Island Water Sports provides rental equipment and instruction for a variety of water sports in a resort town. On one morning, a decision must be made on how many Wildlife Raft Trips and how many Group Sailing Lessons should be scheduled. Each Wildlife Raft Trip requires one captain and one crew person and can accommodate six passengers. The revenue per raft trip is $120. Ten rafts are available, and at least 30 people are on the list for reservations this morning. Each Group Sailing Lesson requires one captain and two crew people for instruction. Two boats are needed for each group. Four students form each group. There are 12 sailboats available, and at least 20 people are on the list for sailing instruction this morning. The revenue per group sailing lesson is $160. The company has 12 captains and 18 crew available this morning. The company would like to maximize the number of customers served while generating at least $1800 in revenue and honoring all reservations. Define the decision variables as follows and formulate the problem as a linear program. Let x be the number of Wildlife raft Trips to be scheduled. Let y be the number of Group Sailing Lessons to be scheduled.
The following constraints complete the problem:
120x + 160y ≥ 1800 (1)
x ≤ 10 (2)
2y ≤ 12 (3)
6x ≥ 30 (4)
4y ≥ 20 (5)
x + y ≤ 12 (6)
x + 2y ≤ 18 (7)
1) What does constraint (1) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
2) What does constraint (4) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
3) What does constraint (6) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
Answer:
1) C
2) F
3) A
Step-by-step explanation:
Given that : X = number of Wildlife raft Trips to be scheduled.
while Y = number of Group Sailing Lessons to be scheduled.
1) Constraint (1) : 120x + 160y ≥ 1800
Represents the Minimum revenue requirement
2) Constraint (4) : 6x ≥ 30
Represents The demand of raft trips that must be satisfied.
3) Constraint (6) : x + y ≤ 12
Represents The maximum number of captions who can be deployed.
Find A and C,Laws of sines and cosines
Answer:
[tex]AC=15.9976[/tex]
Step-by-step explanation:
Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
Step 1: Define
a = 8 ft
A = 30°
b = ?
B = 89°
Step 2: Substitute and Evaluate
[tex]\frac{sin(30)}{8} =\frac{sin(89)}{b}[/tex]
[tex]bsin(30)=8sin(89)[/tex]
[tex]b=\frac{8sin(89)}{sin(30)}[/tex]
[tex]b=16cos(1)[/tex]
[tex]b=15.9976[/tex]
[tex]AC=15.9976[/tex]
what is 16+48 in distributive property??
Answer:
un-distribute the GCF of the two numbers.
16(1 + 3)
Distributing we get:
16(1) + 16(3)
16 + 48
Step-by-step explanation:
:)
Julie had $150. She needed to spend $3.00 for lunch every day. How much money will she have left after 20 days? Please help it's hard
Answer:
$90 left after 20 days
Step-by-step explanation:
She starts out with 150, right?
She spends $3 each day x 20 days = 60
150 - 60 = 90
Hope this helps! :')
Answer:
multiply 3.00 times 20 and you'll get 60.00 subtract that from 150 and your answer is 90.00 dollars
The length of a table is 110 cm to the nearest cm
Write down the error interval using inequalities.
10 points for right answer
Answer: they didn’t give the exact answer.
Step-by-step explanation: they rounded to the nearest.
Use the Pythagorean Theory and the following information to determine the length of the third side of a right triangle which has a hypotenuse of 30 and leg “a” equal 18
Find the equation of the line in slope-intercept form. f Slope is 2/3 through (3, 4)
Answer:
y=2/3x+2
Step-by-step explanation:
PLEASE HELP
What is (-i)^5
Answer:
-i
Step-by-step explanation:
hope this helps my fellow friend.
Answer:
D) i
Step-by-step explanation:
I need help with this and can you explain how to do it?
3(2y + 3) + y
Answer:
7y + 9
Step-by-step explanation:
Given expression:
3(2y + 3) + y;
To solve this problem, apply PEMDAS;
P = parentheses
E = exponent
M = multiplication
D = division
A = addition
S = subtraction
3(2y + 3) + y;
Start solving from the parentheses by applying the distributive property;
6y + 9 + y
= 7y + 9
answer this for 40 points :D
Answer:
I wish I knew . I have a question for you. wait nah... Thanks for the points my mate ... sorry about it . I need points .
Step-by-step explanation:
friend me if you want :)
Answer:
this is not 40 points its 20 ?
Step-by-step explanation:
Please help me answer the question in the photo! Will give brainlist :)
Answer:
the answer is B because it make a 90* angle
Neeed help like NEOW
Answer:
_17 or -10 i think its -10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ha
While attending a baseball game, Eva buys hamburgers and hotdogs for her family. The number of hot dogs bought is five more than the number of hamburgers bought. Hamburgers cost $6.25 each and hot dogs cost $3.75 each. Eva spent a total of $58.75 on the hamburgers and hot dogs.
Answer:
2.35 hamburgers
Step-by-step explanation:
H6.25 + H18.75 = 58.75
Find the distance from G(-3, -1) to the line whose equation is y = 4
The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5
How to find the Distance of a Line?
We are given the coordinate of point G as G(-3, -1).
We want to find the distance between that coordinate and the line y = 4.
Comparing the line with the equation Ax + By + C = 0 gives;
B = 1 and C = -4
Now, Equation for distance between line and coordinate axes points is;
d = |Ax + By + C|/√(A² + B²)
Thus;
d = |0(-3) + 1(-1) - 4|/√(0² + 1²)
d = |-5|
Since absolute value, then d = 5.
Read more about Distance of a Line at; https://brainly.com/question/7243416
#SPJ1
-5(2x+9)? simplify the expressions by disturbing the negatives and combining like terms
Answer:
-10x-45
Step-by-step explanation:
Marking Braniest!!! What is 100÷4÷4÷4
Answer:
1.5625
Step-by-step explanation:
100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625
Answer:
1.5625
This is what I think is the answer
If 5/9 of a tank can be filled in 2minutes , how many minutes will it take to fill the whole tank?
Answer:
4 1/2 minutes
Step-by-step explanation:
.
Sammie bought just enough fencing to border either a rectangular plot or a square plot,
shown. The perimeters of the plots are the same. How many feet of fencing did she buy?
(3x + 6) feet.
———————
| |
| | (x - 1) feet
|__________|
(x + 6) feet
___________
| |
| |
| | (x + 6) feet
| |
|__________ |
Sammie bought____feet of fencing.
Answer:
3.5 feet
Step-by-step explanation:
The question isn't formatted properly.
We have:
(x + 6) feet on each side of the square
(3x + 6) feet horizontally on the rectangle
(x - 1) feet vertically on the rectangular
First, we need to determine the perimeter of the square:
[tex]Perimeter = 4 * Length[/tex]
[tex]Perimeter = 4 * (x + 6)[/tex]
[tex]Perimeter = 4x + 24[/tex]
Next, we determine the perimeter of the rectangle
[tex]Perimeter = 2(Length + Width)[/tex]
[tex]Perimeter = 2(3x + 6 + x - 1)[/tex]
[tex]Perimeter = 2(3x + x+ 6 - 1)[/tex]
[tex]Perimeter = 2(4x+ 5)[/tex]
[tex]Perimeter = 8x+ 10[/tex]
Equate both perimeters:
[tex]8x + 10 = 4x + 24[/tex]
Collect Like Terms
[tex]8x - 4x = 24 - 10[/tex]
[tex]4x = 14[/tex]
Solve for x
[tex]x = 14/4[/tex]
[tex]x = 3.5[/tex]
Which symbol makes -121. That make -21 a true statement
Answer:
<
Step-by-step explanation:
To solve this correctly you need to remember how to compare integers.
1) Suppose you buy a laptop costing $1850 at a store charging 12% add-on interest, and you make a $500 down payment.
Find the exact value using trigonometric identities.
1850 , 0.12 , − o n , 500 a
Given 36 − 9, simplify the expression using the Difference of Squares.
Wait, wait. I know what you are saying. 36 − 9 is not exactly a difficult math problem, it is 27. Yes you are correct; however, 36 − 9 is going to serve as a proof that the Difference of Squares is valid regardless of what x and y are.
36 − 9
62 − 32
This looks exactly like the Difference of Squares, x2 − y2. So substitute 6 and 3 in for x and y.
Answer:
See below
Step-by-step explanation:
Using formula
x^2 - y^2 = (x + y)(x - y)Applying to given expression
36 - 9 = 6^2 - 3^2=(6 + 3)(6 - 3)=9*3=273. An almirah is sold at 5,225 after allowing a discount of 5%. Find its marked price.
Answer:
4,963.85
Step-by-step explanation:
14. Three years ago, Kyaw Kyaw was thrice as old as his
sister Zin Zin. After three years
Kyaw Kyaw will be twice as old as Zin Zin. What is the present age of Zin Zin?
Answer: Just a question what was the present age of Zin Zin three years ago will really help?? Thank You
Step-by-step explanation:
Find the surface area of a right cone with a diameter of 6 inches and a slant height of 5 inches.
Answer:
about 172.82
Step-by-step explanation:
Answer:
83.23
Step-by-step explanation:
to work out surface area of a right cone u
A=πr(r+h2+r2)
hope this helps
im not sure if its right tho
Help APSPP!!!!!!!!!!
Answer:
c is the answer young flyyy
Step-by-step explanation:
Answer:
hhaaaaaaaaaaaahhhhhhhhaaaaaaaaaaaaaaas
Step-by-step explanation:
find the slope (5,4) (5,9)
Answer:
undefined
Step-by-step explanation:
To find the slope between two points, we can use the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (5, 4) and (5, 9) for (x₁, y₁) and (x₂, y₂) respectively, we get:
[tex]m=\frac{9-4}{5-5}=\frac{5}{0}[/tex]
Note, we cannot divide by zero. By using the slope formula, we get that the slope is undefined.
I hope this helps. Happy studying.
Write a math expression for total number of sticks in one pack of red sticks and one pack of blue sticks. There’s 8 red in a pack and 12 blue in a pack.
Answer:
8:12
Step-by-step explanation:
It's a ratio!
How many red is there? 8!
How many blue is there? 12!
So red to blue is 8:12!
Answer: The total number of sticks in one pack of red and one pack of blue is (8 + 12).
Step-by-step explanation: it is the answer edmentum gave me
Find the perimeter of the figure.
7 mi
7 mi
Answer:
28mi
Step-by-step explanation:
The shape given is a square because all the internal angles are the same. Also, all the sides are equal;
The perimeter of a square is given as;
= 4L
Where L is the dimension of the sides
L in this problem is 7mi
Input the parameter and solve;
Perimeter = 4 x 7 = 28mi
Look at this as a fraction and break it down.
Simplify as much as possible:
-70
-28
Answer:
espera y termino y te ayudo vale que me falta poco vale
If two lines meet and form right angles, then
Answer:
Perpendicular
Step-by-step explanation:
If two lines meet and form right angles, then they are perpendicular.