I really need help with the following questions. I don\'t just need an answer, I
ID: 2985695 • Letter: I
Question
I really need help with the following questions. I don't just need an answer, I need to know STEP by STEP how you got it. Excellent rating to the fist person that gives me the correct answer (I know the correct answer, I just need to know how you got it!).
1. A textbook publisher puts out 72 new books each year, which are classified as elementary intermediate and advanced. The company%u2019s policy for new books is to publish at least four advanced books, at least 3 times as many elementary books as intermediate books, and at least twice as many intermediate books as advanced books. On the average, the annual profits are $8000 for each elementary book, $7000 for each intermediate book, and $1000 for each advanced book. How many new books of each type should be published to maximize the annual profit while conforming to company policy?
Explanation / Answer
let x: no. of elementary books
y:no. of intermediate books
z:no. of advanced books
constraints
z>=4
x>=3y
y>=2z
x+y+z =72
profit= 8000x + 7000y + 1000z
from above equations we get
y>=8
x>=24
for maximum profit z should be minimum, so z=4
then x should be maximum, maximum possible value of x= 72-4-8 = 60
elementary:60
intermediate:8
advanced:4