example 8
Manufacturing
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
Chapter 7.4
2009 PBLPathways
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
2009 PBLPathways
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
z: number of graphing calculators
x y
z  14,000
2009 PBLPathways
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
z: number of graphing calculators
x y
z  14,000
2009 PBLPathways
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
z: number of graphing calculators
x y
z  14,000
2009 PBLPathways
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
z: number of graphing calculators
x y
z  14,000
2009 PBLPathways
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
z: number of graphing calculators
x y
z  14,000
2009 PBLPathways
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
z: number of graphing calculators
x y
z  14,000
2009 PBLPathways
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
z: number of graphing calculators
x y
z  14,000
2009 PBLPathways
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
z: number of graphing calculators
x y
z  14,000
2009 PBLPathways
Sharper Technology Company manufactures three types of calculators, a business
calculator, a scientific calculator, and a graphing calculator. The production requirements
are given in the table. If during each month the company has 134,000 circuit components,
56,000 hours for assembly, and 14,000 cases, how many of each type of calculator can it
produce each month?
Business
Calculator
Scientific
Calculator
Graphing
Calculator
Circuit Components
5
7
12
Assembly Time (hours)
2
3
5
Cases
1
1
1
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
z: number of graphing calculators
x y
z  14,000
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
A1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
A1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
A1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
A1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
A1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
A1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 12 xz  134,000 
 5 x 77 y12
 2 3 5   y    56,000 
 2 x  3 y 5z  

1 x1 y 1 z z   14,000 
A1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
A1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
A1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
AI1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
AI1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
AI1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways
x: number of business calculators
5 x  7 y  12 z  134,000
y: number of scientific calculators
2 x  3 y  5 z  56,000
x y
z: number of graphing calculators
z  14,000
 5 7 12   x  134,000 
 2 3 5   y    56,000 

  

1 1 1   z   14,000 
AI1 A
X 
A1C
X 
A1C
 2 5 1  134,000 
  3 7 1   56,000 



 1 2 1  14,000 
 2000 
  4000 


8000 
2009 PBLPathways