PLZZZ HELPP OR IM FAILLING

A local club is arranging a charter flight to Hawaii. The cost of the trip is $586 each for 80 passengers, with a refund of $

professor190 [17]

Answer:

a) The number of passengers that will maximize the revenue received from the flight is 99.

b) The maximum revenue is $48,609.

Step-by-step explanation:

We have to analyse two cases to build a piecewise function.

If there are 80 or less passengers, we have that:

The cost of the trip is $586 for each passenger. So

$R(n) = 586n$

If there are more than 80 passengers.

There is a refund of $5 per passenger for each passenger in excess of 80. So the cost for each passenger is

$R(n) = (586 - 5(n-80))n = -5n^{2} +400n + 586n = -5n^{2} + 986n$ .

So we have the following piecewise function:

$R(n) = \left \{ {{586n}, n\leq 80 \atop {-5n^{2} + 986n}, n > 80} \right$

The maxium value of a quadratic function in the format of $y(n) = an^{2} + bn + c$ happens at:

$n_{v} = -\frac{b}{2a}$

The maximum value is:

$y(n_{v})$

So:

(a) Find the number of passengers that will maximize the revenue received from the flight.

We have to see if $n_{v}$ is higher than 80.

We have that, for $n > 80$ , $R(n) = -5n^{2} + 986n$ , so $a = -5, b = 986$

The number of passengers that will maximize the revenue received from the flight is:

$n_{v} = -\frac{b}{2a} = -\frac{986}{2(-5)} = 98.6$

Rounding up, the number of passengers that will maximize the revenue received from the flight is 99.

(b) Find the maximum revenue.

This is $R(99)$ .

$R(n) = -5n^{2} + 986n$

$R(99) = -5*(99)^{2} + 986*(99) = 48609$

The maximum revenue is $48,609.

8 0

3 years ago

The base of a triangle is 2 more than twice the height of the triangle. Find the measure of the base and the height if the area

vekshin1

B = 2 + 2H
A = 20 ft^2
H = H

Since the Area of a Triangle is Base * Height then the formula should be:
A = BH
20 = H(2+2H)
20 = 2H^2 + 2H
0 = 2H^2 + 2H - 20

Find the zeros of the quadratic equation through substituting the values of a,b, and c. You will get the zeros of x = 2.7 and -3.7. The only thing that would make sense is you use the x=2.7 because there are no negative heights.

Since b = 2h+2
b= 2(2.7) + 2
b= 5.4 + 2
b=7.4

I don't know where you got 4 and 10, but what I got is different.

8 0

3 years ago

F.<br> x4 + 2x3 +6x² + 4x+8 by x2 +2.

Anna71 [15]

Answer:

explain correctly please

5 0

4 years ago

How to convert each mixed number into a improper fraction?

3241004551 [841]

Follow these 3 steps to convert mixed numbers to improper fractions:

Multiply the whole number by the denominator

Add the answer from Step 1 to the numerator

Write answer from Step 2 over the denominator

l

7 0

2 years ago

PLEASEEEEE HELP ME PLEASE WILL MAR AS BRANLIEST!!!!!!!!!!

mylen [45]

That is right. Angle 2 to side 2 to angle 1 for both of them.The second triangle is just the first upside down.

3 0

3 years ago