with the following constraints. To find the…

Q: 29. At a space training program students are tasked with providing a high-performance diet for…

Topic Video

Question

Solve for the following Linear Programming problems. Your solutions should include:
1. Objective Function
2 Constraints
3. Graph complete with labels of points and lines, and shaded feasible region
4. Corner point approach
5. Optimal solution
6. Maximum profit
Problem 1: A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours
of craftsman's time in its making while a cricket bat takes 3 hour of machine time and 1 hour of craftsman's time. In a
day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsman's time. If the
profit on a racket and on a bat is Php 20.00 and Php 10.00 respectively, find the maximum profit of the factory when it
works at full
city.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step by step

Solved in 6 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

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

Similar questions

2. Solve by Lagrange Multiplier Method: Clearly identify your constraint function and your system. You may use either approach you learned in class and on the video. Mr. Eppolito has S360 to spend on fencing to fence a rectangular garden. The fencing for the north and south sides of the garden costs $10/ft. The fencing for the east and west sides costs $15/ft. Find the dimensions that will allow Mr. Eppolito to fence in the largest-sized garden. Draw a diagram of this scenario. Write the method you will use to solve it, then do so, showing all the necessary equations.
A decision problem has the following three constraints: 37X + 23Y <= 851; 19X + 21Y= 399; and 19X - Y <= 0.90476227 . The objective function is Min 3X + 33Y . The objective function value is : a. 0 b. unbounded c. 1200.2856 d. infeasible e. 600.14282
Add the appropriate slack and surplus variables to the system and form the initial simplex tableau. Objective function: z = x1 + x3 тах Constraints: 2 10 4x1 + x2 X1 + x2 + 3x3 < 30 2x1 + x2 + 4x3 = 16 X1, X2, X3 20
Scenario: You are in the process of establishing a small business involving the production of vegetables. Available to you are 50 acres of land space to produce carrots and cabbage. You are hoping to make a profit of $5.00 on the carrots and $4.00 on each cabbage. To produce the crop you have to operate under certain constraints. Required: State at least 3 constraints under which you have to operate? Using your constraints determine the maximum profit you can make from your produce.
the graph of linear function g passes through the points (-7,-4)and (7,6) what are the slope and the y intercept of g
Develop your own set of constraints, at least three equations and/or inequalities, and use them to illustrate graphically each of the following conditions: 1. an unbounded problem
please help me fast.... I will give good rating...