An experiment involving learning in animals requires placing white mice and rabbits
into separate, controlled environments, the environment I and environment II.
The maximum amount of time available in the environment I is 500 minutes, and the maximum
amount of time available in environment II is 600 minutes.
The white mice must spend 10 minutes in environment I and 25 minutes in environment II, and
the rabbits must spend 15 minutes in environment I and 15 minutes in environment II. Identify which set of constraints and objective function is correct? x=white mice and y=rabbits

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Answer:

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Following are the calculation to the given question:

  • Suppose x represents a number of white mice while y denotes the number of bunnies.
  • 10 minutes is the time needed by mice in habitat 1.
  • 15 minutes is indeed the time required by the rabbit in habitat 1.
  • Overall time needed [tex]= 10x + 15y[/tex]
  • In environment 1, the maximum allowed time is 500 minutes.

[tex]\bold{10 x +15y \leq 500}[/tex]

Likewise,

  • Mice need 25 minutes in environment 2 to complete their tasks.
  • 15 minutes is indeed the time taken by a rabbit in environment 2.
  • Overall time needed [tex]= 25x + 15y[/tex]
  • In environment 2, the maximum amount of time accessible is 600 minutes.

Hence, the answer is  " [tex]\bold{25x +15y \leq 600}[/tex]".

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