Answer: 199.5
Step-by-step explanation: 9.5 x 10.5 hours x 2 weeks
Answer:
The monopolist's net profit function would be:
Step-by-step explanation:
Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.
Therefore, if the demand curve is given by the function:
P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.
Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):
Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):
D= # of dimes
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
Answer:
x = 25
Step-by-step explanation:
Since it is an equilateral triangle it means that all the sides are 50. Each side is equal so, if you divide 150 by 3 you get 50. (and since perimeter is the adding of each side)
Now you want to try to figure out what the altitude is of the triangle so you divide it in half. Making the bottom side length now 25 because half of 50 is 25. You now have to use Pythagoreans theorem to figure out the altitude:
c^2 - a^2 = b^2
50^2 - 25^2 = b^2
2500 - 625 = b^2
1875 = b^2
√1875 = b
43.30127019
now you put that into the expression: x√3:
x√3 = 43.30127019
x = (43.30127019) ÷ (√3)
x = 25
Hope this helped!
Answer: There are 12 white and blue cars more than silver and red cars
Number of white cars: n1=25
Number of blue cars: n2=17
Number of white and blue cars: n3=n1+n2=25+17→n3=42
Number of silver cars: n4=21
Number of red cars: n5=9
Number of silver and red cars: n6=n4+n5=21+9→n6=30
How many more white and blue cars are there than silver and red cars?
n=?
n=n3-n6=42-30→n=12
Answer: There are 12 white and blue cars more than silver and red cars.
