Question

yo i need help with my math hmw fr

Answer 1

the answer is 27

Answer 2

To find the point of diminishing returns (x,y) for R(x), we need to find the value of x where the marginal revenue equals zero. The marginal revenue is the derivative of the revenue function with respect to x. So, we can start by taking the derivative of R(x):

R'(x) = -3x² + 90x + 600

Next, we can set R'(x) equal to zero and solve for x:

-3x² + 90x + 600 = 0

Dividing both sides by -3 gives:

x² - 30x - 200 = 0

Using the quadratic formula, we get:

x = 15 + 5√17 or x = 15 - 5√17

Since the domain of x is 0 to 20, we reject the negative value of x. Therefore, the point of diminishing returns is (15 + 5√17, R(15 + 5√17)).

To find the corresponding revenue at this point, we can plug in the value of x into the revenue function:

R(15 + 5√17) = 11,000 - (15 + 5√17)³ + 45(15 + 5√17)² + 600(15 + 5√17)

R(15 + 5√17) ≈ $109,290.53

So, the point of diminishing returns is (15 + 5√17, $109,290.53).

Answer 3

To find the point of diminishing returns for R(x), we need to find the value of x where the marginal revenue equals zero. The marginal revenue is the second derivative of the revenue function with respect to x. So, we can start by taking the second derivative of R(x):

R''(x) = -6x + 90

Next, we can set R''(x) equal to zero and solve for x:

-6x + 90 = 0

Solving for x gives:

x = 15

Since the domain of x is 0 to 20, x=15 lies within the domain. Therefore, the point of diminishing returns is (15, R(15)).

To find the corresponding revenue at this point, we can plug in the value of x into the revenue function:

R(15) = 11,000 - 15³ + 45(15)² + 600(15)

R(15) = $109,500

So, the point of diminishing returns is (15, $109,500).

Answer 4

this late?

Answer 5

Wait do u still need help with it @swaggymark ?