In a factory, machine 1 produces 8 inch pliers at the rate of 72 units per hour and 6 inch pliers at the rate of 63 units per hour. Machine 2 produces 8 -inch pliers at the rate of 48 units per hour and 6 .inch pliers at the rate of 18 units per hour. It costs $61 per hour to operate machine 1, and machine 2 costs $39 per hour to operate. The production schedule requires that at least 288 units of 8 inch pliers and at least 126 units of 6 -inch pliers be produced during each 8 -hour day. Which combination of machines will cost the least money to operate? Using machine 1 for hour and machine 2 for hours will minimize costs at $

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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Chapter 4, Section 4.3, Question 014
In a factory, machine 1 produces 8 -inch pliers at the rate of 72 units per hour and 6 inch pliers at the rate of 63
units per hour. Machine 2 produces 8 -inch pliers at the rate of 48 units per hour and b inch pliers at the rate of 18
units per hour. It costs $61 per hour to operate machine 1, and machine 2 costs $39 per hour to operate. The
production schedule requires that at least 288 units of 8 -inch pliers and at least 126 units of 6 -inch pliers be
produced during each 8 -hour day. Which combination of machines will cost the least money to operate?
Using machine 1 for
hour and machine 2 for
hours will minimize costs at $
SHOW HINT
Transcribed Image Text:Chapter 4, Section 4.3, Question 014 In a factory, machine 1 produces 8 -inch pliers at the rate of 72 units per hour and 6 inch pliers at the rate of 63 units per hour. Machine 2 produces 8 -inch pliers at the rate of 48 units per hour and b inch pliers at the rate of 18 units per hour. It costs $61 per hour to operate machine 1, and machine 2 costs $39 per hour to operate. The production schedule requires that at least 288 units of 8 -inch pliers and at least 126 units of 6 -inch pliers be produced during each 8 -hour day. Which combination of machines will cost the least money to operate? Using machine 1 for hour and machine 2 for hours will minimize costs at $ SHOW HINT
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