A community for students.
Here's the question you clicked on:
 0 viewing
 3 years ago
A company makes two products, widgets and gadgets, which use the same materials in their production. Given a fixed amount of materials and labor, 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 g>=0 is called production possibilities curve, and a point (w,g) on this curve is a production scheduel for the company. If a widget gives a profit of 3 dollars and a gadget gives a profit of 4 dollars, find the production schedule that maximizes profit, using lagrange m
 3 years ago
A company makes two products, widgets and gadgets, which use the same materials in their production. Given a fixed amount of materials and labor, 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 g>=0 is called production possibilities curve, and a point (w,g) on this curve is a production scheduel for the company. If a widget gives a profit of 3 dollars and a gadget gives a profit of 4 dollars, find the production schedule that maximizes profit, using lagrange m

This Question is Closed

shaan_iitk
 3 years ago
Best ResponseYou've already chosen the best response.1okk ... see my profit is 3w + 4g ... and my condition is (3w)^2 + (2g)^2  18000 apply langrange we get w and g in terms of the constant \[\lambda\] = x w = 3/(18x) and g = 4/(8x) .. place these two values in the consition to get x = 1/(120) hence w = 20 and g = 60 and hence my profit is = 60 + 240 = 300
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.