Question

Is the interval (-3, 5) a reasonable solution to when the demand is positive?

a) No. The interval (-3, 5) is not a reasonable solution because the left endpoint is negative and there cannot be a negative number of stores.
b) Yes. The interval (-3, 5) is a reasonable solution because the function is positive in that region.
c) No. The interval (-3, 5) is not a reasonable solution because the function is negative in that region.
d) Yes. The interval (-3, 5) is a reasonable solution because the endpoints of the interval are roots of the function.

Answer 1

The interval (-3, 5) is not a reasonable solution for when the demand is positive because the negative left endpoint (-3) likely does not represent a realistic quantity, like a negative number of stores.

Step-by-step explanation:

Is the interval (-3, 5) a reasonable solution to when the demand is positive? The correct answer is No. The interval (-3, 5) is not a reasonable solution because the left endpoint is negative, and within the context of this problem, negative numbers may not represent a realistic quantity, such as a negative number of stores, goods, or services. Therefore, while part of the interval (specifically 0 to 5) may reflect a positive demand, the inclusion of negative values, which likely do not make sense in this context, makes the entire interval (-3, 5) unreasonable for representing a situation where demand is positive.