A machine shop specializes in two types of product – bearings and amatures. The production of the bearings and armatures requires three operations – forging, machining, and finishing. Manufacturing a bearing requires 3.6 hours of forging. 10.8 hours of machining, and 2.4 hours of finishing. Manufacturing a armature requires 2.4 hours of forging, 4.8 hours of machining, and 12 hours of finishing. The factory has allocated at most 79.2 labor hours for forging, 216 labor hours for machining, and 240 labor hours for finishing. The profit per bearing is S108 and the profit per armature is $90. 1. How many bearings and how many armatures should be produced each day to maximize the profit? 2. Should we reduce hours on any employees in any departments? Please fully support your answer below.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 13E
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A machine shop specializes in two types of product- bearings and armatures. The production of the bearings and
armatures requires three operations – forging, machining, and finishing. Manufacturing a bearing requires 3.6 hours of
forging, 10.8 hours of machining, and 2.4 hours of finishing. Manufacturing a armature requires 2.4 hours of forging, 4.8
hours of machining, and 12 hours of finishing. The factory has allocated at most 79.2 labor hours for forging, 216 labor
hours for machining, and 240 labor hours for finishing. The profit per bearing is S108 and the profit per armature is $90.
1. How many bearings and how many armatures should be produced each day to maximize the profit?
2. Should we reduce hours on any employees in any departments? Please fully support your answer below.
Transcribed Image Text:A machine shop specializes in two types of product- bearings and armatures. The production of the bearings and armatures requires three operations – forging, machining, and finishing. Manufacturing a bearing requires 3.6 hours of forging, 10.8 hours of machining, and 2.4 hours of finishing. Manufacturing a armature requires 2.4 hours of forging, 4.8 hours of machining, and 12 hours of finishing. The factory has allocated at most 79.2 labor hours for forging, 216 labor hours for machining, and 240 labor hours for finishing. The profit per bearing is S108 and the profit per armature is $90. 1. How many bearings and how many armatures should be produced each day to maximize the profit? 2. Should we reduce hours on any employees in any departments? Please fully support your answer below.
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