Homework Help is Here – Start Your Trial Now!
Math
Algebra
A steel company produces two types of machine dies, part A and part B and is bound by the following constraints: • Part A requires 1 hour of casting time and 10 hours of firing time. . Part B requires 4 hours of casting time and 3 hours of firing time. • The maximum number of hours per week available for casting and firing are 100 and 70, respectively. • The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00. Let x = the number of part A produced in a week and y- the number of part B produced in a week. Write a system of three inequalities that describes these constraints.

A steel company produces two types of machine dies, part A and part B and is bound by the following constraints: • Part A requires 1 hour of casting time and 10 hours of firing time. . Part B requires 4 hours of casting time and 3 hours of firing time. • The maximum number of hours per week available for casting and firing are 100 and 70, respectively. • The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00. Let x = the number of part A produced in a week and y- the number of part B produced in a week. Write a system of three inequalities that describes these constraints.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
See similar textbooks
icon
Related questions
Topic Video
Question
100%
Set the linear programming problem. up A steel company produces two types of machine dies, part A and part B and is bound by the following constraints: • Part A requires 1 hour of casting time and 10 hours of firing time. • Part B requires 4 hours of casting time and 3 hours of firing time. • The maximum number of hours per week available for casting and firing are 100 and 70, respectively. • The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00. Let x = the number of part A produced in a week and y = the number of part B produced in a week. Write a system of three inequalities that describes these constraints. 4y s 100 3y s 70 3x + 075y s 45 X + 10 + x + 10y z 100 4x + 3y 2 70 0 75x + 3y s 45 x + 4y s 100 10x + 3y s 70 0 75x 3y 45 *+ 10y s 100 4x + 3y s 70 0.75x 3y s 45
Transcribed Image Text:Set the linear programming problem. up A steel company produces two types of machine dies, part A and part B and is bound by the following constraints: • Part A requires 1 hour of casting time and 10 hours of firing time. • Part B requires 4 hours of casting time and 3 hours of firing time. • The maximum number of hours per week available for casting and firing are 100 and 70, respectively. • The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00. Let x = the number of part A produced in a week and y = the number of part B produced in a week. Write a system of three inequalities that describes these constraints. 4y s 100 3y s 70 3x + 075y s 45 X + 10 + x + 10y z 100 4x + 3y 2 70 0 75x + 3y s 45 x + 4y s 100 10x + 3y s 70 0 75x 3y 45 *+ 10y s 100 4x + 3y s 70 0.75x 3y s 45
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS