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An art store offers prints in two sizes. The store earns $15 on each small print sold and $25 on each large print sold. The owner needs to make a daily profit of at least $700 in order to cover costs. Due to equipment limitations, the number of small prints made must be more than three times the number of large prints. Given that x represents the number of small prints sold and y represents the number of large prints sold, determine which inequalities represent the constraints for this situation. x + y ≤ 60 15x + 25y < 700 x > 3y 15x + 25y ≥ 700 y > 3x x + 3y ≥ 60 Which combinations of small prints and large prints satisfy this system? (45,10) (35,15) (30,10) (40,5)

Respuesta :

tinigiabaoowmw3a
The answer definitely 15x + 25y >= 700 for the inequality . So the number of small prints is more than 3 times the large prints . We can also have here the number of small prints : x = 3y . So the equation we have is 15(3y) + 25y >= 700 . We take the least amount to solve :
15(3y) + 25y = 700
=> 45y + 25y = 700
=> 70y = 700
=> y = 10 .
So the amount of large prints is 10
The amount of small prints is 10x3 = 30
So it would be ( 30,10 )

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