example 8 Manufacturing

Chapter 7.4

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

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

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

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

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

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

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

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

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

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

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

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

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

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

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

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

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

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

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

5 7 12

2 3 5

x y z

x y z

x y z

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

I

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

I

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

I

2009 PBLPathways

x: number of business calculators

y: number of scientific calculators

z: number of graphing calculators

5 7 12 134,000

2 3 5 56,000

14,000

x y z

x y z

x y z

5 7 12 134,000

2 3 5 56,000

1 1 1 14,000

x

y

z

1 1

1

2 5 1 134,000

3 7 1 56,000

1 2 1 14,000

2000

4000

8000

A A X

A

C

X

A

C

I