1. The problem statement, all variables and given/known data Given that a1+a2+a3+... +a7=1 and that all aj is smaller than 1 and greater than 0 and variable , find the maximum value of 6a1+5a2+4a3+...+ a6 2. Relevant equations no further constraints 3. The attempt at a solution I have no idea how to solve this problem specifically, but I do recall a technique called lagrange multipliers that may come in handy. If anyone could direct me to a computer program that would do the calculations for me or help me solve this problem non-numerically I would be very grateful. Thank you!