Question

Calculus Question!!! Help!

Answer 1

A company makes two product,widgets and gadgets,which use the same materials in their production.Given a fixed amount of materials and labour,the company must decide how many widgets and gadgets to produce.If w widgets and g gadgets are produced,w and g must satisfy 9w^2+4g^2=18000.The graph of this equation for w≧0 and g≧0 is called the production possibilities curve,and a point(w,g) on this curve is a production schedule for the company.If a widget gives a profit of$3 and a gadget a profit of $4,find the production schedule that maximizes profit,using Lagrange multipliers.

Answer 2

Probably take the derivative of the function.

Answer 3

can you show your work?

Answer 4

Please?

Answer 5

the graph of the function is
http://www.wolframalpha.com/input/?i=plot+9w^2%2B4g^2%3D18000
you need to care of w≧0 and g≧0

Answer 6

ok, thanks. I got it.