Answer:
a. C(x) = 24,000 + 100x
b. R(x) = 200x
c. Break-even point is 240 canoes
Step-by-step explanation:
a. Cost function is C(x) = FC + pcost * x
C(x) = 24,000 + 100x
Where
FC=Fixed cost = 24,000
pcost=costs to prod canoes = $100
x=produce quantity
b.Revenue function
R(x) = Px * x
R(x) = 200x
Where
Px=Price
x=produce quantity
c. Break-even point is the amount of canoes where revenue are the same as cost. We cover the total cost with the sales.
So, FC + pcost * x=Px * x
24,000 + 100x=200x
Isolating x
24,000 =200x- 100x
100x=24000
x=24,000/100
x=240
Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
Answer:
B. 61%
Step-by-step explanation:
When we have the standard deviation of a sample, we use the t-distribution.
The width of an interval is related to the margin of error, which is given by the following equation:
M = T*s
In which T is related to the confidence level(and the sample size) and s is the standard deviation of the sample. Higher confidence levels have higher values of T.
A higher margin of error means that the interval is wider. To have a higher margin of error, we desire a higher value of T, which is achieved with a higher confidence level.
So the correct answer is:
B. 61%
Answer:
3.5m
Step-by-step explanation:
Multiply both values by 7 to find that 7in=3.5m
Answer:
x = 3
Step-by-step explanation:
4(2-x)+13=2x+3
distribute the 4.
8 - 4x + 13 = 2x + 3
combine like terms.
21 - 4x = 2x + 3
18 = 6x
divide by 6.
x = 3
check.
4(2 - 3) + 13 = 2(3) + 3
4(-1) + 13 = 6 + 3
-4 + 13 = 9
9 = 9
correct!
