Divide through everything by <em>b</em> :
Since <em>a/b</em> < <em>c/d</em>, it follows that
Multiply through everything on the right side by <em>b/d</em> to get
and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) < <em>c/d</em>.
For the other side, you can do something similar and divide through everything by <em>d</em> :
and <em>a/b</em> < <em>c/d</em> tells us that
Then
and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) > <em>a/b</em>.
Then together we get the desired inequality.
Answer: i. There are 140 students willing to pay $20.
ii. There are 200 staff members willing to pay $35.
iii. There are 100 faculty members willing to pay $50.
Step-by-step explanation: Suppose there are three types of consumers who attend concerts at Marshall university's performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs.
For each concert:
A) If the performing arts center can charge only one price, what price should it charge? What are profits at this price? B) If the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits?
C) If the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?
Answer:
1500kg
Step-by-step explanation:
50*30=1500
Answer:
2: 3, 4: 6, 6: 9, 8: 12 , 10: 15, 12: 18, 14: 21, 16: 24, 18: 27, 20: 30, 22: 33, 24:36, 26: 39, 28: 42, 30: 45, 32: 48, 34: 51, 36: 54, 38: 57
Step-by-step explanation:
The ratio 4: 6 can be simplified to 2:3 by dividing by 2 to each side of the ratio. After simplified to 2:3, you add the ration to itself to get the rest of the terms.
