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A club president can spend no more than $180 on hats for the members. Visors cost $9 and caps cost $12. He will order at least a half-dozen caps and at least as many visors as caps. Let x represent the number of visors and y represent the number of caps. Select all constraints for this situation. Question 8 options: 9x+12y?180 y?x y?x x>6 y?6 y>6 x+y?180 x?6 x>0

Respuesta :

calculista

Answer:

The constraints are

[tex]9x+12y\leq 180[/tex]

[tex]y\geq 6[/tex]

[tex]y\geq x[/tex]

[tex]x \geq 0[/tex]

Step-by-step explanation:

Let

x------>  the number of visors

y------>  the number of caps

we know that

[tex]9x+12y\leq 180[/tex] ----> inequality A  

[tex]y\geq 6[/tex] -----> inequality B

[tex]y\geq x[/tex] ----> inequality C  

[tex]x \geq 0[/tex] -----> inequality D  (the number of caps can not be negative)

using a graphing tool

The solution is the shaded area

see the attached figure

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