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Urgent memos from Dr. Spock to the Production Manager about manufacturing square and hexagon tables with specific requirements and deadlines. Details on table legs and profits discussed.
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Memo: • To: Production Manager • From: 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.
Memo: • To: Production Manager • From: Dr. Spock Found out….we need at least 3 square tables.
Memo: • To: Production Manager • From: Dr. Spock At least 2 hexagon tables are needed. Don’t let me down.
Memo: • To: Production Manager • From: Dr. Spock Hexagon tables must have exactly 3 legs
Memo: • To: Production Manager • From: Dr. Spock Square tables must have exactly 5 legs
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?
X = # of square Y = # of hexagon 5x+3y = 30 Square tables need 5 legs, hexagon tables need 3 legs, and we only have 30 legs. y=2 x=3 At least 3 square tables At least 2 hexagon tables
X = # of square Y = # of hexagon Feasible Area
X = # of square Y = # of hexagon Optimal Solutions occur at vertices.
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