I have a maximization problem for f(x,y) s.t. p_{1}x+p_{2}y=g
I cannot remember how to set up the Lagrange for this.
Is it:
1.) f(x,y) +n(p_{1}x+p_{2}-g)
or
2.) f(x,y)+n(p_{1}x+p_{2}-g)+mx+my
If it is the latter, can someone explain to my why it is the latter? (I'm thinking product rule but I'm quite confused.)