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
Answer:
The scale factor is ( 1/3)
The dilation is reduction
Step-by-step explanation:
I hope that is useful for you :)
Answer:
The triangle one is 80mm and parallelogram is 24 in.
Step-by-step explanation:
Answer:
The value of k is -5.
Step-by-step explanation:
To find the value of k, start by using the known information we have in the equation for slope. The equation is below.
m(slope) = (y2 - y1)/(x2 - x1)
In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.
-1/5 = (-7 - k)/(6 + 4)
-1/5 = (-7 - k)/10
Now we can use cross multiplication to solve for k.
-1/5 = (-7 - k)/10
-1*10 = 5(-7 - k)
-10 = -35 - 5k
25 = -5k
-5 = k
