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.
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,...
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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
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