A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson, but has a variable cost for each lesson of $35 to pay the instructor. a. Write a linear cost function representing the cost to the studio C ( x ) to hold x private lessons for a given month. b. Write a linear revenue function representing the revenue R ( x ) for holding x private lessons for the month. c. Write a linear profit function representing the profit P ( x ) for holding x private lessons for the month. d. Determine the number of private lessons that must be held for the studio to make a profit. e. If 82 private lessons are held during a given month, how much money will the studio make or lose?
A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson, but has a variable cost for each lesson of $35 to pay the instructor. a. Write a linear cost function representing the cost to the studio C ( x ) to hold x private lessons for a given month. b. Write a linear revenue function representing the revenue R ( x ) for holding x private lessons for the month. c. Write a linear profit function representing the profit P ( x ) for holding x private lessons for the month. d. Determine the number of private lessons that must be held for the studio to make a profit. e. If 82 private lessons are held during a given month, how much money will the studio make or lose?
Solution Summary: The author explains the linear cost function that represents the fixed monthly cost of a dance studio, the variable cost to be paid to instructor for each lesson, and charges of each private lesson.
A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson, but has a variable cost for each lesson of $35 to pay the instructor.
a. Write a linear cost function representing the cost to the studio
C
(
x
)
to hold x private lessons for a given month.
b. Write a linear revenue function representing the revenue
R
(
x
)
for holding x private lessons for the month.
c. Write a linear profit function representing the profit
P
(
x
)
for holding x private lessons for the month.
d. Determine the number of private lessons that must be held for the studio to make a profit.
e. If 82 private lessons are held during a given month, how much money will the studio make or lose?
I want to learn this topic l dont know anything about it
Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
PRIMERA EVALUACIÓN SUMATIVA
10. Determina la medida de los ángulos in-
teriores coloreados en cada poligono.
⚫ Octágono regular
A
11. Calcula es número de lados qu
poligono regular, si la medida
quiera de sus ángulos internos
• a=156°
A= (-2x+80
2
156 180-
360
0 = 24-360
360=24°
• a = 162°
1620-180-360
6=18-360
360=19
2=360=
18
12. Calcula las medida
ternos del cuadrilá
B
X+5
x+10
A
X+X+
Sx+6
5x=3
x=30
0
лаб
• Cuadrilátero
120°
110°
• α = 166° 40'
200=180-360
0 =
26-360
360=20
ひ=360
20
18 J
60°
⚫a=169° 42' 51.43"
169.4143180-340
0 = 10.29 54-360
360 10.2857
2=360
10.2857
@Sa
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