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
Doss [256]
3 years ago
7

10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE

Mathematics
1 answer:
Inga [223]3 years ago
3 0
A) Profit is the difference between revenue an cost. The profit per widget is
  m(x) = p(x) - c(x)
  m(x) = 60x -3x^2 -(1800 - 183x)
  m(x) = -3x^2 +243x -1800
Then the profit function for the company will be the excess of this per-widget profit multiplied by the number of widgets over the fixed costs.
  P(x) = x×m(x) -50,000
  P(x) = -3x^3 +243x^2 -1800x -50000

b) The marginal profit function is the derivative of the profit function.
  P'(x) = -9x^2 +486x -1800

c) P'(40) = -9(40 -4)(40 -50) = 3240
  Yes, more widgets should be built. The positive marginal profit indicates that building another widget will increase profit.

d) P'(50) = -9(50 -4)(50 -50) = 0
  No, more widgets should not be built. The zero marginal profit indicates there is no profit to be made by building more widgets.

_____
On the face of it, this problem seems fairly straightforward, and the above "step-by-step" seems to give fairly reasonable answers. However, if you look at the function p(x), you find the "best price per widget" is negatve for more than 20 widgets. Similarly, the "cost per widget" is negative for more than 9.8 widgets. Thus, the only reason there is any profit at all for any number of widgets is that the negative costs are more negative than the negative revenue. This does not begin to model any real application of these ideas. It is yet another instance of failed math curriculum material.

You might be interested in
At the toll booth, the chance that a driver has exact change is 1/4, independent of vehicle. Find the probability that no vehicl
MAXImum [283]

Answer:

g

Step-by-step explanation:

 b

4 0
3 years ago
A bag contains 5 white, 3 black, and 2 green balls. Balls are picked at random.
Soloha48 [4]

Answer:

look down there

Step-by-step explanation:

First ball:

Probability of drawing a white ball is 5/8

Probability of drawing a black ball is 3/8

Second ball:

This depends on the first ball drawn, lets say you drew a white ball initially, 4 white balls are left out of 7 balls in total. The probability of a white ball in the second pick is 4/7.

Total probability of drawing two white balls is 5/8*4/7 (since they are independent events).

If you picked a black ball initially, picking another black ball would have a probability of 2/7, on similar grounds , total prob for 2 blacks would be 3/8*2/7.

The probability that you pick 2 balls of same color is (5/14 + 3/28) = 13/28. (Since they are mutually exclusive events)

6 0
3 years ago
what transformation was not done to the linear parent function f(x) to get the function (x)=-3(x+4)-7
Dominik [7]

Reflection over the x-axis, vertical shift scale factor 3, horizontal translation LEFT 3 units(opposite since there are parenthesis), vertical translation down 7 units.

3 0
3 years ago
A man bought a dozen boxes with 24 highlighter pens inside for $8 each box. He repacked five of those boxes into packages of 6 h
svetoff [14.1K]
He made $72

Hope this helps! :)
4 0
3 years ago
Read 2 more answers
Radical 16 * redical 12
alukav5142 [94]

\sqrt{16}\times\sqrt{12}

$=\sqrt{4^2}\times\sqrt{2^2\cdot3}$

$=4\times2\sqrt3=8\sqrt3$

6 0
3 years ago
Other questions:
  • A cell phone company has a basic monthly plan of 40$ plus $0.45 for any minutes uses over 700. Before receiving this statement,
    12·2 answers
  • Solve the equation cos(x + 60) =2sinx
    12·1 answer
  • Can you guys help me with this simple math problem ?
    8·1 answer
  • Find a polynomial F(x) of degree 3 with real coefficients and the following zeros. 4,1-i help fast please?
    5·2 answers
  • Let’s be together sad
    6·2 answers
  • X=1,<br> X^2=X,<br> X^2-1=X-1,<br> (X+1)(X-1)=X-1,<br> X+1=1,<br> X=0<br><br> Where is the mastic?
    9·1 answer
  • Welcome to the bread bank
    5·2 answers
  • S use f(x)=2x-5 and g(x)=4x+3
    9·2 answers
  • Can someone plz help with this? Thank you so much.
    12·2 answers
  • What is the slope below?? Please answer quickly! Due tonight.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!