SOLUTION: Hi, please help me solve this. Thank you! Linear Programming Application (1) An office manager needs to staff the office. She hires full-time employees at $18 per hour and pa

Question 1061768: Hi, please help me solve this. Thank you!
Linear Programming Application
(1) An office manager needs to staff the office. She hires full-time employees at $18 per hour and part-time employees at $12 per hour. Write an objective function that represents the total cost (in $) to staff the office with x full-time employees and y part-time employees for 1 hr.

---

(2) Refer to 1. Suppose that the office manager needs at least 20 employees, but not more than 24 full-time employees. Furthermore, to make the office run smoothly, the manager knows that the number of full-time employees must always be greater than or equal to the number of part-time employees. Write a system of inequalities that represents the constraints on the number of full-time employees x and the number of part-time employees y.

Found 2 solutions by KMST, ikleyn:
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= number of full-time employees
= number of part-time employees
The objective function is
.

"At least 20 employees" means .
"No more than 24 full-time employees" means
"The number of full-time employees must always be greater than or equal to the number of part-time employees" means or .
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
The additional constraints are x >= 0, y >= 0.

RELATED QUESTIONS
Good evening, can you please help me solve the 3rd one? Thank you very much! (1) An... (answered by ikleyn,Theo)
Please help me solve this problem:The average allowance per head of the entire staff of... (answered by ikleyn)
Hi! Please help me out with this question! In a certain doctors' office the waiting... (answered by ewatrrr)
Thank you for your quick response. I understood your direction; however I am still... (answered by stanbon)
Suppose you are starting an office-cleaning service. You have spent $315 on equiptment.... (answered by cheesey)
I tried this several times, but could not solve it. Can someone please help me with... (answered by jorel1380)
This is Linear programming pls help me! :( After making various presentations to... (answered by KMST)
Hi I'm having a hard time solving this word problem, I hope you could help me with this... (answered by ikleyn)
This is Linear Programming Pls help us! :( please use 2 variables only x and y thank... (answered by Theo,KMST,ikleyn)