Answer:
s = 10
Step-by-step explanation:
Given s is inversely proportional to t , then the equation relating them is
s = ← k is the constant of proportion
To find k use the condition when s = 0.6, t = 5
0.6 = ( multiply both sides by 5 )
3 = k
s = ← equation of proportion
When t = 0.3, then
s = = 10
Answer:
The maximum revenue is $320,000
Step-by-step explanation:
To find the maximum of a function f, the procedure is as follows:
The revenue function for a bicycle shop is
R(x)=xp(x), where p(x)=800-0.5x. Substituting:
Find the first derivative of R:
R'(x)=800-x
Equate to 0:
800-x=0
Solve:
x=800
There is only one critical point. Substitute it into the revenue function:
The maximum revenue is $320,000