Linear Programming to Maximize Profit

Brian runs a factory that makes Blu-ray players. Each S100 takes 6 ounces of plastic and 4 ounces of metal. Each D200 requires 3 ounces of plastic and 8 ounces of metal. The factory has 300 ounces of plastic, 608 ounces of metal available, with a maximum of 22 S100 that can be built each week. If each S100 generates $10 in profit, and each D200 generates $2, how many of each of the Blu-ray players should Brian have the factory make each week to make the most profit?



Best profit:

  1. 👍
  2. 👎
  3. 👁
  1. Oh my heavens I have done so many linear programming problems tonight!
    s uses 6 plastic
    d uses 3 plastic
    6 s + 3 d </= 300

    s uses 4 metal
    d uses 8 metal
    4 s + 8 d </= 608

    s </=22

    maximize 10 s + 2 d

    I get 332 at (22,56)

    use x for s and y for d

    1. 👍
    2. 👎
  2. Thank You So Much!!!!!!

    1. 👍
    2. 👎
  3. You are welcome.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math Help!!!

    Drinking 6 fluid ounces of milk provides 202.5 milligrams of calcium. How many fluid ounces of milk are required to provide 52.5 milligrams of calcium? Round to the nearest tenth. 2.1 fluid ounces 2.3 fluid ounces 1.8 fluid ounces

  2. Math

    1. What is the name of the ray that is opposite of ray BA? Description of the ray. It's a straight line with the points A B C D all in a row. A) Ray BD B) Ray BA C) Ray CA D) Ray DA This doesn't make sense. I thought that CD would

  3. statistics

    7. a factory has a machine that makes steel rods. The length of the rods that the machine makes follows a normal distribution curve with a mean of 11.5 feet and a standard deviation of 0.3 feet. The factory manager does not want

  4. Physics

    A ray of light of vacuum wavelength 550 nm traveling in air enters a slab of transparent material. The incoming ray makes an angle of 34.3◦ with the normal, and the refracted ray makes an angle of 18.9◦ with the normal. Find

  1. math

    8 basketball players are selected to play in a special game.the players will be selected from a list of 27 players .if the players are selected randomly ,whats the probability that the 8 tallest players will be selected.

  2. math

    Of 320 consumers polled, some purchase Blu-ray movies, some only purchase movies on DVD, and some do both. If 300 people polled purchase Blu-ray discs and 280 purchase DVDs and Blu-ray discs, how many people only buy DVDs?

  3. mathematics 2 HELP

    Six friends share a 15-ounce bag of nuts equally. Between what two whole numbers of ounces will each person get? A 3 and 4 ounces B 2 and 3 ounces C 1 and 2 ounces D 0 and 1 ounce T_T

  4. geometry

    Draw the unit circle and a first-quadrant ray from the origin that makes an angle theta with the positive x-axis. Let B be the point on this ray whose x-coordinate is 1, and let A = (1, 0). Segment AB is tangent to the circle. In

  1. math

    Hi I am trying to help my 4th grade daughter with homework and I am stuck with this question. Please help and explain how you got the answer. Thanks Jill's fish weighs 8 times as much as her parakeet. Together, the pets weigh 63

  2. Math

    A factory produces 12000 plastic bottles by using 3 machines 8 hours a day. One machine is out of order now. The owner wants to produce 15000 plastic bottles, How many hours the remaining machines have to work to produce the

  3. History

    Imagine you are one of the factory workers at Lowell Mills tasked with creating the headline story for this month’s factory newspaper. Factory Workers—Factory Worker Template 1. First paragraph: Hook your reader into wanting

  4. mathematics

    Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces? A 187 ounces B 200 ounces C 192.5 ounces D 100 ounces Mathematics Page

You can view more similar questions or ask a new question.