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
harina [27]
3 years ago
12

An automobile dealer can sell 12 cars per day at a price of $13,000. He estimates that for each $300 price reduction he can sell

two more cars per day. If each car costs him $10,000, and fixed costs are $1000, what price should he charge to maximize his profit? [Hint: Let x = the number of $300 price reductions.]
Mathematics
1 answer:
Blababa [14]3 years ago
5 0

Answer:

$ 1100

Step-by-step explanation:

Let p(x) be the price he charges for a car after x price reductions.

Since car costs him $10,000, and fixed costs are $1000

p(x) = 13000-10000-1000-300x = 2000 - 300x

Let  q(x) = 12 + 2x the quantity of cars sold after x price reductions.

and the profit he can make are given by:

Profit = R(x) = (12+2x)(13,000 - 10,000 - 1,000 - 300x) dollars.

As you can see, maximizing profit , we have to check where P'(x) = 0

And P''(x)<0.

So we get x = 3.

Replacing the value we get we get 2000 - 300 X 3 = 2000 - 900

                                                                  = $ 1100

You might be interested in
Please help I need help with this badly asap !
evablogger [386]

Answer:

The third option

Step-by-step explanation:

It perfectly represents -24/3.

7 0
3 years ago
HELP54465745653475vccbxdsztgfghdcdx
vredina [299]

Answer:

Solution is invalid

Step-by-step explanation:

Let the time when they will have the same water content be x hours

At x hours;

For the first tank, the content will be;

50 + 10x

For the second;

29 + 3x

Equating both, will give us x

29 + 3x = 50 + 10x

We will get x as a negative number here

Since number of hours can not be negative, the solution is invalid

4 0
3 years ago
Pls help asap math isn't my thing
stira [4]

Your answer is in the picture above

6 0
4 years ago
The probability of passing the math class of Professor Jones is 64%, the probability of passing Professor Smith's physics class
alexgriva [62]

Answer:

The probability of using one or the other is 36%

Step-by-step explanation:

For solving this problem it is easy if we see it in a ven diagram, for this first we are going to name the initial conditions with some variables:

Probability of passing Professor Jones math class = 64% =0,64

P(J) = 0.64

Probabiliry of passing Professor Smith's physics class = 32% =0.32

P(S) = 0.32

Probability of passing both is = 30% = 0.30

P(JnS) = 0.30 (Is is an intersection so it is in the middle of the ven diagram

We need to know which is the probability of pasing one or the other for this we need to take out the probability of passing both for this we have to add the probability of passing  Professor Jones math class with the probabiliry of passing Professor Smith's physics class and substract the probability of passing both for each one:

P(JuS) = (P(J) - P(JnS)) + (P(S) - P(JnS)) = (0.64 - 0.30) + (0.32 - 0.30) = 0.34 + 0.02 = 0.36 = 36%

If you check the ven diagram you can see that if we add all what is in red we will have the probability of passing Professor Jones math class and if we add all what is in blue we wiill have the probability of passing Professor Smith's physics class, and if we add just what is in each corner we will get the same value that is the probabilty of passsing one or the other.

5 0
3 years ago
Scientists found the wreck of the titanic 3,797 m below sea level. How many km below sea level is the wreak ?
astraxan [27]

We are given that the titanic is found 3,797 m below sea level. This is simply equivalent to 3.797 km or 3.8 km when rounded off to one decimal.

We should take note that the letter k in km means kilo and a kilo is equivalent to 1000. So this means that for 1 km there is exactly 1000 m. So to convert, simply multiply a value with unit m with this conversion factor. Conversion factor = 1 km / 1000 m

Depth of titanic = 3,797 m (1 km / 1000 m)

<span>Depth of titanic = 3.797 km = 3.8 km</span>

4 0
4 years ago
Other questions:
  • Solve x^2 +5x - 14 = 0​
    15·1 answer
  • In January 1995, each student in a random sample of 150 physics majors at a large university was asked in how many lab classes h
    9·1 answer
  • 1/2 divided by 5 over blank ?
    10·1 answer
  • What value of x is in the solution set of -5x - 15 &gt; 10 + 20x?
    8·2 answers
  • Which of the following is an equivalent ratio to 5/2
    8·1 answer
  • Eric is playing a video game. At a cerain point in the game, he has 3,150 points. then the following events happen, in order:
    14·2 answers
  • A triangle has side lengths of 14 cm and 8 cm. Which could be the value of the third side, 26 cm or 18 cm?
    6·1 answer
  • A rectangular piece of land is 1/4 mile long and a 1/2 mile wide. What is the area of this piece of land in square miles?
    5·1 answer
  • Find the area of the triangle. Round to the nearest<br> tenth.
    15·1 answer
  • In how many ways can five indistinguishable rooks be placed on an 8-by-8 chess- board so that no rook can attack another and nei
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!