1. An infinite geometric series has first term a and limiting sum 2. Find all possible values for a.
2. Use the Lagrange multiplier method to maximize output
Q =4KL+ L2
subject to the constraint TC= K +2L = 175.
a) Estimate the maximum output if TC is fixed at 174.5.
b) Estimate at what value TC should be fixed if the maximum output is to be 17,600.
For the estimates in part (a) and (b) use the interpretation of λ, the proportionality constant introduced in the method of Lagrange Multipliers
