Hence,the company should produce 12 pieces of Model A and 6 pieces of Model B to get the maximum profit i.e. 168000.
How many of each should be made to maximize profit?Let x be the number of pieces of model A and y be the number of pieces of model B.
Let total profit be Z
Then, Total profit =8000x+12000y
Z=8000x+12000y .............. (i)
Now we have the following mathematical model for the given problem
Max Z=8000x+12000y
Subject to constraints
9x+12y≤180 .......... (Fabricating constraints)
3x+4y≤60 .......... (ii)
x+3y≤30 (Finishing constraints)........ (iii)
Let us evaluate the objective function Z at each point as shown below
At C(0,10), Z=8000×0+12000×10=120000
Maximum value of Z is 168000 at B(12,6)
Hence, the company should produce 12 pieces of Model A and 6 pieces of Model B to get the maximum profit i.e. 168000.
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A company rents out 17 food booths and 24 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The fee for a game booth is $80 plus $9 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Given that 15 food booths were rented out for ‘d’ days at $100 plus $5 per day. On the food booths only, the company will earn 15($100+$5d) = $1500 + $75d Given that 20 game booths were rented out for ‘d’ days at $50 plus $7 per day. On the game booths only, the company will earn 20($50 + $7d) = $1000 + $140d
The total amount that the company is paid is therefore, $1500 + $75d + $1000 + $140d = $2500 + $215d
What angles are congruent and opposite each other when lines intersect
Answer:
Vertical angles.
Step-by-step explanation:
Choose one
Help me please
Answer:
A
Step-by-step explanation:
Smallest to Largest
Natural numbers
Whole numbers
Integers
Rational numbers
HELP ASAP!! A recipe calls for 2.3 cup of milk. if you make 3 1/2 times the recipe, how much milk do you need?
Solve the quadratic equation
3x²-5x-7=0
Answer:
Step-by-step explanation:
The coefficients of this quadratic equation are {3, -5, -7}. The discriminant (part of the quadratic formula) is b^2 - 4ac, which here is 25 - 4(3)(-7), or 109.
This positive discriminant indicates that there are two real, unequal roots.
They are:
5 ± √109
x = ------------------
6
In August, Emily's Clothing Store sold 98 long sleeve shirts with the ratio of short sleeve to long sleeve being 3:7. How many short sleeves were sold?
Answer:
the number of short sleeves sold is 42
Step-by-step explanation:
The computation of the number of short sleeves sold is shown below:
Given that
The clothing store sold 98 long sleeve shirts
And, the ratio of short sleeve to long sleeve is 3:7
So, the number of short sleeves sold is
= 98 × 3 ÷ 7
= 42
Hence, the number of short sleeves sold is 42
Which equation describes the table shown:
Plzzzzzz i need help
Answer:
y=1x+2
Step-by-step explanation:
so 1x when x equals 2 1 x 2 =2+2 +=4
Fred finishes one assignment in 3 hours. Assuming he works at a constant pace over several hours, write an equation that depicts the relationship between time in hours h and number of assignments finished f.
The equation that depicts the relationship between time in hours h and number of assignments finished f is f = 3h
How to write an equation?He finishes one assignment in 3 hours.
He does the assignment at a constant rate over several hours.
Therefore, the equation that depicts the relationship between time in hours h and number of assignments finished f is as follows:
where
h = time in hoursf = number of assignmentHence, the equation is :
f = 3h
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The angles listed from largest to smallest are __________________
I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!
Answer:
B, A, C
Step-by-step explanation:
That's a 30-60-90 triangle.
What is the surface area of the cone? (Use 3.14 for π.)
339.12 cm ^2
715.92 cm ^2
307.72 cm ^2
417.62 cm ^2
Answer:
tambil anseeciot
Step-by-step explanation:
someone pls just comment something
Answer:
Eleventeen
Step-by-step explanation:
Answer:
THIRTEEN
Step-by-step explanation:
What Dose 2+2 =
I've been stuck on this question for 7 years
/\ (Not Really to all the ❄)
Answer:
4
Step-by-step explanation:
took the test and got it right!
Help me please. Stuck on y is [] times x.
Answer:
1 2/3
hope this helps :)
Step-by-step explanation:
Answer:
y=0.6x
Step-by-step explanation:
y=kx
k=y/x
k=9/15=18/30=27/45=36/60=0.6
please helpppppppppppppppp
Answer:is (4x-5)
Step-by-step explanation:
Answer: check your next period class
Step-by-step explanation:
your teacher is looking for you
What is the angle measurement of angle DBC?
Help please
The area of a circle is 121π cm squared. What is the circumference in terms of π?
Answer:
38 cm cubic
Step-by-step explanation:
C = 2√πA
C = 2√3,14 x 121
C = 2√379,94
C = 2 x 19,49204966133629
C = 38,98409932267258 = 38 cm cubic
hope this help !
(don't forgot to make this the best answer)
What is the range of ordered pairs represented on the graph?
Answer:
Step-by-step explanation:
1st. (4,6)
2nd. (-6,-2)
3rd. (8,4)
4th. (-4,-10)
A six-sided fair mmber cube is rolled once. What is the probability that the result is a 2 or a 5?
Write answer as fraction in its simplest form.
Answer:
1/3
Step-by-step explanation:
this is because you have six sides and two options to get and then 2/6 is 1/3
Find the median of the data. 12,33,18,28,29,12,17,4,2
Step-by-step explanation:
Answer:17
Step-by-step explanation: you’re welcome
Given P(A) = 0.44, P(B) 0.6 and P(An B) = 0.394, find the value of
P(AUB), rounding to the nearest thousandth, if necessary.
Given:
[tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex].
To find:
The value of [tex]P(A\cup B)[/tex], rounding to the nearest thousandth.
Solution:
We know that,
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
On substituting [tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex], we get
[tex]P(A\cup B)=0.44+0.6-0.394[/tex]
[tex]P(A\cup B)=0.646[/tex]
Therefore, the value of [tex]P(A\cup B)[/tex] is 0.646.
What is the standard form of (6,-3),(-2,-3)
Answer:
2x - 3y = 21
There are 439 TV high school students. 87 are absent today. What percent of
students are absent? Round to the nearest whole percent. *
Answer:
23
Step-by-step explanation:
There are approximately 20% students are absent.
What is a Percentage?A Percentage is a number or ratio expressed as a fraction of 100.
Given that there, 439 students and 87 are absent
Percentage = 87/439 * 100 % = 19.81 ≈ 20%
Hence, there are approximately 20% students are absent.
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1. In a four-hour TV program, the commercials show 10% of the time.
How many minutes of commercials are shown during the four-hour
duration of the program?Round to the nearest tenth of a minute
Answer:
1
Step-by-step explanation:
I have devided10/100 I hope you can understand from the picture posted there
Math question 10 points!!!
A man who is X years old now has a son aged 5 years. In 7 years the father will be 4 times as old as his son will be then . How old is the father now
Answer:
48
Step-by-step explanation:
Answer:
41yrs old
Step-by-step explanation:
now. 7yrs later
F. S. F. S.
x 5. x+7. 5+7
F=(5+7)4
(5+7)4=x+7
20+28=x+7
48=x+7
x=48-7
x=41
so the father is 41yrs old
people i have 3528 last time i asked a summary of a scary movie now do a summary of godzilla 2 king of the monsters
Step-by-step explanation: Go.dzilla 2 king of monsters is one of the best movies out there in my opinion, right down to the CGI, the movie makers did a fantastic job of creating an emotional attachment to the family in the movie.
Basically in the movie it starts in a nuclear power plant, the power plant has a melt down, kil.ling the team that went into the core to see what the issue was, the director of the power plants wife died and he knew that it wasn.t normal for the plant to meltdown the way it did, so he dedicates the rest of his life to trying to figure out what really happened there. He even goes as far as to sneak in to the restricted area with his son, when there they find out that they are digging up something from the wreckage, this is the giant moth (it wont let me say the name), The giant moth was feeding on the nuclear radiation and that was what caused the plant to melt down all those years ago. the giant moth then flies across the country searching for nuclear radiation and in turn waking her mate and destroying the place, this awakens Go.dzilla so that he can reassert himself as the ap.ex predator. He finds both the giant moths and kil.ls them and then returns to the bottom of the ocean.
Meredith is playing games at the arcade to earn tickets that she can exchange for a prize. She has 278 tickets from a previous visit, and she earns 5 each game she plays. If Meredith needs 388 tickets to exchange for the prize, how many games does Meredith need to play?
help please . thank you
Adding and subtracting integers not a lot!!
Answer:
??
Step-by-step explanation:
Please help meee pleaseee
12
Answer:
A. 4
Step-by-step explanation:
the answer is 4
i agree with the person above