Mathematics: Please help me this my e -learning work

a) b) c)Step-by-step explanation:a)We know that Revenue is our total income and cost is our total cost. Thus, profit is what s left after cost is subtracted from Income (revenue). Thus, we can say:P(x) = R(x) - C(x)Finding Profit Function (P(x)):This is the profit function.b)The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.Remember the...

Please help me this my e -learning work

Ответ:

wyattlb97

12.03.2022

Mathematics

1. =11x+9

2. =7a+17

3. =14k+10

4. =3r+19

5. =8w+19

6. $=\frac{19}{2}p+16$

7. =8x+18y

8. =11m+7n+14

9. ???

10. $=\frac{4p+5q}{6}+\frac{1}{4}$

Step-by-step explanation:

4x+9+7x

$\mathrm{Group\:like\:terms}$

=4x+7x+9

$\mathrm{Add\:similar\:elements:}\:4x+7x=11x$

=11x+9

7a+1+16

$\mathrm{Add\:the\:numbers:}\:1+16=17$

=7a+17

9+6k+8k+1

$\mathrm{Group\:like\:terms}$

=6k+8k+9+1

$\mathrm{Add\:the\:numbers:}\:9+1=10$

=6k+8k+10

$\mathrm{Add\:similar\:elements:}\:6k+8k=14k$

=14k+10

r+14+5+2r

$\mathrm{Add\:the\:numbers:}\:14+5=19$

=r+19+2r

$\mathrm{Group\:like\:terms}$

=r+2r+19

$\mathrm{Add\:similar\:elements:}\:r+2r=3r$

=3r+19

6+7w+w+13

$\mathrm{Group\:like\:terms}$

=7w+w+6+13

$\mathrm{Add\:the\:numbers:}\:6+13=19$

=7w+w+19

$\mathrm{Add\:similar\:elements:}\:7w+w=8w$

=8w+19

$\frac{1}{2}p+14+2+9p$

$\mathrm{Add\:the\:numbers:}\:14+2=16$

$=\frac{1}{2}p+16+9p$

$\mathrm{Group\:like\:terms}$

$=9p+\frac{1}{2}p+16$

$\mathrm{Factor\:out\:common\:term\:}p$

$=p\left(9+\frac{1}{2}\right)+16$

$=p\frac{19}{2}+16$

$=\frac{19}{2}p+16$

8x+3y+15y

$\mathrm{Add\:similar\:elements:}\:3y+15y=18y$

=8x+18y

3m+7n+14+8m

$\mathrm{Group\:like\:terms}$

=3m+8m+7n+14

$\mathrm{Add\:similar\:elements:}\:3m+8m=11m$

=11m+7n+14

Cant see the next one the number before w

$\frac{2}{3}p+\frac{5}{6}q+\frac{1}{4}$

$=\frac{2p}{3}+\frac{5q}{6}+\frac{1}{4}$

$=\frac{4p+5q}{6}+\frac{1}{4}$

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Ответ:

zitterkoph

17.01.2021

Mathematics

a) P(x)=-0.042x^2+530x-18000

b) P'(x)=-0.084x+530

P'(4000)=194

P'(9500)=-268

Step-by-step explanation:

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

$P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000$

This is the profit function.

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

$\frac{d}{dx}(x^n)=nx^{n-1}$