select the correct answer from each drop - down menu.\nto keep producing a specific shirt style, a clothing…

select the correct answer from each drop - down menu.\nto keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style.\nthis system of inequalities models the potential profit from the sales of the shirt style and the profit constraints, where p represents the profit and x is the shirt price.\np ≤ - 15x² + 600x + 60\np ≥ 5,000\ncomplete the statements about the systems possible solutions.\nwhen the price of the shirt is $15, the company \nwhen the price of the shirt is $25, the company

select the correct answer from each drop - down menu.\nto keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style.\nthis system of inequalities models the potential profit from the sales of the shirt style and the profit constraints, where p represents the profit and x is the shirt price.\np ≤ - 15x² + 600x + 60\np ≥ 5,000\ncomplete the statements about the systems possible solutions.\nwhen the price of the shirt is $15, the company \nwhen the price of the shirt is $25, the company

Answer

Explanation:

Step1: Calcular el valor de $p$ para $x = 15$

Sustituir $x = 15$ en $p=-15x^{2}+600x + 60$. $p=-15\times15^{2}+600\times15 + 60=-15\times225+9000 + 60=-3375+9000 + 60=5685$. Como $5685\geq5000$, el primer enunciado es "alcanza".

Step2: Calcular el valor de $p$ para $x = 25$

Sustituir $x = 25$ en $p=-15x^{2}+600x + 60$. $p=-15\times25^{2}+600\times25 + 60=-15\times625+15000 + 60=-9375+15000 + 60=5685$. Como $5685\geq5000$, el segundo enunciado es "alcanza".

Answer:

When the price of the shirt is $15, the company alcanza its profit goals. When the price of the shirt is $25, the company alcanza its profit goals.