1. If the solution of ax - b > 0 is x < 5, then the solution of bx - a > 0 is
A. x > 1/5
B. x < 1/5
C. x < -1/5
D. x > -1/5
Linear programming (Just want to ask how to set constraints)
2. A 24-hour fast food shop employs 20 full-time workers and 40 part-time workers. Under the policy of the fast food shop, there must be at least 8 full-time workers for all sessions. Moreover, the ratio of the number of full-time workers to that of part-time workers must be at least 2 to 3 in daytime sessions and at least 1 to 3 during overnight sessions.
Suppose the shop employs x full-time workers and y part-time workers for daytime sessions.
Write the all constraints on x and y.
The answer is
1. x ≥ 8
2. x ≤ 12
3. 3x - 2y ≥ 0
4. 3x - y ≤ 12
5. x and y are non-negative integers.
Just want to ask how to set the 2nd and 3rd one.
Urgent, thanks for help.
更新1:
Yeah i made some typo mistake it should be 3x - y ≤ 20
