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diamong [38]
3 years ago
8

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

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
4 0

Answer:

Just plugging this into a calculator and replacing the x values with 15 and 25 respectively, both of them exceed 5,000. Meets is the answer for both of them.

3241004551 [841]3 years ago
3 0

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)

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