A company manufactures two products A and B. Each product has to be processed in three departments: welding, assembly and painting. Each unit of A spends 2 hours in the welding department, 3 hours in assembly and 1 hour in painting. The corresponding times for a unit of B are 3, 2 and 1 hours respectively. The employee hours available in a month are 1,500 for the welding department, 1,500 in assembly and 550 in painting. The contribution to profits are $100 for product A and $120 for product B. Suppose X represents the number of units of product A and y represents the number of units of product B. How many units of product A and how many units of product B must be manufactured in order to obtain the maximum profit obtainable? x = 0, y = 500
A company manufactures two products A and B. Each product has to be processed in three departments: welding, assembly and painting. Each unit of A spends 2 hours in the welding department, 3 hours in assembly and 1 hour in painting. The corresponding times for a unit of B are 3, 2 and 1 hours respectively. The employee hours available in a month are 1,500 for the welding department, 1,500 in assembly and 550 in painting. The contribution to profits are $100 for product A and $120 for product B. Suppose X represents the number of units of product A and y represents the number of units of product B. How many units of product A and how many units of product B must be manufactured in order to obtain the maximum profit obtainable? x = 0, y = 500
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.2: Solve Systems Of Equations By Substitution
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Transcribed Image Text:A company manufactures two products A and B. Each product has to be processed in three
departments: welding, assembly and painting. Each unit of A spends 2 hours in the welding
department, 3 hours in assembly and 1 hour in painting. The corresponding times for a unit of B are 3,
2 and 1 hours respectively. The employee hours available in a month are 1,500 for the welding
department, 1,500 in assembly and 550 in painting. The contribution to profits are $100 for product A
and $120 for product B. Suppose
X
represents the number of units of product A and
y
represents the number of units of product B. How many units of product A and how many units of
product B must be manufactured in order to obtain the maximum profit obtainable?
x = 0, y = 500
x = 400, y = 150
x = 150, y = 400
x = 500, y = 0
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