Question
Refer to Exercise $141 .$ Find an expression that gives the amount by which the revenue of the second gas station will exceed the revenue of the first gas station in month $t(0 \leq t \leq 12)$.
Step 1
From the previous problem, we know that the revenue of the first gas station is given by $0.2t^2 + 150t$ and the revenue of the second gas station is given by $0.5t^2 + 200t$. Show more…
Show all steps
Your feedback will help us improve your experience
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find an expression that gives the amount by which the revenue of the second gas station will exceed the revenue of the first gas station in month $t(0 \leq t \leq 12)$.
Preliminaries
Precalculus Review I
Jake owns two gas stations. The total revenue of the first gas station for the next 12 months is projected to be $$0.2 t^{2}+150 t \quad(0 \leq t \leq 12)$$ thousand dollars $t$ months from now. The total revenue of the second gas station for the next 12 months is projected to be $$0.5 t^{2}+200 t \quad(0 \leq t \leq 12)$$ thousand dollars $t$ months from now. Find an expression that gives the total revenue realized by Jake's gas stations in month $t(0 \leq t \leq 12)$.
The revenue derived from the sale of a new kind of motorized skateboard t weeks after its introduction is given by R(t) = (63t - t^2) / (t^2 + 63), 0 <= t <= 63 million dollars. When does maximum revenue occur? What is the maximum revenue?
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD