Answer:
Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.
Step-by-step explanation:
We are given the following information in the question:
The marginal price per pound (in dollars) is given by:

where x is the supply in pounds.

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.
Thus, we are given that
P(9) = 7
Putting the values, we get,


Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.
P(x) = 4

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.
Answer: No, New York students are not truly more nerdy than the California students.
Step-by-step explanation:
Since we have given that
Number of students in a group = 50
Mean score of New York psychology = 530
Mean score of California psychology = 515
Standard deviation = 80
So, we will find t-distribution first.

Let α = 5% = 0.05
So, 
Since t < t(critical value)
No, New York students are not truly more nerdy than the California students.
The way your problem is set it should be simplified to this....4x + 55
Let s represent the number of sales, and t the total pay
the equation to represent this situation is t = 2s + 50
so set t to 100, and solve for s
100 = 2s + 50
50 = 2s
25 = s
you need to make at least 25 sales