For $R(q)=q(30-q)$ on $0\le~q\le~30~\text{items}$, solve both factor equations and check the resulting quantities against the domain. Interpret why the model gives zero revenue at each endpoint.

Answer choices

Choose your path.

Preview only

The zeros are q = 0 and q = −30. Only q = 0 is in the domain, so it is the only boundary zero.

The zeros are q = 0 and q = 30, and they show that revenue is greatest at both endpoints.

The zeros are q = 0 and q = 30, and they mean that zero items are sold at both quantities.

The zeros are q = 0 and q = 30, and both are in the domain. Revenue is $0 at 0 items sold and at the demand boundary q = 30, where 30 − q = 0.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

Curriculum context