Doug Turner Food Processors wishes to introduce a new brand of dog biscuits composed of chicken and liver flavored biscuits that meet certain nutritional requirements. The liver flavored biscuits contain 1 unit of nutrient A and 2 units of nutrient​ B; the chicken flavored biscuits contain 1 unit of nutrient A and 4 units of nutrient B. According to federal​ requirements, there must be at least 40 units of nutrient A and 60 units of nutrient B in a package of the new mix. In​ addition, the company has decided that there can be no more than 14 liver flavored biscuits in a package. It costs 1​¢ to make 1 liver flavored biscuit and 2​¢ to make 1 chicken flavored. Doug wants to determine the optimal product mix for a package of the biscuits to minimize the​ firm's cost.?

Respuesta :

Answer:

Given

Variables:

X= liver flavored biscuits

Y= number of chicken flavored

Objective function:  Minimum Z

Min Z = 1X + 2Y

Subject to

1X+1Y >= 40

2X+4Y >= 60

1X + 0Y <=16 (or) 1X <=16

X,Y>=0

Optimal solution X = 16 , Y = 24  and Z = 64

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A food processor is a kitchen appliance that is used to help preparing food items. It refers to the electronic motor driven app. here are also used in manual modes.

minimize

  • 1X+2Y
  • 1X+1Y>= 40
  • 2X+4Y>= 60
  • 1X+0Y<=10
  • X=10
  • Y=30
  • OV= 70
  • As the biscuits are made of chicken flavor and meet certain needs fo the company nutrition values for dogs.

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