myininaya (myininaya):

Each employee of a certain company is in either Department X or Department Y , and there are more than twice as many employees in Department X as in Department Y. The average salary is 25,000 dollars for the employees in Department X and is 35,000 for the employees in Department Y. Which of the following amounts could be average salary for all of the employees in the company? Include all such amounts. A. 26,000 B. 28,000 C. 29,000 D.30,000 E. 31,000 F. 32,000 G. 34,000

6 years ago
OpenStudy (anonymous):

myin?

6 years ago
myininaya (myininaya):

hey

6 years ago
OpenStudy (anonymous):

I guess this would be weighted average?

6 years ago
OpenStudy (anonymous):

how was calc II at dawn?

6 years ago
myininaya (myininaya):

lol it was okay

6 years ago
OpenStudy (phi):

Does this make sense: let y= # in dept Y. assume # in dept X is exactly 2y then total salary = 2y*25 + y*35 and avg salary would be 85y/3y = 28.33 so moving people from dept Y to dept X would lower this to 28. In the limit, if all people moved from Y to X, the avg would be 25, so 26 is also possible

6 years ago
hero (hero):

Hi Apple Pi

6 years ago
OpenStudy (anonymous):

i was thinking that you have average is \[\frac{25x+35y}{x+y}\] with the obvious meaning of x and y. also you know \[x>2y\] so smallest denominator could be is \[3y\] if x =2 y, and biggest numerator could be is also if x = 2y at \[95y\] so biggest whole fraction can be is \[\frac{95y}{3y}=31\tfrac{2}{3}\] so anything less

6 years ago
OpenStudy (anonymous):

smallest is if they all work in X right? in that case you get \[25\]

6 years ago
OpenStudy (anonymous):

but i have been making mistakes all day. so could be wrong

6 years ago
myininaya (myininaya):

phi good job thats what i did A and B are the answers since we have that or situation

6 years ago
OpenStudy (phi):

@sat if you sub in 2y for x, you get 50y+35y. It looks like you did it the other way round. BTW, how do you get your post to be formatted??

6 years ago
OpenStudy (anonymous):

told you i had made mistakes all day!

6 years ago
myininaya (myininaya):

lol

6 years ago
myininaya (myininaya):

phi are you asking how to type in latex?

6 years ago
myininaya (myininaya):

satellite they aren't mistakes they are type-o's remember?

6 years ago