Algebra

a factory can produce two products, x and y with a profit approximated by P=14x+22y-900. the production of y can exceed x by no more than 100 units moreover production levels are limited by the formula x+2y,+1,400. what production levels yield maximum profit?

  1. 👍 0
  2. 👎 0
  3. 👁 251
asked by HELP!!!
  1. What does this constraint mean?

    limited by the formula x+2y,+1,400.

    I have to leave, hope Steve sees this.

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. Constraints:
    A. x≥0
    B. y≥0
    C. y-x≤100
    D. x+2y≤1400 (please check this constraint)

    Draw the graph of the constraint equation to have a visual understanding.

    Solve for all possible corners of the feasible polygon. Note that all inequalities are inclusive, i.e. all lines are part of the feasible region.
    A/B: (0,0)
    A/C: (0,100)
    A/D: - (y-x>100)
    B/C: - (x<0)
    B/D: (1400,0)
    C/D: (650,750)

    Since the feasible polygon is necessarily convex, we only have to check profit at the intersections.

    P(x,y)=14x+22y-900
    P(0,100)=1300
    P(1400,0)=18700
    P(650,750)=24700

    So the maximimum profit can be attained by X=650, Y=750.

    1. 👍 0
    2. 👎 0
    posted by MathMate

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    a factory can produce two products, x and y with a profit approximated by P=14x+22y-900. the production of y can exceed x by no more than 100 units moreover production levels are limited by the formula x+2y,+1,400. what production

    asked by anonymous on January 4, 2013
  2. Math

    PLEASE HELP!! SHOW WORK A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y – 900. The production of y must exceed the production of x by at least 100 units. Moreover, production levels are

    asked by Latanya on January 10, 2019
  3. math

    A factory can produce two products, x and y, with a profit approximated by P = I think it's b but I'm not really sure. Can someone show me how to do this or let me check my answer? :) 14x + 22y – 900. The production of y can

    asked by Alex on September 17, 2012
  4. Algebra (Please check)

    PLEASE CHECK MY ANSWERS (: I just want to make sure I am doing this correctly __________________________________ Graph the system of constraints and find the value of x and y that maximize the objective function. Constraints: x

    asked by Greg on September 17, 2012
  5. Algebra (Need help desperately)

    I really don't understand these.. can someone show me the correct way of doing them? (if it helps I will pay over paypal for detailed help or will pay in my services (I am a graphic designer, video editor, and web designer)

    asked by Alex Lark on September 17, 2012
  6. maths

    A factory produces two products A and B using raw materials p and q. It uses 3 units of p and 1 unit of q to produce one unit of A. It uses 1 unit of p and 2 units of q to produce one unit of B. The maximum daily supplies are 330

    asked by maths on July 9, 2013
  7. Math 221

    A distribution center receives shipment of a product from three different factories in the quantities of 60, 30 and 20. Three times a product is selected at random, each time without replacement. Find the probability that (a) all

    asked by Carolyn on September 15, 2014
  8. Math 221 Week3

    A distribution center receives shipment of a product from three different factories in the quantities of 60, 35 and 25. Three times a product is selected at random, each time without replacement. Find the probability that (a) all

    asked by Carolyn on September 15, 2014
  9. Trig

    Dalco manufacturing estimate that its weakly profit, P, in hundreds of dollars,can be approximated by the formula P= -4x²+8x+7, where x is the number of units produced per week, in thousands. 1)How many units should the company

    asked by Alex on April 21, 2012
  10. College Math

    A clarinet factory wants to maximize profits. They can produce 250 clarinets per week at a cost of $300 per clarinet, and sell them for $1000 per clarinet. And, they can produce 350 clarinets per week at a cost of $275 per

    asked by Richard D on October 19, 2012

More Similar Questions