Respuesta :
Salary relationships usually have behaviors that can be expressed through mathematical equations, for this case we must locate the information they give us, according to which the salary of the movie star [tex]S[/tex] is equal to a fixed basic remuneration [tex]b[/tex] plus a percentage [tex]x[/tex] of the gross income [tex]g[/tex], that is:
[tex]S = b + gx[/tex]
With this equation and the data they give us, we can solve the request so :
[tex]\boldsymbol{1)} \; 32 = b + 100x\\\boldsymbol{2)} \; 24 = b + 60x[/tex]
We clear the basic remuneration [tex]b[/tex] from the second equation and replace in the first:
[tex]\boldsymbol{2)} \; 24 = b + 60x\\24-60x = b\\\boldsymbol{1)} \; 32 = b + 100x\\32 = (24-60x) + 100x\\32-24=100x-60x\\8=40x\\\frac{8}{40} =x\\\boldsymbol{x=0,2}\\b=24-60x\\b=24-60(0,2)\\b=24-12\\\boldsymbol{b=12}[/tex]
Thus, with the fixed basic remuneration and the percentage of gross income calculated, we can estimate how much the following film should obtain so that the movie star obtains at least [tex]40[/tex] millions salary:
[tex]40 = g (0.2) +12\\40-12 = g (0.2)\\\frac{28}{0.2y} = g\\\boldsymbol{g = 140}[/tex]
Answer
The minimum amount of gross income that the next film should generate is [tex]\$ 140[/tex] millions
Answer:
$140 MN
Explanation:
Salary = %age of Gross Revenue + Fixed amount
For A:
32 = x% of 100 + y
For B:
24 = x% of 60 + y
Subtracting A and B
8 = x% of 40
x = 20%
Solve for y:
24 = 20% x 60 + y
y = $ 12 MN
So to make at least $40 million on her next film:
40 = 20% of x + 12
x = 140 MN
