Linear Programming - Math

A small software company publishes computer games and educational and utility software. Their business strategy is to market a total of 36 new programs each year, at least four of these being games. The number of utility programs published is never more than twice the number of educational programs. On average, the company makes an annual profit of \$5000 on each computer game, \$8000 on each educational program, and \$6000 on each utility program. How many of each type of software should the company publish annually for maximum profit?

1. 👍
2. 👎
3. 👁
1. let x,y,z be the number of games, education, utility programs sold.

you want to
maximize 5000x+8000y+6000z subject to
x+y+z = 36
x >= 4
z <= 2y

Looks like (x,y,z) = (4,32,0)

1. 👍
2. 👎
2. im not really understand this topic

1. 👍
2. 👎

Similar Questions

1. Technology

Can you pleas check my answers? 1. Which of the following is a list of input devices? A. printer, mouse, speakers (answer) B. RAM, monitor, printer C. microphone, mouse, scanner D. CPU, monitor operation system 2. Which type of

2. hardware components

which type of software coordinates the hardware and software of a computer to work efficiently and productively

3. Math

Gwen owns 357 shares of common stock in a software company. The software company recently paid a cash dividend of \$3.75 per share. If the current price of the stock is \$14.75, what is the dividend yield of the stock? 25.42% 2.54%

4. Game

3. In 2016 mobile games accounted for __ percent of the video game Avenue A.1 B.18 C.33 D.46 4. King tut was buried with multiple copies of an ancient board game A.true B. False 5. After the gaming bust Atari buried around 700,000

1. Career prep

Peter is creative and excels with visual presentation he enjoys working in small groups and in an active environment which jobs would match his personality? business manager chef paintier***** waiter software engineer****** am i

2. algebra

You decide to market your own custom computer software. You must invest \$3,255 for computer hardware, and spend \$2.90 to buy and package each disk. If each program sells for \$13.75, how many copies must you sell to break even?

3. math

PLEASE HELP!!! This is a last minute homework help!!! A computer software company models the profit on its latest video game using the relation: p(x) = -4x^2+20x-9, where x is the number of games produced in hundred thousands and

4. Education/Technology

In selecting software for the classroom, it is first necessary to ensure that A) the software features both text and colorful graphics. B) the software is at the correct grade level for your students. C) the software addresses

1. math

A computer software company models the profit on its latest video game using the relation: p(x) = -4x^2+20x-9, where x is the number of games produced in hundred thousands and p(x) is the profit in millions of dollars. c) what is

2. Education technology

Which of the following helps prevent your computer from becoming infected with malicious code? Open all emails with attachments that arĂ© from stanger Is sure your computer gets open up and the dust cleaned out of its regularly.

3. English

3. In 2016 mobile games accounted for __ percent of the video game Avenue A.1 B.18 C.33 D.46 4. King tut was buried with multiple copies of an ancient board game A.true B. False 5. After the gaming bust Atari buried around 700,000