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nadya68 [22]
2 years ago
6

Explain step by step.

Mathematics
1 answer:
docker41 [41]2 years ago
3 0

Answer:

use math w a y for that its easier and it will give you the right answer

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The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
Jacqueline had $.84 cents her brother gave her another $.61 cents write the amount of money Jacqueline now has as a decimal expl
gladu [14]
It is 0.23 because 84-61 is 23 and 23 Divided by 100 is 0.23
8 0
3 years ago
What is the slope from point (0 0) to (6 -2)
mezya [45]
-1/3

Use the formula m = y2-y1/ x2 - x1.
Substitute the x and y values and you'll get -1/3
7 0
2 years ago
Read 2 more answers
Can someone pls help me!!!
max2010maxim [7]

Answer:

It will equally 2 because you need to change the 3 into a 9 because you can't add fractions without having the same common demometer

Step-by-step explanation:

4 0
3 years ago
Anyone wanna help out? :’)
Sever21 [200]

Answer:

325 dollars

Step-by-step explanation:

find 10% of 39000 3900 then divide it by 12 months which is 325 every month

5 0
2 years ago
Read 2 more answers
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