Help help with this question

kvv77 [185]

Answer:

Step-by-step explanation:

a) Revenue function us derives by taking the product of the number of yachts and the demand function p given. Mathematically,

R(x) = xp(x)

Given p(x) = 700 − 0.01x ln(x)

R(x) = x{700 − 0.01x ln(x)}

R(x) = 700x - x(0.01x ln(x))

R(x) = 700x - 0.01x²lnx

Hence the revenue function R(x) is expressed as R(x) = 700x - 0.01x²lnx

Marginal revenue function is derived by finding the derivative of the revenue function R(x). On differentiating;

d{R(x)}/dx = 700 - 0.01{x²(1/x)+2xlnx} (note that product rule was used to differentiate the function in parenthesis).

d{R(x)}/dx = 700 - 0.01{x+2xlnx}

Open the parenthesis

d{R(x)}/dx = 700 - 0.01x-0.02xlnx

Hence the marginal revenue function R'(x) is expressed as 700 - 0.01x-0.02xlnx.

b) In order to estimate the revenue to be realized from the sale of the 375th 34 ft Sundancer yacht, we will simply substitute the variable x = 375 into the revenue function R(x)

Given R(x) = 700x - 0.01x²lnx

R(375) = 700(375) - 0.01(375)²ln(375)

R(375) = 262500-1406.25ln(375)

R(375) = 262500-8334.74

R(375) = 254,165.26

Hence the revenue realized from the sale is approximately $254,165

For the Marginal revenue Function,

R'(x) = 700−0.01x−0.02xln(x)

R'(375) = 700−0.01(375)−0.02(375)ln(375)

R'(375) = 700−3.75−0.02(375)ln(375)

R'(375) = 700-3.75-44.45

R'(375) = 651.8

The marginal revenue is approximately $652

6 0

3 years ago

Someone please help me

Arlecino [84]

Answer

hope this helps =)

Step-by-step explanation:

a (2,7)

b (-4,6)

d (-3,-3)

e (0,2)

f (7,-5)

sorry for the bad quality of the photo but i hope you see it well

4 0

3 years ago

Read 2 more answers

Jeni works from 8:00 - 3:15 three days in a row, only taking a half-hour unpaid lunch break each day. If she is paid $15 per hou

Umnica [9.8K]

Answer:

$101.25

Step-by-step explanation:

Given:

Jeni works from 8:00 - 3:15 three days

Taking a half-hour unpaid lunch break each day.

she is paid $15 per hour.

Question asked:

what will be her total earnings before tax ?

Solution:

Numbers of hours from 8:00 to 12 = 4 hours

Numbers of hours from 12:00 to 3:00 = 3 hours

Numbers of hours from 3:00 to 3:15 = 15 min = $\frac{15}{60}$ (converting min into hrs)

Total numbers of hours = 4 + 3 + $\frac{15}{60}$

= 7 + $\frac{15}{60}$ = 7 + 0.25

= 7.25 hours

Unpaid lunch break = half hours = 0.50 hours

Total number of hours for which she is paid = 7.25 - 0.50

= 6.75 hours

By applying unitary method :

In 1 hour she is paid = $15

In 6.75 hours she is paid = 15 $\times$ 6.75 = $101.25

Therefore, her total earnings before tax = $101.25

6 0

3 years ago

A spring is hanging from a ceiling. The length L(t) (in cm) of the spring as a function of time t (in seconds) can be modeled by

Zanzabum

Answer:

L(t) = 5·sin(πt) +7

Step-by-step explanation:

The middle of the oscillation of the given function occurs when t=0. At that point, ...

L(0) = d = 7

The next maximum of the oscillation occurs when the argument of the sine function is π/2.

b·t = π/2

b = π/(2t) = π/(2·0.5) = π

At that maximum, the length is 12, so we have ...

L(0.5) = a·sin(0.5π) +7 = 12

a = 5

The function L(t) is ...

L(t) = 5·sin(πt) +7

6 0

3 years ago

I don’t know how to do it

Alenkinab [10]

Answer:

u take 12 x 10=120+12=132 so the

answer is 132

4 0

3 years ago