Consider the bee faced by the problem in Subsection 3 3 2 Find the optimal strategy with the following travel times and illustrate the graphical method of solution For each particular value of , find the equation of the tangent line at the optimal t and show that it goes through the point ( , 0) 1 2 0 2 0 5 3 0 1 4 Find the solution in general (without substituting a value for ) What is the limit as approaches 0 Does this answer make sense

Question: Consider the bee faced by the problem in Subsection 3.3.2. Find the optimal strategy with the following travel times and illustrate the graphical method

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?

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