Answers
√-72 = √(i^2) 9*8 = 3i√8 = 3i√2^3 = 3i*2√2 =6i√2
Answer is D. 6i√2
Related Questions
A furniture manufacturer makes two types of furniture: chairs and sofas. The production of the sofas and chairs requires three operations: carpentry, finishing, and upholstery. Manufacturing a chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for upholstery. The prfit per chair is $90 and the profit per sofa is $75. The manufacturer wants to know how many chairs and how many sofas should be produced each day to maximize the profit.
Formulate a linear programming (LP)problem you would use to find a solution.
Answers
Answer:
Chair x₁ = 10
Sofa x₂ = 18
z(max) = 2250 $
Step-by-step explanation:
Information:
Operation-Profit Carpentry Finishing Upholstery Profit
hours hours hours $
Chair (x₁) 3 9 2 90
Sofa (x₂) 2 4 10 75
Objective Function z:
z = 90*x₁ + 75*x₂
Constrains:
1.-66 hours of carpentry available
3*x₁ + 2*x₂ ≤ 66
2.- 180 hours of finishing available
9*x₁ + 4*x₂ ≤ 180
3.- 200 hours of upholstery
2*x₁ + 10*x₂ ≤ 200
Model:
z = 90*x₁ + 75*x₂ to maximize
Subject to:
3*x₁ + 2*x₂ ≤ 66
9*x₁ + 4*x₂ ≤ 180
2*x₁ + 10*x₂ ≤ 200
x₁ >= 0 x₂ >= 0
From simplex method solver we get the answer
x₁ = 10 x₂ = 18 z = 2250
The linear programming model is:
Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]Subject to [tex]\mathbf{3x + 2y \le 66}[/tex], [tex]\mathbf{9x + 4y \le 180}[/tex], [tex]\mathbf{2x + 10y \le 200}[/tex], [tex]\mathbf{x,y \ge 0}[/tex]Represent sofa with y and chairs with x.
The given parameters are:
Carpentry:
[tex]\mathbf{Chair =3\ hours}[/tex]
[tex]\mathbf{Sofa =2\ hours}[/tex]
[tex]\mathbf{Available = 66\ hours}[/tex]
So, we have:
[tex]\mathbf{3x + 2y \le 66}[/tex]
Finishing
[tex]\mathbf{Chair =9\ hours}[/tex]
[tex]\mathbf{Sofa =4\ hours}[/tex]
[tex]\mathbf{Available = 180\ hours}[/tex]
So, we have:
[tex]\mathbf{9x + 4y \le 180}[/tex]
Upholstery
[tex]\mathbf{Chair =2\ hours}[/tex]
[tex]\mathbf{Sofa =10\ hours}[/tex]
[tex]\mathbf{Available = 200\ hours}[/tex]
So, we have:
[tex]\mathbf{2x + 10y \le 200}[/tex]
The profit is given as: $90 per chair, and $75 per sofa.
So, the objective function is:
[tex]\mathbf{Z = 90x + 75y}[/tex]
Hence, the linear programming model is:
Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]
Subject to
[tex]\mathbf{3x + 2y \le 66}[/tex]
[tex]\mathbf{9x + 4y \le 180}[/tex]
[tex]\mathbf{2x + 10y \le 200}[/tex]
[tex]\mathbf{x,y \ge 0}[/tex]
Read more about linear programming model at:
https://brainly.com/question/13720072
HELP!!!!!!!! I LOVE YOU AND ILL EVEN GIVE BRAIN
Answers
Approximately how many litres is 70 fluid ounces?
Use the conversion 20 fluid ounces = 1 pint and 134
pints = 1 litre
Answers
Matt was standing 3 feet from the edge of the pool he walked away from the pool for four seconds then he was 12 feet away from the edge of the pool
Answers
Answer: graph b
Step-by-step explanation:
2. How far does light travel in water in 5.0 X
102 seconds, if the speed of light in water is 3
108 m/s?
Answers
Can someone plz plz help me with the last 2 problems #5 and #6
Answers
i believe your answers would be
1/2c+7 and 2H-9
Solve for a.
a+(−5)=−12
Answers
the equation is basically a - 5 = - 12 so u need to bring the five to the other side making it positive and add it to - 12
if x=2+ root 3 then find the value of (x-1/x)^3
HELP ASAP
Answers
Answer:
10 and ten-elevenths
Step-by-step explanation:
x = 2 + _/3
(x-1/x)^3
(2+_/3)^3 - (1÷2+_/3)^3
= (8 + 3) - 1 ÷ (8 + 3)
= 11 - 1/11
= 10 10/11
the range of absolute value
of sinx
Answers
9514 1404 393
Answer:
[0, 1]
Step-by-step explanation:
The sine function can take on any value between -1 and 1. Then the absolute value of the sine function will have a range from 0 to 1, inclusive.
In interval form, the range of sin(x) is [0, 1].
A stack of books is 62 inches high. How high is it in feet and inches?
Answers
Answer:
5 feet and .16667 inches
Step-by-step explanation:
if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2
Question 1 Part A: How many beads did Jiao send out? *
Wooden Beads
Oak
4,525
Maple
6,950
Ash
3,720
Ebony
2,475
Bayong
1,250
Answers
Answer:
Jiao sent out 18,920 beads.
Step-by-step explanation:
All I did was add.
</3 hope this helps.
Find the slope of f(x)=5x-4
Answers
Answer:
5
Step-by-step explanation:
Answer:
slope, m = 5
Step-by-step explanation:
Recall that the slope-intercept form of a linear equation can be written:
y = mx + b or f(x) = mx + b
where m is the slope of the line.
in our case, we are given
f(x) = 5x - 4
if we compare this with the general equations above, we can see that
slope = m = 5
hence the slope is 5
The sum of three numbers is 97. The third number is 2 times the second. The second number is 9 less than the first. What are the numbers?
Answers
Answer:
The numbers are 26.5, 53 and 17.5.
Step-by-step explanation:
97=x+(x-9)+2x
97+9=4x
106/4=4x/4
x= 26.5
x-9 = 17.5
2x= 53
What is the domain of the function in this table?
X | Y
1 | 2
2 | 4
3 | 3
4 | 2
CHIOCES:
A. (1, 2), (2, 4), (3, 3), 4,2)
B. {1,2,3,4}
C. (1,2)
D. {2,3,4}
PLEASE HELP URGENT
Answers
Answer: B. {1, 2, 3, 4}
Step-by-step explanation:
The domain is the set of input values (in other words, x values)
Consider a 25 factorial design. (a) How many factors and levels are considered in this factorial experiment
Answers
Answer:
Step-by-step explanation:
From the information given;
We are to take a look at a 2⁵ factorial design.
The factorial design consists of carrying out the design of equipment by testing it by modifying not the parameters one by one but by modifying several simultaneous parameters.
An experiment is termed to be a 2⁵ factorial experiment if in the experiment 5 factors are studied consecutively with each at two-level.
Thus, there are five factors and 2 levels in the experiment.
The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).
Answers
Answer:
this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong
Step-by-step explanation:
The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP
Answers
Answer:
L = 20
W = 10
Step-by-step explanation:
L = (w + 10)
NL = (w + 13)
Divide 299 by 13:
299 ÷ 13 = 23
So, 23 x 13 = 299
L = 23
W = 13
Subtract 3 from both to get the original length and width
lincoln middle school has a total of $200 to spend on notebooks and tablets
Answers
Answer:
Oh um ok. Is there supposed to be like a 2nd part to this??
Step-by-step explanation:
The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War
Answers
Answer:
its c
Step-by-step explanation:
trust and dont vote me out! its not me i sware its cyan he sus!
Answer:
It's C
Step-by-step explanation:
What is 5 8/100
as a decimal?
O
A. 5.008
0
B. 5.08
O
C. 5.8
0 D. 58
Answers
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!
55 points and Brainliest!
Answers
Answer:
Um
Step-by-step explanation:
find the domain of 5x-2
Answers
if there are 5 fish and 1 of the dies how many are left
Answers
There are 4 living fish, but unless the dead one was taken from the tank, there are still 5 fish in the tank.
A giant garter snake is at least 64 inches long. If 1 inch is equal to
2.5 cm, how long is the Giant garter snake in cm?
Answers
Answer:
The snake would equal 160cm.
Step-by-step explanation:
Correct me if im wrong plz
Solve 27* 9
I will give 100 points!!!!!!
Answers
27* 9 = 243 there your welcome and bless you
I mark as brainliest
Answers
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
:)
help ASAP plz and Thankyou
Answers
Answer: B
Step-by-step explanation:
What is an equation of the line that passes through the points (-3,-5) and
(-3,-8)?
Answers
Answer:
x = -3
Step-by-step explanation:
The line just passes through x = -3 so, it's parallel to the Y-vector.
a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves
Answers
Answer:
8.49 per pair/pack of gloves
Step-by-step explanation:
i got this by taking 33.96 divided by 4 so i could find out how much for one pair
identify the first term of the algebraic expression. Indicate whether the term is a variable or a constant term.
5y + 8b
Answers
Answer:
Someone text me on sc queenalyssa_05
Step-by-step explanation:
Answer:5
Step-by-step explanation: