Answer:
a. Based on this information, construct a linear demand equation for Yoda vs. Alien T-shirts, and hence obtain the weekly revenue R as a function of the unit price x.
- y = 640 - 80x ⇒ demand equation
- xy = - 80x² + 640x ⇒ weekly revenue
b. The university administration charges the fraternities a weekly fee of $500 for use of the Student Center. Write down the monthly profit P as a function of the unit price x, and hence determine how much the fraternities should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?
Step-by-step explanation:
first, we must determine the slope = (400 - 240) / (3 - 5) = 160 / -2 = -80
the demand equation:
y - 240 = -80 (x - 5)
y = -80x + 400 + 240
y = 640 - 80x
total weekly revenue:
xy = -80x² + 640x
xy - 500 = -80x² + 640x - 500
max. profit ⇒ x = -640 / (2 x -80) = -640 / -160 = 4
maximum weekly profit = -80($4²) + 640($4) - $500 = -$1,280 + $2,560 - $500 = $780
The pair of numbers that fall between 72 are 71 and 73.
Answer: (2.54,6.86)
Step-by-step explanation:
Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.
We assume the incomes are normally distributed.
Mean income : 
Standard deviation : 
The confidence interval for the population mean (for sample size <30) is given by :-
Given significance level : 
Critical value : 
We assume that the population is normally distributed.
Now, the 95% confidence interval for the true mean will be :-
Hence, 95% confidence interval for the true mean= (2.54,6.86)
First think of the form a^2 + 2c + c^2
c in the question is clearly 3.
So we need first to add 8 for both sides to get rid of -8 and then add 9 to complete the square.
So it will be (x^2+3)^2 = 17
So the choice number 3 is the answer.
Hope this helps!
Answer:
12
Step-by-step explanation:
its not 12 im just trying to make an account
