Table Design Department

You’ve got mail

Memo:

To: Production ManagerFrom: Dr. Spock

We need to make some tables and we need them yesterday!!! I don’t have all the information yet, but I’ll send it along as I get it. This is a big account $50 for each square table, and $40 for each hexagon table…don’t mess it up. Use anything in the warehouse.

You’ve got mail

Memo:

To: Production Manager

From: Dr. Spock

Found out….we need at least 3 square tables.

You’ve got mail

Memo:

To: Production Manager

From: Dr. Spock

At least 2 hexagon tables are needed. Don’t let me down.

You’ve got mail

Memo:

To: Production Manager

From: Dr. Spock

Hexagon tables must have exactly 3 legs

You’ve got mail

Memo:

To: Production Manager

From: Dr. Spock

Square tables must have exactly 5 legs

You’ve got mail

Memo:

To: Production Manager

From: Dr. Spock

Send me your product possibility sheet (with potential profits) immediately. I’m counting on you to make me rich!

Let’s look at the MATH…

Variables x = # of square tables y = # of hexagon tables

We need to make some tables and we need them yesterday!!! I don’t have all the information yet, but I’ll send it along as I get it. This is a big account $50 for each square table, and $40 for each hexagon table…don’t mess it up. Use anything in the warehouse.

What did this give us?

Let’s look at the MATH…

Variables x = # of square tables

y = # of hexagon tables

Found out….we need at least 3 square tables.

How could we write this?

Let’s look at the MATH…

Variables x = # of square tables

y = # of hexagon tables

At least 2 hexagon tables are needed. Don’t let me down.

How could we write this?

Let’s look at the MATH…

Variables x = # of square tables

y = # of hexagon tables

Hexagon tables must have exactly 3 legs

Square tables must have exactly 5 legs

How could we write this?

5x+3y = 30

y=2x=3 At least 2

hexagon tables

At least 3 square tables

Square tables need 5 legs,

hexagon tables need 3 legs, and we only have 30

legs.

X = # of square

Y = # of hexagon

X = # of square

Y = # of hexagon

Feasible Area

X = # of square

Y = # of hexagon

Optimal Solutions occur

at vertices.

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