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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.

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 and Trigonometry (6th Edition)
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 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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