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.\n$pleq - 15x^{2}+600x + 60$\n$pgeq5,000$\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.\n$pleq - 15x^{2}+600x + 60$\n$pgeq5,000$\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: Substitute $x = 15$ into profit - function

Substitute $x = 15$ into $p=-15x^{2}+600x + 60$. $p=-15\times15^{2}+600\times15 + 60$ $=-15\times225+9000 + 60$ $=-3375+9000 + 60$ $=5685$ Since $5685\geq5000$, when $x = 15$, the company meets its profit goals.

Step2: Substitute $x = 25$ into profit - function

Substitute $x = 25$ into $p=-15x^{2}+600x + 60$. $p=-15\times25^{2}+600\times25 + 60$ $=-15\times625+15000 + 60$ $=-9375+15000 + 60$ $=5685$ Since $5685\geq5000$, when $x = 25$, the company meets its profit goals.

Answer:

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