Answer:
a)
product A = 12O units
Product B = 220 units
product C = 280 units
b) $9000 = max/largest profit
c) No resource left
Step-by-step explanation:
Available hours
Dept. I = 1020
Dept. II = 1140
Dept. III = 960
Total available hours = 3120 hours
products produced by each department
product A Product B Product C
Dept. I 2 1 2
Dept. II 3 1 2
Dept. III 2 2 1
profits $18 $12 $15
Determine how many units of each product to be produced to attain maximum profit
let each product be represented as : x , y , z
2x + y + 2z = 1020 -------- ( department A ) --- 1
3x + y + 2z = 1140 -------- ( department B ) --- 2
2x + 2y + z = 960 --------- ( department c ) ---- 3
max profit : 18 x + 12y + 15 y
solving equation 1 from 2
x = 120
solve equation 2 from 3 simultaneously
x - y + z = 180
-y + z = 60
solve equation 1 and 3
-y + z = 60
∴ z = 60 + y
back to equation 1
2( 120 ) + y + 2( 60 + y ) = 1020
240 + y + 120 + 2y = 1020
∴ y = (1020 - 360 )/ 3 = 220
therefore ; z = 60 + 220 = 280
amount of each product to be produced to gain maximum profit
product A = 12O units
Product B = 220 units
product C = 280 units
ii) The largest profit
18 ( 120 ) + 12(220) + 15 ( 280 ) = $9000
470 patrons showed up at the opening of a new movie. 20 patrons were turned away as the cinema with 18 rows of seats was filled to capacity. What was the average number of patrons in each row? Then management then arranges the seating area for the same capacity but in 15 rows instead. How many patrons will one row hold?
9514 1404 393
Answer:
25 seats per row in 18 rows30 seats per row in 15 rowsStep-by-step explanation:
The total number of seats is 470 -20 = 450.
The number of seats in a row is found by dividing seats by rows.
In 18 rows
450 seats/(18 rows) = 25 seats/row
In 15 rows
450 seats/(15 rows) = 30 seats/row
Answer:
Required Answer :-The total number of seats in the movie = 470 - 20 = 450
When 18 rows
450/18
25 patron
When 15 rows
450/15
30 patron
[tex] \\ \\ [/tex]
If AB = 10 and AC=7 , find m B. Round to the nearest tenth of a degree.
I got 9.379
bru-h it's making me type more
1 If it takes 48 hour to leak 8 liter water how many hour does it take to leak 15 liter water ? Show your steps .
2.If 7 kg potato is 140 $ how much kg can 340 $ buy ? Show your steps.
3.What is ratio.
Answer:
answer is 90 hr for question 1
Step-by-step explanation
48 hr 8 liter
? 15 liter
so what ur going to do is u criss-cross when u do u multipy 48 with 15 and 8 with "?" when u multiply 48 with 15 u get 720 and when you multiply 8 with "?" u get 8?
so it will look like this
720= 8?
let make "?" an "x" for a better understanding. so the reason we are making it an "x" is because we dont know the amount of hr it takes for 15 liters of water to leak.
let go back to the calculation.
so it will look something like this
720 = 8x
exactly the same thing but we made "?" an"x"
so now we divide both sides with 8. why? because we need "x" alone and want 8 to disappear
so when u divide both sides with 8 it will look something like this
780/8 =x
so when u divide 780 with 8 u get 90. so what does that mean? it means it takes 90 hr for 15 liters of water to leak.
do you understand?
Pregunta 6
Compound X is made up of two parts A and one part B. The mass of compound X is 45, and A has twice the mass of B. Which two equations would you solve to find the individual masses of A and B?
Answer:
[tex]A = 2B[/tex]
[tex]A + B = 25[/tex]
Step-by-step explanation:
Given
The first statement implies that:
[tex]X = A + B[/tex] i.e the components of X
Reading further, we have:
[tex]X = 45[/tex] ---- The mass of X
[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]
Required
Two equations to represent the scenario
The two equations are:
[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]
[tex]X = A + B[/tex] i.e the components of X
Substitute 25 for X in the second equation
[tex]25 = A + B[/tex]
[tex]A + B = 25[/tex]
So, the equations are:
[tex]A = 2B[/tex]
[tex]A + B = 25[/tex]
Hurry I need help
The bill for Jacoby's
breakfast at a Nashville restaurant is $9. He wants to leave a 20% tip. How much should the tip
be?
Answer:
Step-by-step explanation:
9x0.2= 1.80
the tip is 1.80
hope that helped!<3
Answer:
He should leave a $1.80 tip because 20% of nine is 1.8
The height of a triangle is 7 inches greater than the base. The area of the triangle is 225 square inches. Find the length of the base and the height of the triangle.
Answer:
Height is 25in
Base is 18in
Step-by-step explanation:
225=[x*(x+7)]/2=[x^2+7x]/2
450=x^2+7x
x^2+7x-450=0
(x+25)(x-18)=0
A local cable TV/Internet/phone provider charges new customers $129 for all three services, per month, for the first year under their "3 for 129" promotion. Joanne normally
pays $74 for her monthly home phone service, $59 for Internet service, and $69 for cable television
a. What are her percent savings if she switches to the "3 for 1299 plan? Round to the nearest percent.
b. If, after the first year, the flat fee for all three services is $139, what are her percent savings? Round to the nearest percent.
Answer:
Step-by-step explanation:
Amount paid by Joanne before promotion = 74 + 59 + 69 = $ 202
a) Amount saved if she switches to "3 for 129 plan" = 202 - 129 = $ 73
Percentage of saving = [tex]\frac{73}{202}*100[/tex] = 36.13 = 36%
b) Amount saved after the first year = 202 - 139 = $ 63
Percentage of saving = [tex]\frac{63}{202}*100[/tex] = 31.18 = 31%
The bell on the clock tower rings every 15 minutes. If the bell has rung 24 times, how many minutes have passed?
Amber chose A. How did she get that answer?
The new floor in the school cafeteria is
going to be constructed of square tiles that
are either gray or white and in the pattern
that appears below. What is the ratio of
Answer:
Step-by-step explanation:
18 tiles and 10 shaded in
At what age can you start withdrawing money from retirement accounts? What’s the penalty for withdrawing money early from retirement accounts? Type the correct answer in each box. Use numerals instead of words. Use / for a fraction bar.
The penalty-free withdrawals from retirement accounts after age 59 ½ requires withdrawals after age 72 and 10% penalty on the amount that you withdraw before the age 59 ½.
We need to find at what age can you start withdrawing money from retirement accounts.
We need to find what’s the penalty for withdrawing money early from retirement accounts.
You can withdraw money from your 401k before age 59 ½. However, early withdrawals often come with hefty penalties and tax consequences.
If you find yourself needing to tap into your retirement funds early, here are rules to be aware of and options to consider.
What are 401k Withdrawal Rules?The IRS allows penalty-free withdrawals from retirement accounts after age 59 ½ and requires withdrawals after age 72. There are some exceptions to these rules for 401k plans and other qualified plans.
Generally, if you take a distribution from an IRA or 401k before age 59 ½, you will likely owe:
federal income tax (taxed at your marginal tax rate)10% penalty on the amount that you withdrawrelevant state income taxTherefore, the penalty-free withdrawals from retirement accounts after age 59 ½ requires withdrawals after age 72 and 10% penalty on the amount that you withdraw before the age 59 ½.
To learn more about retirement accounts visit:
https://brainly.com/question/13678399.
#SPJ1
find area and perimeter
Answer: The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation:
Solve the following equation. Express your answer as an integer, simplified fraction, or decimal rounded to two decimal places.
−7=−4w−19
7000×3
help me plssßsssssssssssssssss
Answer: 21000
its 21000 hope this helps have a good rest of day/night :D <3
Step-by-step explanation:
Which function would model: "The population of stink bugs decreases by 50 every
month
Answer:
there is no attachment to look at
Step-by-step explanation:
In triangle ABC, the measure of angle B is 50 degrees.
Give possible values for the measures of angles A and C if ABC is an acute triangle.
Atlanta's population is two million, eight hundred thirty-three thousand, five hundred
eleven. Write this number in standard form (using numbers).
??
Answer:
2,833,500
Step-by-step explanation:
Which equation can be used to find the value of X?
A OR B
Ik the answer is 6x-6 but HOW DO YOU KNOW IF IS 180 OR 360?
FOR BRAINLIST!!!
Answer:
d
Step-by-step explanation:
Just put it equal to 180.
2x+5+4x-11+90=180
6x+84=180
Find the value of x in the triangle shown below.
a.164
b.2
c.6
d.80
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]
by using Pythagoras law:
h²=p²+b²
10²=z²+8²
z²=100-64
z=√36=6
z=6 units.
1
An expression is shown below.
75-33 • 17 - 10
What value is equivalent to this expression?
A 156
B.
48
C 144
D-6
In 2015, the population of the United States was about 320 million people. About 7 out of 10 Americans live in urban areas. How many Americans live in or near large cities? 224 million 32 million 96 million 10 million
plz I need help fast
(12+9i)+(10+25i)
Simplify?
Answer:
22+34i
Step-by-step explanation:
Brainliest?
Answer:
22+34i
Step-by-step explanation:
(12+9i)+(10+25i)
12+9i+10+25i
12+10+9i+25i
22+34i
2-An 83cm piece is cut from a length of ribbon measuring 1.3 metres. What length is left?
Answer:
81.7cm is the length left behind
Step-by-step explanation:
83 -1.3 =81.7
Find the surface area of the prism , need help and steps fast please!!
Answer:
190cm squared
Step-by-step explanation:
The surface area formula and a surface area calculator both gave this answer. Hope you do good on your assignment.
I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
[tex]\angle A = 10[/tex]
[tex]\angle B = 145[/tex]
Required
Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]
The question is incomplete as the other triangles to make comparison from, are not given.
However, general information that could help you are as follows.
The given parameters show that we have to consider AA criterion for selecting similar triangles.
So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.
Take for instance.
[tex]\triangle DE\ F[/tex]
Where
[tex]\angle D = 10[/tex]
[tex]\angle E = 145[/tex]
See that:
[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]
[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]
This means that:
[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA
Answer:
The answer is the 10 degrees on and 25 degreees
Step-by-step explanation:
AP EX
Please answer
On the last page of her spiral
she found a note that tells
her to multiply the number
of
pages she has filled by 17.
The note also tells her to
take her answer to the
school office
to pick up a prize if the
answer is correct. What is
the correct answer?
A 2,432
B 1,240
C 2,346
D 2,436
Answer:
the correct answer is 2,432
Points R, S, T, and U lie on circle O.
R
S
o
U
© 2016 StrongMind Created using GeoGebra.
In circle 0. ZROSTOU, RS = 12x + 4 and TU=112 + 15.
What is the length of TU?
Answer:
136
Step-by-step explanation:
12x + 4 = 11x + 15 {Subtract 11x from both sides.}
(12x - 11x) + 4 = 15
x + 4 = 15 {Subtract 4 from both sides.}
x = 15 - 4
x = 11
Now, SUBSTITUTE 11 for x in 11x + 15.
11(11) + 15
121 + 15
136 units
The length of line TU is 136 units.
4x + y=22
y=x-3
Need fast help plz
Answer:
x=5
Step-by-step explanation:
4x+(x-3)=22
5x-3=22
+3 +3
5x=25
/5 /5
x=5
Please help very urgent
Answer:
(a)
[tex]T_n = 3(-4)^{n-1}[/tex]
(b)
[tex]\sum\limits^n_1 { 3(-4)^{n-1}[/tex]
Step-by-step explanation:
Given
The above sequence
Solving (a): The explicit formula
The given sequence is a geometric sequence because the common ratio (r) is:
[tex]r = \frac{-12}{3} = \frac{48}{-12} = \frac{-192}{48} = \frac{768}{-192}[/tex]
[tex]r = -4[/tex]
The explicit formula is calculated using the n term of an GP.
[tex]T_n = ar^{n-1}[/tex]
[tex]T_n = 3 * (-4)^{n-1}[/tex]
[tex]T_n = 3(-4)^{n-1}[/tex]
Solving (b): Summation notation.
This implies that the sum of the sequence.
To do this, we write Tn inside the summation sign
i.e.
[tex]\sum\limits^n_1 {T_n}[/tex]
Substitute values for Tn
[tex]\sum\limits^n_1 { 3(-4)^{n-1}[/tex]
What is the value of the digit 4 in 149,832?
Answer:
40,000
Step-by-step explanation:
Answer:
It would be 40,000
Explanation:
It is in the ten thousands digit.
express 350 as a product of prime factors.
step by step explanation
Answer:
not a prime factor
Step-by-step explanation: