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
mestny [16]
3 years ago
9

An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will

go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

40 more paintings in order to maximize sales making a total of 60 paintings

Step-by-step explanation:

Let x= no.of copies above 20

Total Sales(x) = (number of copies)(price per copy)

Sales (x)= (20 +x)(100 –x)

Open bracket

=1200-20x+100x-x^2

=1200+80x-x^2

Derivative of the sales

80-2x=0

80=2x

Divide both sides by 2

40=x

Because Sales(x)= –2, this is maximal by the second derivative test

The artist should make 40 more paintings in order to maximize sales making a total of 60 paintings.

You might be interested in
Read the following and answer the questions that follow.
user100 [1]

Answer:

Step-by-step explanation:

(7/12) of 840 attended the concert:

(7/12)*(840) = 490 students attended the Spring Concert.

(840 - 490) = 350 did not attend

(350/840) is the fraction of students who did not attend.  This can be reduced to (35/84)

(350/840) = 0.4167 or 41.67% did not attend.  

3 0
2 years ago
Explain how to find the sum of 3/10 + 4/100
Neporo4naja [7]

Answer: 17/50

Step-by-step explanation:

First, to add fractions, we must find a common denominator, in this case, 100.

Then, we must make the fractions being added all have the common denominator.

So, we must multiply 3/10 * 10/10, which equals 30/100

30/100 + 4/100

Then, just add across the numerator to get 34/100, which can be simplified to 17/50

6 0
2 years ago
Read 2 more answers
Choose the expression that is equal to 28.3
tamaranim1 [39]
The first one = 60.3 so it can’t be that one.
the second one = 34.5 so not that one either
the third one = 60.3
and the last one = 28.3
5 0
2 years ago
Read 2 more answers
Help please<br>h - (-2) ≥ 10​
hichkok12 [17]

Answer:

answer

Step-by-step explanation:

h+2 ≥ 10

h ≥ 10 - 2

h ≥ 8

5 0
3 years ago
PLEASE ANSWER ASAP !! Have till 11:59pm
Bond [772]

Step-by-step explanation:

you have the formula and the numbers. just calculate !

cost of membership

y = 100 - 0.02x

a)

for x = 2600

y = 100 - 0.02×2600 = 100 - 52 = $48

b)

the reduction element of the cost of membership is the

"- 0.02x" part.

we want to refuse the membership costs by $41, so

0.02x = 41

x = 41/0.02 = $2,050

c)

the same as b)

just now the membership costs need to be reduced to 0.

so, that means we need to reduce by $100 !

0.02x = 100

x = 100/0.02 = $5,000

3 0
2 years ago
Other questions:
  • If a faucet drips 5 mL of water each minute, what is the volume of water dripped at the end of five minutes?
    6·2 answers
  • What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12...
    6·1 answer
  • Solve for x 4(2x+9)=-44+8
    9·2 answers
  • Which diagram represents the end of a cube? Select all that apply
    5·2 answers
  • Stan's savings account has a balance of $4706. after 4 years, what will the amount of interest be at 4% compounded quarterly?
    10·1 answer
  • In a race, Jason's position was -11 1/5 feet relative to the leader after 1 3/4 minutes. On average, how much did Jason's positi
    12·1 answer
  • How do you graph y=−x−2.
    8·2 answers
  • 12. Sam is 2 years younger than Sue, who is y years old. Write an expression for Sam's<br> age.
    7·2 answers
  • Help me please its math
    7·1 answer
  • Please help!! Very urgent..thank you!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!