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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.

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A group of four components is known to contain two defectives. An inspector tests the components one at a time until the two def
Stells [14]

Answer:

when Y = 2, P(2) = 1/6 = 0.167

when Y = 3, P(3) = 2/6 = 0.333

when Y = 4, P(4) = 3/6 = 0.5

Step-by-step explanation:

Total number of possible ways to choose 2 components for defectives out of 4 components = 4C2 = 6

Y can only take values of 2, 3 and 4

So, Probability of Y = P(Y) = 1C(Y-1) / 6

when Y = 2, P(2) = 1/6 = 0.167

when Y = 3, P(3) = 2/6 = 0.333

when Y = 4, P(4) = 3/6 = 0.5

4 0
3 years ago
I need help with this question please and thank you
marissa [1.9K]

Answer:

y = -1x + 3 or f(x) = -1x + 3

Step-by-step explanation:

Rise/run = 3/-3 =<em> <u>-1</u></em>

Crosses the y-axis at <em><u>3</u></em>

y = <em><u>-1</u></em>x + <em><u>3</u></em> or f(x) = <em><u>-1</u></em>x + <em><u>3</u></em>

8 0
3 years ago
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GIVING 50 POINTS TO WHOEVER ANSWERS CORRECTLY!!!!!!
mars1129 [50]

Answer:

(2,-2) --> (-1, 3)

(8,-2) --> (5, 3)

(8,-5) --> (5, 0)

(2,-5) --> (-1, 0)

7 0
2 years ago
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Suppose g is the function g(x) = 2^x and g : {1, 2, 3} -&gt;{1, 2, 4, 8}
Mashutka [201]

Answer:

Step-by-step explanation:

Given that g is a function from g : {1, 2, 3} ->{1, 2, 4, 8}

by the function

g(x) = 2^x

i.e. we have g(1) =2\\g(2) = 4\\g(3) =8

Range = {2,4,8} Since there is an extra element 1 in the co domain which is not in range , g is not on to

But g is one to one as 1,2,3 have different images.

4 0
3 years ago
9th grade- Point slope of line. Please explain how to do this, I got it wrong. I need an explanation cause I haven’t done it in
Andrei [34K]

Answer:

The answer would be C

Step-by-step explanation:

You were going in the right direction but the problem was that you needed to subtract and not add.  The formula should be y-y1 / x-x1 iirc. Hope this helped.

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