1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
icang [17]
3 years ago
5

A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.

Mathematics
1 answer:
serg [7]3 years ago
6 0

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

You might be interested in
X(2x+1)(5x-30)≤0<br><br> I'm confused help
elena-s [515]

Answer:

i hate math sorry can't help you with this try anther person cAn help ya

6 0
3 years ago
What is the result when 3x3 – 7x2 – 17x - 12 is divided by 2 – 4?
lisabon 2012 [21]
It is that’s wat I got 1028
8 0
3 years ago
CAN YALL HELP ME WITH THIS ONEEE!!!!! PLZ
erma4kov [3.2K]

Answer:

b

Step-by-step explanation:

12x12

11x11

10x10

9x9

8x8

7x7

6x6

5x5

4x4

3x3

2x2

1x1

add em together equal 650

8 0
3 years ago
Read 2 more answers
Find the Pearson correlation coefficient R for the given point round any intermediate calculation to no less than six decimal pl
ElenaW [278]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Get the given data values

STEP 2: Write the formula for calculating the coefficient

STEP 3

: Calculate the correlation coefficient

Using the calculator,

Hence, the value of r is 0.791

7 0
1 year ago
A bag has 9 marbles: 4 are green, 2 are red, and 3 are blue. Melissa chooses a marble at random, and without putting it back, ch
nika2105 [10]

Answer: pr (blue) = 1/3 or 0.33

Pr(green without replacement) = 1/2 = 0.5

Step-by-step explanation:

Probability = number of possible outcomes/ number of total outcomes

Total number of outcomes is the sum of all the marbles, given as 9

Pr ( first marble blue) = no of blue marbles/ total number of marbles

= 3/9 = 1/3 or 0.333

Second marble is chosen without replacement- this means that the total outcome has reduced by 1, total number of marbles has reduced to 8 because there was no replacement.

Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble

= 4/8 = 1/2 = 0.5

I hope this helps.

7 0
3 years ago
Other questions:
  • Write as an expression and simplify
    8·1 answer
  • Could someone help me
    15·1 answer
  • Heart beats 2400 times during 20 minutes of running. While resting you record your heart beating 17 times in 15 seconds. What is
    11·2 answers
  • A shopper uses a department store gift card to pay for 5 sweaters priced at $26 each. What is the change in the value of the gif
    14·1 answer
  • Find x <br> Answer choices <br> 9<br> 15<br> 12<br> 10.8
    11·2 answers
  • Which value of x makes 7+5(×-3)=22
    5·2 answers
  • A cross section is the intersection of a (solid or point) and a(plane or line) .
    15·2 answers
  • 2. The Citadel's current enrollment is 1200 students. The enrollment is predicted to
    14·1 answer
  • Rewrite using the Distributive Property: 3x(4+6)
    8·1 answer
  • I need help with this question
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!