Hey everyone. I was pondering how best to optimize a chip arrangement for a poker game. This is the scenario I've thought up: There are 4 denominations of colored chips with a set value. White (W) = 0.05 Red (R) = 0.25 Blue (B) = 1.00 Green (G) = 5.00 A player wants to purchase 40 dollars worth of chips. If he must receive exactly 60 chips total, what is the optimal amount of each chip denomination to give the player? These two conditions, (the $40 buy in and the 60 chip amount) will yield two equations: xW + yR + zB + wG = 40 x + y + z + w = 60 There are 2 equations and 4 unknowns. Where might I find two more equations so that I can solve the equations, or is there some method using calculus that would yield a result?