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
11Alexandr11 [23.1K]
3 years ago
7

A toy store owner estimates that by charging x dollars each for a certain toy, he can sell 40−x toys each week. The quadratic eq

uation R=−x^2+40x is used to find the revenue, R , received when the selling price of a toy is x . Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.
Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:x=20

Step-by-step explanation:

Given

selling Price of Toy is x dollars

he can sell 40-x toys each week

Thus Revenue Generated from selling 40-x toys at x dollar can be given by

R=-x^2+40x

To get maximum Revenue differentiate R with respect to x  and equate it to 0

therefore \frac{\mathrm{d} R}{\mathrm{d} x}=-2x+40

-2x+40=0

x=20

thus for maximum Revenue owner sells 20 toys each week

Max Revenue R=-(20)^2+40\times 20=-400+800=$ 400

You might be interested in
Pat is painting a stage backdrop for a play. The paint he is using covers 90 square feet per quart. How many quarts of paint sho
Scorpion4ik [409]
A) If you cut off half the peaks (3.5 ft down from the top), they will just fill the valleys making a rectangle 18.5 ft by 30 ft. The area is the product of these dimensions.
  A = (18.5 ft)*(30 ft) = 555 ft²

b) To determine the number of quarts of paint required, divide this number by 90 ft². Since you cannot buy a partial quart, if there is any remainder, use the next higher integer number of quarts.
  555/90 ≈ 6.2 so Pat should buy 7 quarts of paint.
4 0
3 years ago
In how many ways can a committee of four men and four woman be formed from a group of seven men and eleven women?
-Dominant- [34]
Choosing 4 men from seven can be done in 7C4 = 35 ways
(There are 7 to choose from then 6 and 5 and 4 = 7 x 6 x 5 x 4
but we don’t want them in order so we need to divide by 4! = 4 x 3 x 2 x 1)
Similarly choosing 4 women from 11 can be done in 11C4 = 330 ways.

Total number of ways to choose 4 men and 4 women = 35 x 330 = 11550
3 0
2 years ago
A cake company makes chocolate and vanilla cakes. The ratio of chocolate cakes to vanilla cakes is 3:4. What is the ratio of the
aleksley [76]

Answer:

4:7

Step-by-step explanation:

4:7

they make 7 cakes in total (3:4 = 7).

there are 4 vanilla cakes.

therefore, the ratio of vanilla cakes to the total number of cakes is 4:7.

6 0
3 years ago
Sam is saving money to buy himself a new phone. He currently has $95. He is able to save about $20 a week. Let represent how muc
Sunny_sXe [5.5K]

Answer:

the correct answer is d

Step-by-step explanation:

w(s)=weeks saved and 20s is the gain of 20 dollars every week. and the 95 is the starting amount that sam had

4 0
2 years ago
If the price of an object dropped 75% down to $85.99 what was the original price?
Serggg [28]
If the price of an object drastically dropped 75%, then the dropped price is equal to 25% of the original price. That means that to find the original price, we have to multiply by the reciprocal of 25% (4). The original price would be $85.99 * 4 which is $343.96.
6 0
3 years ago
Other questions:
  • Let h(x) = -4x + 2. h(-4) =
    11·1 answer
  • △MAH∼△WCF . What is the value of x?
    13·2 answers
  • A number written as the sum of the value of its digits is written in​
    10·1 answer
  • Now it is time to create your own graph. Listed below are the weights of 10 of your classmates. Remember, this is science so we
    13·1 answer
  • What is the equation of the line passing through (2,3) and (5,6)
    5·2 answers
  • 10) A game went on sale from $16.00 to $13.00. What is the percent of
    15·1 answer
  • Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar?
    7·2 answers
  • Molly and henry went shopping for books molly bought 7 books for $42 and henry bought 8 book for $52 who got the better buy
    5·1 answer
  • 50 points if correct and a brainly
    8·1 answer
  • Pls answer pls pls plas
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!