algebra word problem

posted by .

A small company produces both dollhouses and sets of doll furniture. The dollhouses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 dollhouses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of dollhouses and y is the number of furniture sets. Then graph the system of inequalities

I am little confused but this what i am thinking this problem means
3x+8y=400
20x+10y=100
am i doing this right please let me know


First of all you need inequations, not equations

your first one is 3x+8y ≤ 400

The production limit of 100 items would translate to
x+y ≤ 100

at least 20 dollhouses ---> x ≥ 20
at least 10 furniture ----> y ≥ 10

3.09(j+4.6)=

How do you graph this?

how about math work word problems

  • great high school -

    i don't know....... that why i asking

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    I know that on this forum you can't graph but can someone help me with where to plot my lines... Here is the question and my solution...(need to shade solution)will draw two lines(solid) and shade below but need to verify line equation …
  2. Algebra, word problem

    A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant’s capacity is limited to a total of 18 …
  3. math

    A small firm produces AM and AM/FM car radios. The AM radios take 15 hours to produce, and the AM/FM radios take 20 hours. The number of production hours is limited to 300 hours per week. The plant’s capacity is limited to a total …
  4. inequalities

    A home-based company produces both hand-knitted scarves and sweaters. please help please The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total …
  5. algebra 2

    A manufacturer produces a standard model and a deluxe model of a 13-in. television set. The standard requires 20 h of labor to produce, whereas the deluxe model requires 25 h. The labor available is limited to 300 h per week. In addition, …
  6. Accounting

    Cambridge Manufacturing Company, Inc. has 200 labor-hours available. There is no limit on machine hours. Cambridge can sell all of Product B that it wants, but it can only sell 30 units and 20 units of Products A and C, respectively. …
  7. finite math

    2. The Witherspoon Down Company specializes in making down jackets, ski vests, and comforters. The requirements for down and labor and the profits earned are given in the following chart: Down (pounds) Time (labor-hours) Profit ($) …
  8. algebra

    A company produces doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity …
  9. Calculus (Partial Derivatives)

    Using x hours of skilled labor and y hours of unskilled labor, a manufacturer can produce Q(x,y)=40xy1/5 units each week. Currently 20 hours of skilled labor and 243 hours of unskilled labor are being used. Suppose the manufacturer …
  10. math

    Amalgamated Furniture Company makes dining room tables and chairs. A table requires 8 labor-hours for assembling and 2 labor-hours for finishing. A chair requires 2 labor-hours for assembly and 1 labor-hour for finishing. The maximum …

More Similar Questions