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
makvit [3.9K]
1 year ago
5

a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.

. How many items must be sold each day in order to make a profit
Mathematics
1 answer:
Radda [10]1 year ago
3 0

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x=  \frac{-b-\sqrt{b^{2}-4ac } }{2a}

x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}

x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}

x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};

x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

(-714.005)^2+700(-714.005)-10000=-0.360

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725

You might be interested in
What is greatest common factor of 175 and 280
laila [671]

Answer:

The GCF of 175 and 280 is 35.

4 0
3 years ago
Read 2 more answers
Anita works a part-time job where she makes $9.45 per hour. Anita's gross pay for the current pay period is $238.61. Her deducti
kogti [31]

Answer:

1. 181.59 is her net pay and she worked 25.25 hours.

Step-by-step explanation:

3 0
3 years ago
Subtract the rational expression 1/x^2-x-6 - x/x+2.
Aleksandr [31]

Answer:

Step-by-step explanation:

x² - x -6 = x²  + 2x - 3x - 3*2

            =x(x + 2) - 3(x + 2)

            = (x + 2 )(x - 3)

\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\

                      = \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\

4 0
2 years ago
84 is what percent of 105?
saul85 [17]

Answer:

80%

Step-by-step explanation:

84/105=0.8

0.8=80%

3 0
3 years ago
Read 2 more answers
Solving equations 10z+3z+5=2(z-3)
Nesterboy [21]

Answer: Use the PEMDAS rule

Step-by-step explanation: 0z+3z+5=2(z-3)=

z= -1

you need to do the z numbers all together and the normal numbers together then subtract them to get -1

I hope that I help you

5 0
3 years ago
Other questions:
  • Can you help or tell answer for numbers 1 2 3 4
    15·1 answer
  • PLEASEE HELPP TIMED<br> Name one pair of nonadjacent complementary angles in the diagram.
    5·2 answers
  • Given the inequality -8 &lt; 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multi
    13·2 answers
  • Is √20 a irrational number rational number integer or whole number
    15·1 answer
  • The midpoint of . is the point M, where AM = 5x + 4 and MB = 3+16 . Find the length of . AB
    6·1 answer
  • L
    7·1 answer
  • The problem below has been solved incorrectly. Identify and explain the error.
    7·1 answer
  • Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?
    15·1 answer
  • Which of the following is the set of the second coordinates
    13·1 answer
  • Find the maximum value on (0, infinity) for f(x)=7x-2xlnx
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!