Find the maximum value of the objective function and where it occurs, subject to the indicated constraints.

objective function:z=2x+5y

constraints:
x≥0
y≥0
x+2y≤14
5x+2y≤30

Question

Find the maximum value of the objective function and where it occurs, subject to the indicated constraints.

objective function:z=2x+5y

constraints:
x≥0
y≥0
x+2y≤14
5x+2y≤30

zzr0ck3r · Answer

are you doing LaGrange multipliers in class?

anonymous · Answer

im homeschooled and usually teach myself...

anonymous · Answer

if i recall you find the corners and test them

primeralph · Answer

No need for LaGrange.

zzr0ck3r · Answer

you need to use L.M for this. But I have to eat. Its really easy, I would google lagrange multipliers with inequality restraints.

zzr0ck3r · Answer

ahh ok good:)

zzr0ck3r · Answer

you still use slack variables?

zzr0ck3r · Answer

well you can use them, and its simply solving the system after that. plus a little logic for the inequalities.

anonymous · Answer

why not solve the system 
$$x+2y=14\5x+2y=30$$ which is rather easy

zzr0ck3r · Answer

I don't see how that helps, but please show. Ill come read later:)

anonymous · Answer

the "objective function' will have a max and min at the corners of the region described