Modelling the situation, the constraints are:
[tex]275x + 168y \leq 1250[/tex]
[tex]y > 0[/tex]
[tex]y > 3x[/tex]
[tex]x > 0[/tex]
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We have that:
- x is the number of swing sets.
- y is the number of slides.
The parks must have slides and swings:
From this, there are two constraints, which are: [tex]x > 0[/tex] and [tex]y > 0[/tex]
The number of new slides must be more than three times the number of new swing sets.
Thus [tex]y > 3x[/tex]
Each swing set costs $275 and each slide costs $168. They can spend no more than $1,250.
Thus:
[tex]275x + 168y \leq 1250[/tex]
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