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:

Step-by-step explanation:
We are given the trigonometric equation of:

Let u = 4x then:

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

Convert u-term back to 4x:

Divide both sides by 4:

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.
Therefore:

Answer:
3n−32=7n+28
n=-15
Step-by-step explanation:
Let's solve your equation step-by-step.
3n−32=7n+28
Step 1: Subtract 7n from both sides.
3n−32−7n=7n+28−7n
−4n−32=28
Step 2: Add 32 to both sides.
−4n−32+32=28+32
−4n=60
Step 3: Divide both sides by -4.
−4n/−4=60/−4
n=−15
Since Jasmine has 12 strawberries and George has 6 times has many, you can multiply 12 by 6 to get the number of strawberries George has in his bag.
6 x 12 = 72.
George has 72 strawberries in his bag
Multiply 4 by nine and for by six
hope this helped