A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
How do you determine the objective function in a linear programming (systems of equations)?
anonymous
 5 years ago
How do you determine the objective function in a linear programming (systems of equations)?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry i cant explain it..do you have an example?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes....the ones problems in the past have always had that given. A shoe manufacturer makes outdoor and indoor soccer shoes. Ther is a twostep manufacturing process for both kinds of shoes. Each pair of outdoor shoes requires 2 hours of processing in step one and 1 hour in step two. Indoor shoes require 1 hour of processing in step one and 3 hours in step two. The company has only 40 hurs of labor available for step one and 60 hours available for step two. a.) identify the variables b.) write the objective function c.) write the constraints d.) graph the feasible region e.) identify the maximum profit and how many of each type of shoe should be produced to reach this profit

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I have the equations 2x + y = 40 and x + 3y = 60 to graph....correct?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes except use inequalities 2x+y<=40 so x represents num of outdoor shoes y represents num of indoor shoes

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so those would be your constraints

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok what about x>=0 and y>= 0 also?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0to find objective function here look at what they want to know, what do they want to maximize? profit so we have define profit in terms of our variables

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, so how do you come up with the equation for that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well profit = sales revenue  cost of labor revenue = price * quantity is there additional info

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0nope, I typed the entire problem. Isn't that part missing??

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok since we are not given any prices we can assume labor costs nothing and all shoes sell at equal value so we want to make as many shoes as possible within constraints profit = x + y, which is just the total num of shoes made

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh, that's easy then! Just plug in your contraints and solve to see which produces the largest value (profit)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yep once you graph your constraints pick end points along outside of bounded region plug them into profit function good luck

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0got that!! Thanks!!!!!
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.