Consider the bee faced by the problem in Subsection 3.3.2. Find the optimal strategy with the following travel times τ and illustrate the graphical method of solution. For each particular value of τ, find the equation of the tangent line at the optimal t and show that it goes through the point (-τ, 0).
1. τ = 2.0.
2. τ = 0.5.
3. τ = 0.1.
4. Find the solution in general (without substituting a value for τ). What is the limit as τ approaches 0? Does this answer make sense?