A manufacturing plant makes two types of inflatable boats: two-person boats and four-person boats. Each two-person boat requires 1 labor-hour from the cutting department and 2 labor- hour from the assembly department. Each four-person boat requires 2 labor-hours from the cutting department and 2 labor-hours from the assembly department. The maximum labor- hours available per month in the cutting department and the assembly department are 600 and 700, respectively. The company makes a profit of $25 on each two-person boat and $40 on each four-person boat. (A) Write the linear programming that maximizes the profit. (B) Solve part (A) graphically.
A manufacturing plant makes two types of inflatable boats: two-person boats and four-person boats. Each two-person boat requires 1 labor-hour from the cutting department and 2 labor- hour from the assembly department. Each four-person boat requires 2 labor-hours from the cutting department and 2 labor-hours from the assembly department. The maximum labor- hours available per month in the cutting department and the assembly department are 600 and 700, respectively. The company makes a profit of $25 on each two-person boat and $40 on each four-person boat. (A) Write the linear programming that maximizes the profit. (B) Solve part (A) graphically.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![A manufacturing plant makes two types of inflatable boats: two-person boats and four-person
boats. Each two-person boat requires 1 labor-hour from the cutting department and 2 labor-
hour from the assembly department. Each four-person boat requires 2 labor-hours from the
cutting department and 2 labor-hours from the assembly department. The maximum labor-
hours available per month in the cutting department and the assembly department are 600 and
700, respectively. The company makes a profit of $25 on each two-person boat and $40 on
each four-person boat.
(A) Write the linear programming that maximizes the profit.
(B) Solve part (A) graphically.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fde1064-a6b6-4339-9493-cdb828b8cc21%2Fadd7a4fe-6909-4ae0-9334-c9377b171ce5%2Frtr6usk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A manufacturing plant makes two types of inflatable boats: two-person boats and four-person
boats. Each two-person boat requires 1 labor-hour from the cutting department and 2 labor-
hour from the assembly department. Each four-person boat requires 2 labor-hours from the
cutting department and 2 labor-hours from the assembly department. The maximum labor-
hours available per month in the cutting department and the assembly department are 600 and
700, respectively. The company makes a profit of $25 on each two-person boat and $40 on
each four-person boat.
(A) Write the linear programming that maximizes the profit.
(B) Solve part (A) graphically.
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