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You manufacture toys, and you currently make $25 per barbie and $18 per teddy bear. Total assembly time for barbie is 3.5 hours and for

  1. You manufacture toys, and you currently make $25 per barbie and $18 per teddy bear. Total assembly time for barbie is 3.5 hours and for a teddy bear is 2.5 hours; you have 15,000 assembly hours to work with.
  2. Write the profit function and contraints mathematically, as a linear programming problem.
  3. Maximize the profit function, subject to your contraints in part a)

2.a) Maximize the function P= 9X+7.7Y (X and Y must be postive)

Subject to 2X +3Y < 600

X + Y < 800

2X+ Y< 400

3.a) Minimize the function : C= 8A +3B

Subject to the contraints 2A +3B>6

A+B>1

6A+3B>9

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