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
8090 [49]
2 years ago
9

The expense function for a widget is E = -3,000p + 250,000. The revenue function is R = -600p^2 + 25,000p. Write the profit equa

tion in simplified form ( P= R- E) . Use the axis of symmetry formula to determine the maximum profit price and the maximum profit.
Mathematics
1 answer:
erastova [34]2 years ago
4 0

The maximum profit price and maximum profit are 23.33 and  301666.66 respectively

<h3>Difference of functions</h3>

Given the following functions

Expense =  E = -3,000p + 250,000.

The revenue function is R = -600p^2 + 25,000p

The profit is the difference between the revenue and cost to have;

P = R - E

P = -600p^2 + 25,000p - ( -3,000p + 250,000.)

Simplify

P = -600p^2 + 25,000p - ( -3,000p + 250,000.)

P = -600p^2 + 25,000p +3,000p-  250,000

P = -600p^2  + 28000p - 250000

The maximum price occurs when P'(p) = 0

P'(p) = -1200p + 28000

0 = -1200p + 28000

p = 28000/1200
p = 23.33

Substitute

P(23.33) = -600(23.33)^2  + 28000(23.33) - 250000

P(23.33) = -326573.34 - 250000 + 653240

P(23.33) = 301666.66

Hence the maximum profit price and maximum profit are 23.33 and  301666.66 respectively

Learn more on maximum function here: brainly.com/question/82347

#SPJ1

You might be interested in
Simplify. (-2/3) - (3/5)
bija089 [108]
Common factors -10/15 -9/15
Subtract              -19/15
Your answer is -19/15
8 0
3 years ago
Read 2 more answers
The mass of the sun is about 2×10expont 30 kilograms how many kilograms are in one metric ton
V125BC [204]
The answer is three jams. Mama
5 0
3 years ago
5 divided by what equals 9
Effectus [21]
5 divided by 45 equals 9
3 0
3 years ago
Read 2 more answers
Can someone please help this is 6th grade made i will give brainliest
Mademuasel [1]

Answer:

wat u need help with

were the question

Step-by-step explanation:

3 0
3 years ago
Any value that is set and cannot change is a variable.<br><br> A.True<br> B.False
Leni [432]
Thank you for posting your question here at brainly. Feel free to ask more questions.  

The best and most correct answer among the choices provided by the question is <span>B.False</span><span> .</span><span>       
    </span><span>
Hope my answer would be a great help for you.</span>
7 0
3 years ago
Other questions:
  • Buddy is about 6inches long. It took three point five rows of stiches to make 0.5 inches in length for buddy's sweater. How many
    12·2 answers
  • What is a region ( this is a math question)
    12·1 answer
  • F(x)=(x+0.25x)(50-x)
    11·1 answer
  • Please Help me With this 30 points and brainliest to first person
    11·2 answers
  • In the figure below, find the exact value of z. (do not approximate your answer)
    12·2 answers
  • Find the interior angle sum for each polygon.
    14·2 answers
  • Can someone help me please really need help? I’ll help you back please &amp; thanks
    15·1 answer
  • Solve for x: -(10+3x)=44
    12·1 answer
  • What is the answer I have no clue
    11·1 answer
  • H e l p !!!!!! D;<br><br><br><br><br><br><br>will give brainlies t
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!