10 POINTS Seventeen is 20% of what number? Enter your answer in the box.

The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the

mina [271]

Answer:

The manufacturer must produce 35 units to break even.

Step-by-step explanation:

The break even function is when those functions, the revenue R(x) and the cost C(x), are equal. So

$R(x) = C(x)$

$200x - x^{2} = 35x + 4550$

$x^{2} + 35x - 200x + 4550 = 0$

$x^{2} - 165x + 4550 = 0$

So we have to solve this quadratic function to find the number of units that the manufacturer must produce to break even:

Solving a quadratic function:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4a$

In this problem, we have that:

$x^{2} - 165x + 4550 = 0$

So

$a = 1, b = -165, c = 4550$

$\bigtriangleup = (-165)^{2} - 4(1)(4550) = 9025$

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-165) + \sqrt{9025}}{2(1)} = 130$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a} = \frac{-(-165) - \sqrt{9025}}{2(1)} = 35$

The manufacturer produces between 0 and 100 units. So the answer is 35.

The manufacturer must produce 35 units to break even.

7 0

2 years ago

3. Armen los siguientes prismas a partir de los que construyeron con su material recor

KiRa [710]

Answer:

can you translate to english

Step-by-step explanation:

I can't understand

6 0

2 years ago

What is the solution to 9e-7=7e-11 need it now

oee [108]

The answer is e = -2

I hope this helped! If so, please mark brainliest!

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

2e + 4 = 2 • (e + 2)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2 Solve : e+2 = 0

Subtract 2 from both sides of the equation :

e = -2

8 0

3 years ago

Read 2 more answers

Graph the equation 36x^2 + 16y^2 = 576 on a graphing calculator. Identify the conic section. Then identify the center and interc

trasher [3.6K]

Answer:

If we use a graphing tool or a calculator, we can easily plot the equation provided.

Please see the attached images, where we can find the center of the ellipse, the intercepts and more information about the graph.

5 0

2 years ago

Let h(x)=x^2+1 h(h(h(3))) I got the answer 10202

pashok25 [27]

Answer: 10202

Step-by-step explanation:you are right! I’m pretty sure!

H(3)=10

H(10)=101

H(101)= 10202

6 0

2 years ago