Answer:
X: discrete
Y: continuous
M: continuous
N: discrete
P: discrete
Q: continuous
Step-by-step explanation:
First, we have to know the difference between discrete and continuous variables:
- Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. They take positive integer values, {0, 1, 2, ..., n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values.
- Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. They take positive real values, that means that in the interval used for the variable there are infinite possible values.
Now, we classify each variable:
- The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X.
- The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y.
- The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M.
- The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N.
- The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P.
- The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q.
C). In step 2, he needed to divide both sides of the equation by 5.
105
Bc u divide 42% (0.42) x 250
A. Positive integer base 14
B. Exponent number 2
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
