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To keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style.

This 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,

p < -15x2 + 6003 + 60

P5,000

Complete the statements about the system's possible solutions.

When the price of the shirt is $15, the company

When the price of the shirt is $25, the company

its profit goals.

its profit goals.

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Sagot :

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Answer:

At x = 15 ; price meets profit goal

At x = 25 ; price does not meet profit goal

Step-by-step explanation:

Constraint:

p < -15x2 + 600x + 60

P ≥ 5,000

x = shirt price ;

If x = 15

p ≤ -15(15²) + 600(15) + 60

p ≤ -3375 + 9000 + 60

p ≤ 5685

p ≥ 5000

5685 ≥ 5000 ( condition is met)

2.)

With a shirt price of $25

x = 25

p ≤ -25(25²) + 600(25) + 60

p ≤ -15625 + 15000 + 60

p ≤ - 565

p ≥ 5000

-565 < 5000 ( condition is not met)

anthougo

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

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

What is the profit goal?

The profit goal is met when the price of a good or service exceeds the costs of its production and sales.

At p < -15(15)^2 + 600 (15) + 60 and p <= -15(25)^2 + 600(25) + 60, the profit goal of $5,000 is met.

Thus, we can conclude that:

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

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

Learn more about the importance of financial planning in meeting the profits goal at https://brainly.com/question/12890843

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