Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

iannic2

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

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. shaan_iitk
    Best Response
    You've already chosen the best response.
    Medals 1

    okk ... 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

    • 2 years ago
    • Attachments:

See more questions >>>

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.