Given:
Product A requires 7 board feet of wood and 4 lbs of wicker.
Product B requires 5 board feet of wood and 5 lbs of wicker.
Product C requires 4 board feet of wood and 3 lbs of wicker.
Available wood = 3000 board feet
Available wicker = 1400 lbs
Profit margin of A = $35 per unit
Profit margin of B = $42 per unit
Profit margin of C = $20 per unit
To find:
The linear programming problem for given situation.
Solution:
Let the number of units produced of products A, B and C are x, y and z respectively.
Product A Product B Product C Total
Board feet of wood 7 5 4 3000
wicker 4 5 3 1400
Objective function: Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
Board feet of wood : [tex]7x+5y+4x\leq 3000[/tex]
Wicker : [tex]4x+5y+3x\leq 1400[/tex]
Number of units cannot be negative. So, [tex]x,y,z\geq 0[/tex].
Therefore, the required LPP is
Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
[tex]7x+5y+4x\leq 3000[/tex]
[tex]4x+5y+3x\leq 1400[/tex]
[tex]x,y,z\geq 0[/tex]
f(x) = 23 – 22
g(x) = 4x + 5
Answer:
23-22=1
5 times 4=20
Step-by-step explanation:
find x (x+y) 30 24 2x
Answer:
vfvgyfygj
Step-by-step explanation:
gvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvdyu so yeah
Find the equation of a line parallel to −2x+2y=6 that contains the point (3,−5). Write the equation in slope-intercept form.
How do I work the problem the ratio of Jane age to her daughter age is 9:2 the sum of their ages is 44... how old is jane
Answer:
Jane is 4years old......
help me please i’ll give u a cookie
Answer:
the answer is B
Step-by-step explanation:
i just did this.
find the distance between points P ( 7,8 ) and Q ( 6,2 )
Answer:
6/1
Step-by-step explanation:
Morgan reads 45 pages in 60 minutes how much can she read in 1 minute
Answer:
Morgan can read [tex]\frac{3}{4}[/tex] of a page in 1 minute.
Step-by-step explanation:
If you divide 45 ÷ 60 you get 0.75 which is equal to [tex]\frac{3}{4}[/tex].
Morgan can read 0.75 pages in 1 minute.
What is division?Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.
To find out how many pages Morgan can read in 1 minute, we divide the total number of pages she read by the time it took her to read them. This gives us the average number of pages she read per minute.
In this case, Morgan read 45 pages in 60 minutes. So, we divide 45 pages by 60 minutes:
45 pages ÷ 60 minutes = 0.75 pages per minute
This means that on average, Morgan can read 0.75 pages in 1 minute.
To learn more about the division;
https://brainly.com/question/13263114
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Suppose that the weight of navel oranges is normally distributed with a mean µµ = 8 ounces, and a standard deviation σσ = 1.5 ounces. a. What percent of oranges weigh more than 11.5 ounces? b. What percent of oranges weigh less than 8.7 ounces? c. If you randomly select a navel orange, what is the probability that it weighs between
Answer:
Hello some parts of your question is missing below is the missing part
c. If you randomly select a navel orange, what is the probability that it weighs between6.2 and 7 ounces
Answer: A) 0.0099
B) 0.6796
C) 0.13956
Step-by-step explanation:
weight of Navel oranges evenly distributed
mean ( u ) = 8 ounces
std ( б )= 1.5
navel oranges = X
A ) percentage of oranges weighing more than 11.5 ounces
P( x > 11.5 ) = [tex]P ( \frac{x - u}{ std} > \frac{11.5-8}{1.5} )[/tex]
= P ( Z > 2.33 ) = 0.0099
= 0.9%
B) percentage of oranges weighing less than 8.7 ounces
P( x < 8.7 ) = [tex]P ( \frac{x - u}{ std} > \frac{8.7-8}{1.5} )[/tex]
= P ( Z < 0.4667 ) = 0.6796
= 67.96%
C ) probability of orange selected weighing between 6.2 and 7 ounces?
P ( 6.2 < X < 7 ) = [tex]P (\frac{6.2-8}{1.5} < \frac{x - u}{ std} < \frac{7-8}{1.5} )[/tex]
= P ( -1.2 < Z < -0.66 )
= Ф ( -0.66 ) - Ф(-1.2) = 0.13956
What is the ratio of daises to all the flowers in the vase?
Answer: Do you have the original ration so we can simplify it then??
Step-by-step explanation:
Jill runs 3/4 of a mile, and
Amy runs 2/3 of a mile.
How far did Jill and Amy
run combined?
Answer:
1 1/5 mile
Step-by-step explanation:
3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 1/5
Which is true when you rent?
ОА.
You build equity in your house.
ОВ.
You are responsible for any repairs.
Ос.
You pay fewer up-front costs.
You are responsible for any repairs.
What is the equation in slope-intercept form of the line that passes through the points (−12, −4) and (4, 8)?
A. y = −43 − 20
A. , y = −43 − 20
B. y = 43 − 12
B. , y = 43 − 12
C. y = −0.75 − 13
C. , y = −0.75 − 13
D. y = 0.75x +5
D. , y = 0.75x +5
Answer:
Choice D. [tex]y = 0.75\, x + 5[/tex].
Step-by-step explanation:
The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:
[tex]m[/tex] is the slope of the line, and[tex]b[/tex] is the [tex]y[/tex]-intercept of the line. (The [tex]y\![/tex]-intercept of a line in a cartesian plane is the [tex]y\!\![/tex]-coordinate of the point where the line intersects the [tex]\! y \![/tex]-axis.)Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:
The "rise" is the [tex]y[/tex]-coordinate of the first point minus that of the second: [tex]\text{rise} = (-4) - 8 = -12[/tex].The "run" is the [tex]x[/tex]-coordinate of the first point minus that of the second. The order of these two points should stay the same: [tex]\text{run} = (-12) - 4 = -16[/tex].Calculate the slope of this line:
[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].
The equation of the line becomes:
[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].
Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:
[tex]x = -12[/tex], and[tex]y = -4[/tex].The equation becomes:
[tex]-4 = 0.75 \times (-12) + b[/tex].
Solve for the value of [tex]b[/tex]:
[tex]b = 5[/tex].
Hence, the slope-intercept form of this line shall be:
[tex]y = 0.75\, x + 5[/tex].
(IF YOU'RE IN COLLEGE, ANSWER THIS) Should I delete social media?
I have twitter and I feel like it's impacting my life. I'm in college and whenever I study or work on an assignment, I find myself distracted by clicking on the website, and scroll through the timeline for hours. And then boom, it's 8pm. It's the reason why I'm so behind on my studies. I think I should delete it because I care about my future and I wanna become successful (I wanna be a doctor). but at the same time I have like 334 followers lol and it's nice but I should delete it for good I think. People are too toxic and it does no good for my brain.
Answer:
I think you should delete it because as you said it is distracting you. I think you should just focus on your studies if that is the most important thing to you
James is studying different kinds of weather. Rain has water drops that are larger than 0.02 inch in diameter. Small hailstones are less than 14 inch in diameter. Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence.
Answer:
wheres the stament
Step-by-step explanation:
Answer:
huh
Step-by-step explanation:
find the possible factor for the estimated product 5,600
5x + y =7
20x + 2 = y
Answer:
y = 6
x = 0.2
Step-by-step explanation:
5x + y =7
20x + 2 = y
5x(4) + y(4) = 7(4)
20x + 4y = 28
(20x = 28 - 4y) = (20x = y - 2)
28 - 4y = y - 2
30 - 4y = y
30 = 5y
y = 6
5x + y =7
20x + 2 = y
y = 7 - 5x
7 - 5x = 20x + 2
5 - 5x = 20x
5 = 25x
x = 0.2
Your grandfather gave you $18 to buy a present. This covered 9/10 of the cost. How much did the present cost?
what is the lcm of 16 and 24
Answer:
48
Step-by-step explanation:
Please help guys this has to be do in 10:00 please help
Answer:
1)14oz
2)28oz
Step-by-step explanation:
1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)
42*1/3=14
So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.
So that means she has 28 oz of water left when she gets there.
I think of two numbers.
When I add the numbers, the answer is 8.
When I subtract the numbers, the answer
Is less than 6.
What can the numbers be?
The two numbers can be _ and _ .
Answer:
There are a variety of possible answers, including the following:
4 and 4 (4 + 4 = 8........4 - 4 = 0.......... 6 > 0)
6 and 2 (6 + 2 = 8........6 - 2 = 4.......... 6 > 4)
5 and 3 (5 + 3 = 8.........5 - 3 = 2.......... 6 > 2)
And for the subtraction, each can be reversed (2 - 6 ...... 3 -5 ...... etc.)
Answer:
2 and 3 is the answer we know it right
The measures of two supplementary angles are in the ratio 1:3. What is the measure, in degrees, of the larger angle?
Sum of two angles that are supplementary = 180°
Ratios in which they have been given their measurement = 1 : 3
Total number of parts = 1 + 3 = 4
Each part = 180÷4 =
[tex]Each \: part = \: \frac{180}{4} [/tex]
Each part = 45°
Measure of smaller angle = 45 × 1 = 45°
[tex]Measure \: of \ \: the \: smaller \: angle \: = \: 45 \: × \: 1 \: = \: 45°[/tex]
[tex]Measure \: of \: \: the \: larger \: angle \: = \: 3 \: × \: 45 \: = \: 145° \: [/tex]
∴ The measure of the larger angle in degrees = 145° .
What is the y-intercept of the line with equation 3y - 4x = 9?
Answer: (0, 3)
Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.
So we have 3y - 4(0) = 9.
This simplifies to 3y = 9.
Dividing both sides by 3, we find that y = 3.
So our y-intercept is 3 which we can write as the ordered pair (0, 3).
In a casino in Blackpool there are two slot machines (machine 1 and machine 2): one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20% of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random (this turns out to be machine 1) and put a coin into it. Given that you loose that first bet estimate the probability that machine 1 is the more generous of the two machines
What do I know?
What do I want to find out?
What do I expect the answer to be?
How do I go from what I know to what I want to find?
Is the answer consistent with what I expected?
Answer:
Step-by-step explanation:
From the given information:
We are told that there exist two machines
Machine 1 and Machine 2
Given that machine 1 pays 10% when it is generous, then the probability can be computed as:
P(pays | machine 1 is generous) = 0.10
Also, machine 2 pays 20% when it is generous, then the probability that the machine pays 20% when it is generous is :
P(pays | machine 2 is generous) = 0.20
However, the two machines have an equal chance of being generous.
Therefore, the probability that machine 1 is generous is equal to the probability that machine 2 is also generous.
i.e.
P( machine 1 is generous) = P( machine 2 is generous) = 0.50
The first objective is to find the probability that the machine 1 is generous, given that the player loses the first bet.
i.e. P (machine 1 is generous | but lost)
Thus, we know that the probability that the machine is generous is = 0.5, therefore, the probability that the machine is generous is 50% when he loses the first bet.
Therefore, to find the probability that the machine 1 is generous | but lost, we have:
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{P(machine \ 1 \ is \ generous \ \cap lost )}{P(lost)} }[/tex]
Let:
P(lost | machine 1 is generous) = A
P(machine 1 is generous) = B
P (Pays | machine 1 is generous ) = C
P(Pays | machine 2 is generous ) = D
P(machine 2 is generous) = E
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - C) \times B}{ (1 - C) \times B + (1 - D) \times E} }[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - 0.10) \times 0.50}{ (1 - 0.10) \times 0.50 + (1 - 0.20) \times 0.50} }[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{0.45}{0.85}}[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) =0.5294}[/tex]
Thus, the probability that machine 1 loses the first bet but it is generous = 0.5294
Thus, since the answer is close to 0.50, we say that the answer is consistent with what is expected.
7 + 2/3x= -1 can you help me solve
[tex]7 + \dfrac{2}{3x} = - 1 \\ \implies \: \dfrac{2}{3x} = - 1 - 7 \\ \implies \: \dfrac{2}{3x} = - 8 \\ \implies \: 2 = - 24x \\ \implies \: x = - \dfrac{2}{24} \\ \implies \: x = - \dfrac{1}{12} [/tex]
Answer:
x = -12
Step-by-step explanation:
multiply all terms by 3 to get whole numbers
->21+2x=-3
subtract 21 both sides to isolate the variable
->2x=-24
divide by 2 both sides to simplify
->x=-12
Arnold has $500 as his pocket money, he buys a bike for $200, and he payed 10% tax and payed 20$ extra. How much money did he have balance?
Answer:
$250
Step-by-step explanation:
Total money he has - $500
He buy a bike for - $200
500 - 200 = 300
Balance - $300
10% tax
10 x 300/100 = 30
300 - 30 = 270
He payed $`20 extra
170 - 20 = 250
Balance = $250
He had $250 balance in his pocket money
Hope you understand
:-)
how math is used in technology
Answer:read the explanation
Step-by-step explanation:
The processors that power computers are able to perform calculations quickly, and the calculations are performed using Boolean algebra. People generally solve math problems using a base-10 number system. Boolean algebra relies on base-2 math, in which all numbers are represented using ones and zeros.
In addition to calculating basic math problems, however, computers also use Boolean logic. This logic, which is rooted in discrete mathematical principles, allows computers to solve problems that require making logical decisions. Boolean algebra and logic combine to make sophisticated devices; self-driving cars, for example, use the input calculated from digital cameras to make decisions about how to navigate.
write an equation that represent the table
Answer:
y equals 5x + 20
A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 9.8 inches, and standard deviation of 1.6 inches. If 48 items are chosen at random, what is the probability that their mean length is greater than 9.2 inches
Answer:
0.6462
Step-by-step explanation:
Given that
Mean (m) = 9.8
Standard deviation (s) = 1.6
Probability that mean length is greater than 9.2
Z = (x - m) / s
Z = (9.2 - 9.8) / 1.6
Z = - 0.6 / 1.6
Zscore = - 0.375 = - 0.375
P(Z >- 0.375) = 1 - P(Z < - 0.375) ;
P(Z < - 0.375) = 0.3538
1 - P(Z < - 0.38) = 1 - 0.3538 = 0.6462
What is 5 8/100
as a decimal?
O
A. 5.008
0
B. 5.08
O
C. 5.8
0 D. 58
Answer:
5.08
Step-by-step explanation:
5 8/100
Since there are 2 zero's in 100, we need two numbers in the top
Replace 8 with 08 which is the same number
5 08/100
Now write as a decimal
5.08
Answer:
B. 5.08
Step-by-step explanation:
[tex]5\frac{8}{100} = \frac{508}{100}[/tex] 508 ÷ 100 = 5.08I hope this helps!
What is the value to the expression -2.1(4.7+(-7.4))