Embroidery Monogram
I need help with this math problem please?
Benefit. One basis of the Company embroidered monogram napkins Web ago. Benefits associated with the production of napkins orders is governed by the equation P (x) = x ^ 2 – 90x + 1400 Select the range of orders the company must agree to make a profit. a. 20 <x <70 b. 20 <X </ = 70 c. 20 </ = x <= / 70 d. x </ x = 20 or> / = 70 e. x <20 or x> 70 Note: </ = or> / = is bigger "than less than or equal a.
The company makes a profit when P (x)> 0. You can verify by factoring that P (x) = 0 at x = 20 x = 70. If the graph of P (x) you'll see that it is a parable that goes up at the ends. Therefore, it is below 0 between 20 and 70 and above 0 outside. (Alternatively, (x-20) (x-70) is positive when the two terms have the same sign: when x> 70 or x <20). So the answer is D or E of that: the only question remaining is whether or not the equality. If benefits equal to 0, the company is not making a profit. So The correct answer is (e).
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