Answer:
The maximum AR is AR60 final answer
Answer: Its AR 60.... I'm only AR 49
An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
The relationship between airplane 1 and airplane 2 is an illustration of objective function
14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost
How to determine the number of each type of airplane?Represent P1 and P2 with x and y, respectively.
From the question, we ave have the following parameters:
x y Minimum
First class 20 18 400
Tourist 50 30 900
Economy 110 44 1500
Cost 10000 85000
So, the objective cost function to minimize would be:
C = 10000x + 8500y
And the constraints are:
20x + 18y ≥ 400
50x + 30y ≥ 900
110x + 44y ≥ 1500
x, y ≥ 0
Next, we plot the graphs of the constraints
From the graph (see attachment), we have the following feasible solutions
(x,y) = {(4.9,21.8), (8.5,12.7), (14,6.7)}
Substitute these values in the objective function.
C(5,22) = 10000 * 5 + 8500 * 22 = 237000
C(9,13) = 10000 * 9 + 8500 * 13 = 200500
C(14,7) = 10000 * 14 + 8500 * 7 = 199500
The minimum value is:
C(14,7) = 199500
Hence, 14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost
Read more about objective function at:
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Joy has ₱500.00 to spend for food. She spent ₱98.75 on Monday, ₱73.75 on Tuesday and ₱50.25 on Wednesday. How much money was left? with solution pls
Answer:
₱277.25
Step-by-step explanation:
₱500.00 - ₱98.75 - ₱73.75 - ₱50.25 = ₱277.25
pls answer this .............
Answer:
Do the same thing for the other exercises and you should find the results. They are all complimentary angles, that means if you sum the two equations representing the angles of each exercise they will be equal to 180º always
Step-by-step explanation:
3. notice 2x is complimentary of 2x + 80 because 2x is opposed to that blank space that compliments it.... I'm bad at explaining, I'll just show.
2x + 2x + 80 = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 25º
so then:
2x = 2*25
2x = 50º
and:
2x + 80 = 50 + 80
2x + 80 = 130º
When a divisor divides the dividend exactly without leaving remainder then the divisor and quotient are
pls answer
Answer:
The divisor is called a factor of the dividend.
Step-by-step explanation:
Hope this helps
(Brainliest is appreciated)
Answer:
If a divisor divides the dividend exactly and leaves no remainder, this divisor is also called a factor of that dividend. Therefore, all factors of a number are divisors, but not always all factors have to be factors of a number The factors of 8 are for example 1, 2, 4 and 8, because 8 can be divided exactly by 1, 2, 4, 8.
Step-by-step explanation:
Hope this helps :)
The ratio of cats to dogs is 2:3. Five more cats enter the room, and then the ratio is 9:11. How many cats and dogs were in the room to begin with?
Answer:
"The ratio of the number of cats to dogs is 3:5. How many dogs would there be if there were 12 cats?"
Reworded, this says that "for every 3 cats there are 5 dogs." Or else you could say, "for every 5 dogs there are 3 cats."
You are given the number of cats=12. For every 3 cats there are 5 dogs." That means 50 dogs.
(3 cats) / (5 dogs) = (12 cats) / (x dogs)
3 / 5 = 12 / x
3x = 5*12
3x = 60
x = 20 dogs
Or you could write:
(5 dogs) / (3 cats) = (x dogs) / (12 cats)
x = 20 dogs.
Step-by-step explanation:
An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0.To start the room contained 20 dogs.
Explain about the Ratio?
Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."
According to a revised version, "there are 5 dogs for every 3 cats." Alternatively, you may say, "There are 3 cats for every 5 dogs."
You are informed that there are 12 cats. There are 5 dogs for every 3 cats. That's fifty dogs.
3 cats divided by 5 dogs equals 12 cats (x dogs)
3 / 5 = 12 / x
3x = 5*12
3x = 60
x = 20 dogs
To learn more about Ratio refer to:
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4 2/3 + 5 3/8 = ? need answer fast!
Answer:
241gv
Step-by-step explanation:
hope it helps please mark me as brainliest
correct?////////////////
Answer:
No solution
One solution
Many solutions
One solution
Step-by-step explanation:
Let's use y = mx + b
m = coefficient (or slope)
b = constant ( or y-intercept)
If they have different y-intercepts but they're both rising the same amount there would be no solution because they would never cross
If the slope was different but the same y-intercept they would cross on the y-axis, making them have one solution
Equal coefficients and constants is correct, there would be infinite solutions
Different slopes and different y-intercepts would make them cross randomly one, so one solution
Hope this helped! Comment if it does or not :)
Kaitlyn purchased a new car 39 months ago for $18791. She has been paying $197.43 per month. How much does Kaitlyn still owe for her car?
Answer:
$11091.23
Step-by-step explanation:
Reword the situation:
She purchased a car for 18791 dollars 39 months ago.
As the 39 months passed she has been paying 197.43 a month.
How much does she still owe for her car?
First find out how much she's paid so far.
For 39 months she has been paying 197.43 a month
So, so far she's payed a total of 197.43 * 39 = 7699.77 dollars
Now subtract amount she's paid so far from total price of car.
18791 - 7699.77 = 11091.23
She still owes 11091.23
Given P(E) = 0.15, what is P(E')?
Answer:
0.85
Step-by-step explanation:
P(E)+P(E')=1
SO, P(E')=1-P(E)
OR,P(E')=1-0.15
PLEASE MARK MY ANSWER AS BRAINLIEST.
= 0.85
Find –4 –5 to determine which expression is equal to –4x –4 –5.
A. (-4x) - 9
B. (-4x) - 1
C. (-4x) + 1
Answer:
A. (-4x) - 9
Step-by-step explanation:
-4-5 = -9
(-4x)-4-5
(-4x)-9
Answer:
A
Step-by-step explanation:
plzzzzzzz help at this question
Answer:
[tex]\huge\bold{\purple{\bold{⚡Ezy⚡}}} [/tex]
Step-by-step explanation:
a. y-10
b. y+20
c. (y-2)+(y+3) =2y+1
d. {5y}+{7(y-5)}= 12y-35
e. 4y
Two numbers that have a product of 1 are called what??
Hello there!
These numbers are called reciprocals.
A reciprocal is a number flopped over.
Example:
[tex]\frac{1}{7} *\frac{7}{1} =1\\\frac{1}{8} *\frac{8}{1} =1\\\frac{1}{9} *\frac{9}{1} =1[/tex]
Hope it helps!
~Just a cheerful teen
#CarryOnLearning
Good luck on your assignment and have a splendiferous day!
Answered by
[tex]-SilentNature-[/tex]
I really need help!!!!!!!!
Answer:
least to greatest- -1.25, -2/3, 2.75, 4, 9/2
Step-by-step explanation:
i still need help finding angle 1 and 2
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Using quadratic function concepts, it is found that:
a) The value of a is -2000.
b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
c) Between 140 and 160 computers need to be produced.
The profit is modeled by:
[tex]y = a(x - 100)(x - 200)[/tex]
Item a:
If 120 computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.
[tex]y = a(x - 100)(x - 200)[/tex]
[tex]3200000 = a(120 - 100)(120 - 200)[/tex]
[tex]-1600a = 3200000[/tex]
[tex]a = -\frac{3200000}{1600}[/tex]
[tex]a = -2000[/tex]
The value of a is -2000.
Item b:
We first place the quadratic function into standard form, thus:
[tex]y = -2000(x - 100)(x - 200)[/tex]
[tex]y = -2000(x^2 - 300x + 20000)[/tex]
[tex]y = -2000x^2 + 600000x - 40000000[/tex]
Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].
Then, we have to find the vertex:
[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]
[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]
The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
Item c:
We are working with a concave down parabola, hence the range is between the roots of:
[tex]y = -200x^2 + 600000x - 40000000[/tex]
[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]
[tex]-200x^2 + 600000x - 44800000 = 0[/tex]
The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].
Then:
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]
[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]
[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]
Between 140 and 160 computers need to be produced.
A similar problem is given at https://brainly.com/question/24705734
use the given conditions right in equation!!!
nine times a number is 49 more than two times that number. find the number
Answer:
the number is 7
9•7=63
2•7=14
63-49=14
Answer:
7
Step-by-step explanation:
cost of 1 almirah is=$2345
what is the cost of 12 such almirah?
Answer:
28140Step-by-step explanation:
We can applyUnitary method to solve this :-cost of 1 almirah = $ 2345
therefore,cost of 12 such almirah = 2345 x 12.
= $28140...ans
Hope it helps you!!shola earns #750 every month. if she spends 4/5 of her salary and saves the rest, how much does she save every month?
Answer:
250
Step-by-step explanation:
Amount she earns = 750
amount she spend = ⅘ of 750 = ⅘×750= 600
amount she saves = 750-600
Shola saves $150 every month.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.
Given:
Shola earns $750 every month.
She spends 4/5 of her salary.
That means,
4/5 of $750.
And 4/5 of $750 = 4/5 x 750
= 4 x 150
= 600
She spends $650 per month.
Saved amount,
= $750 - $600
= $150
Therefore, $150 is her monthly savings.
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Homework: Week 3 - Ratios...
Question 13, 1.4.39
O Points: 0 of 1
The ratio of female students to male students at a particular college is 3 to 2 If there are 3375 female students at the college, what is the total number of students at the college?
The total number of students at the college is (Simplify your answer)
Answer:
5,625
Step-by-step explanation:
divide 3375 by 3 and get 1125 now multiply that by two and get 2250. Add 3375 by 2250 to get 5625 students
100 points, Please help!
Answer:
Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points
Step-by-step explanation:
1=17
2=97
Answered:
1 = 17
2 = 97
Add.
5/6 + 2 3/4
Enter the sum in the box as a mixed number in the simplest form.
Answer:
7 1/
6
≅ 7.1666667
Step-by-step explanation:
Hope this helps :)
i think the answer is 4 7/12
Find the L.C.M of =
A) 12
B) 1/2
C) 7
D) 24
Answer:
d.
Step-by-step explanation:
24/(3/4) = 32
24/ (6/5) = 20
24/(4/15) = 90
p - (m - p); use m = 3, and p = -5
Given,
p = -5
m = 3
Substitute these values in the equation.
p - (m - p)
= (-5) - (3 - (-5))
= -5 - (3 + 5)
= -5 - 8
= -13
______
RainbowSalt2222 ☔
Danielle's text messaging plan costs $8 for the first 550 messages and 15¢ for each additional text message. If she owes $8.60 for text messaging in the month of October, how many text messages did she send that month?
Answer:
Danielle sent 554 text messages that month.
Step-by-step explanation:
In Oct she owed: $8 + 60¢
Because 15¢ = 1 additional message => 60¢ = 4 additional messages
So Danielle sent 550 messages (=$8) and 4 additional messages (= 60¢)
=> She sent: 550 messages + 4 additional messages = 554 messages
Hope this helps!
Can someone answer this
Answer:
Step-by-step explanation:
multiply by 6
4-24x+21=-54x+5
54x-24x=5-4-21
30x=-20
x=-20/30=-2/3
Please give me the right answer. Expert help only.
Answer:
25 x 40 = 1000
1210 - 1000 = 210
210 / 45 = 4.66 hours
Step-by-step explanation:
each shape stands for a different number . workout the value of each shape
Answer: Triangle = 0
Square = 2
Pentagon = 4
Step-by-step explanation:
If you replace the shapes with the numbers you should see that it works.
I used Trial and error.
What is the value of x? Enter your answer in the box. X=
Check the picture below.
Answer:
x=50
Step-by-step explanation:
1. equal the equations to each other: 2(x+10)=3x-30
2. distribute the 2 to x+10: 2x+20=3x-30
3. subtract 2x from both sides, and add 30 to both sides: x=50
Solve for t in the following equation.
10 + 4–2 = 2–2( + 4)
A. =−1 B. =−35
C. =35
Answer:
the answer would be 35...
Step-by-step explanation:
Dont know how to explain it on here
What is the key feature of simple interest?
Answer:
When you make a payment on a simple interest loan, the payment first goes toward that month's interest, and the remainder goes toward the principal. Each month's interest is paid in full so it never accrues.
Step-by-step explanation:
