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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 56E
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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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