A company produces two types of drills, a corded and cordless. The cord-type drill requires 1 hours to make, and the cordless model requires 2 hours. The company has 120 work hours per day for manufacturing and daily storage of 90 drills per day. Let z = the number of cordless drills produced per day and y = the number of corded drills produced per day. Write the system of inequalities < 120 < 90 Graph the system of inequalities.
A company produces two types of drills, a corded and cordless. The cord-type drill requires 1 hours to make, and the cordless model requires 2 hours. The company has 120 work hours per day for manufacturing and daily storage of 90 drills per day. Let z = the number of cordless drills produced per day and y = the number of corded drills produced per day. Write the system of inequalities < 120 < 90 Graph the system of inequalities.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
This problem is Linear Programming. There must be 4 inequalities such as the picture in yellow (shown as an example).
Transcribed Image Text:A company produces two types of drills, a corded and cordless. The cord-type drill requires 1 hours to
make, and the cordless model requires 2 hours. The company has 120 work hours per day for manufacturing
and daily storage of 90 drills per day.
Let x = the number of cordless drills produced per day and y = the number of corded drills produced per
day.
Write the system of inequalities
< 120
< 90
Graph the system of inequalities.
250+
240
230
220
210
200
190
180
170
160
150
140
130
120
110
100
90
80
70
60
50
40
30
20
10
10
20
30
40
50
60
70
80
90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250
Transcribed Image Text:R = 5x + 10y
Constraints
y = 20
-2아
x25
feasile
x< 15
y > x
y< 20
15
X = 5
10
X= 15
10
15
Fundamental Theorem of Linear Programming
If the max/min exists for the linear programming
problem, it occurs at a vertex of the feasible region.
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