What does the following MiniZinc model print? var 0..3: x;var 1..4: y;constraint y = x + 1;constraint 2*y + 3*x = 12;

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BlackTom AI · Accepted Answer

The question asks what the MiniZinc model prints for the given variables and constraints.
First, restate the constraints in a readable way: x ranges from 0 to 3, y ranges from 1 to 4, and we have y = x + 1 along with 2*y + 3*x = 12.
Next, substitute y from the equation y = x + 1 into the linear equation 2*y + 3*x = 12. This yields 2*(x + 1) + 3*x = 12.
Simplify step by step: 2x + 2 + 3x = 12, which combines to 5x + 2 = 12.
Subtract 2 from both sides to get 5x = 10.
Divide both sides by 5 to obtain x = 2.
With x = 2, compute y from y = x + 1: y = 2 + 1 = 3.
Now verify that these values are within the specified domains: x = 2 is within 0..3, and y = 3 is within 1..4, so the solution is feasible.
If one were to compare against potential multiple-choice options, the pair (x, y) = (2, 3) satisfies all constraints, so any option stating x = 2 and y = 3 would be consistent with the model.
Note that the prompt provided an answer entry suggesting a labeled option, but the actual list of answer choices is not present here, so the evaluation depends on the given set of options. Regardless, the derivation above shows why x = 2 and y = 3 satisfy the model.

FIT5216_S1_2025 Week 2 participation quiz

What does the following MiniZinc model print? var 0..3: x;var 1..4: y;constraint y = x + 1;constraint 2y + 3x = 12;

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