Maximize z=200x+300y subject to x+2y<10 ,x+y<6,x>4 and x>0 ,y>0
Answers
Answer:
In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.
From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.
The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.
Number crunching done, the maximum is at (4,2)
Related Questions
Emily sells her books through Amazon. She makes a profit of $3 per book sale, however, she needs to pay $6 to Amazon Pay in fees for using their app. How many books would she need to sell to make a profit of at least $120 per day?
Answers
Answer:
Step-by-step explanation:
ASSUMING the usage fees are daily fees
120 = 3x - 6
126 = 3x
x = 42 books
What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me
Answers
Answer:
- 3r + 18
Step-by-step explanation:
7r - 8r - 2r + 13 + 5 = 7r - 10r + 18
An electrician charges a rate of $60 per hour plus a fee of $35 per job. Which expression represents the electrician's hourly rate?
60 + 35h
Answers
The hourly rate is 60, so multiply 60 by the number of hours (h) and add the fee:
Answer: 60h + 35
If x^2 - (3x-a) (bx-1) = c, where a, b, and c are constants, what id the value of c?
A. 9
B. 7
C. 13
D. 2
Answers
There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen
Answers
Answer:
45
Step-by-step explanation:
This is a combination question: how many ways can you pick 2 people from a group of 10?
Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...
[tex]C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45[/tex]
You need 1 1/4 cups of sugar to make 20 cookies. To make 16 cookies you will need how much sugar?
Answers
Answer:
You need 1 cup of sugar.
Step-by-step explanation:
16/20 = 4/5
1 1/4 = 5/4
5/4 x 4/5 = 1
You need 1 cup of sugar.
The table shows a linear relationship between x and y.
x
-6
-3
1
4
Y
21
13.5
3.5
-4
What is the slope of the line represented by the values in the table?
Answers
Hope this helps!! :)
please i need help
How many rows of seats are inside the theater? Enter your answer in the box.
Answers
Answer:
24 rows
Step-by-step explanation:
384 seats in total, and 16 chairs in a row, so 384/ 16=
24 rows
Hope this helps!
LMK if it does
problem referred below
Answers
Answer:
?? i don't know the answer
What is the answer I’m so stuck on this one
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the answer is B
P/s : i use my calculator
ok done. Thank to me :>
Option A is the answer
Please help if you can!
Answers
Answer:
-3
Step-by-step explanation:
that’s where the line intercepts with the y axis
Answer:
-3,0 is y intercept good luck
F(x) = x - 3√×
graph this function
Answers
Y intersects: (0, -square root of 3)
If p=7, then what is the value of 8×p−68×p-6?
A
6
B
9
C
50
D
56
Answers
Answer:
d
Step-by-step explanation:
you need to type it in the calculator and solve it
Wind forms desert pavement through ___.
A. sublimation
B. random acts of kindness
C. deposition
D. erosion
Answers
Answer:
D. erosion
Step-by-step explanation:
The wind is a stronger erosional force in arid regions than it is in humid regions because winds are stronger. In humid areas, water and vegetation bind the soil so it is harder to pick up. In arid regions, small particles are selectively picked up and transported. As they are removed, the ground surface gets lower and rockier, causing deflation. What is left is desert pavement, a surface covered by gravel-sized particles that are not easily moved by wind.
PLEASE HELP WITH THIS ONE QUESTION
Answers
Answer:
(x-1) (x-4) is the answer
Math experts please simplify this thank you
Answers
Answer:
t+4 / t-4
Step-by-step explanation:
(t^2 - 16) / (t^2 -8t +16)
=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)
by formula a^2 - b^2 = (a+b)(a-b)
= (t+4)(t-4) / (t-4)^2
= (t+4)(t-4) / (t-4)(t-4)
= t+4 / t-4
Identify this function
f (x) =x
Answers
Answer:
linear
Step-by-step explanation:
7x+3y=m, solve for y
Answers
We need to subtract 7x on both sides
Then divide the entire thing by 3
I need a help.... thankyouu to those who can ans. this:))
A. BSA Method
B. Clark's Rule
(20 points)
Answers
A
Step-by-step explanation:
just trust me that is the correct answer
Let f(x)= – 2x-1, h(x) = - X+2.
Find (f o h)(-1).
Answers
(f o h)(-1) = ...
= f(h(-1))
= f(-1 + 2)
= -2(-1 + 2) - 1
= 2 - 4 - 1
= -2 - 1
= -3
What fraction of an hour is 21 minutes in simplest form
Answers
7/20
Step-by-step explanation:
21 ÷ 3 = 7
21 - 1 = 20
7/20
Help help math math math please help help help
Answers
Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.
f(x)=2(x−8) ^2−3
Answers
Answer:
It's a minimum, at (8, -3)
Step-by-step explanation:
Option 1: you unwrap the square , add like terms, and then recognize it's a parabola and find the coordinates of the vertex.
Or look at it as -3 + something ^2. It means you are adding something positive to -3, so the sum is greater or equal to -3, that is the definition of a minimum. At that point you find the minimum by setting that something equal to 0 (which gives you x = 8) and the value is -3 + 0 = -3
Convert 101100 2 to decimal
Answers
Answer:
The answer is 101100
reposting this again because the first time didn’t work (please help!)
Answers
Answer:
I still can't open the file or I can't see it
Step-by-step explanation:
What is the proper order of function of 2+5(8-5)
Answers
Answer:
17
Step-by-step explanation:
2+5×3
2+15
17
A car is traveling at a speed of 54 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 10 seconds? Do not round your answers.
Answers
Question 19
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
Answers
Answer:
D. 213Step-by-step explanation:
The number of black pieces is 5 more than 3 times the white pieces:
b = 3w + 5Let the number of rounds is x.
Initial number of white nd black pieces:
w = 7x + 3b = 15x + 56Substitute the values of b and w into first equation and find the value of x:
15x + 56 = 3(7x + 3) + 515x + 56 = 21x + 146x = 42x = 7Find the number of pieces:
w = 7*7 + 3 = 52b = 3*52 + 5 = 161w + b = 52 + 161 = 213Correct choice is D
Answer:
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
Give TWO different ways to write EACH expression in WORDS.
a. -8n
b. a - 1
c. x/2-4
d. 5y + 9
Answers
Answer:
a. negative eight times a number, the product of a number and negative eight
b. one less than a number, a number minus one
c. four less than the quotient of a number and two, half of a number minus four
d. nine more than the product of five and a number, five times a number plus nine
lemme know if this was a help :P
Step-by-step explanation:
answer this asap please its emergency
Answers
Step-by-step explanation:
emergency ? why ? you are in the middle of a game with such an unfair die ?
the probabilty for a number of a regular die is 1/6 (desired cases divided by total possible cases).
the probability to role an even number is therefore 3/6 = 1/2.
that means, even and odd are the 2 possible outcomes.
now, for the unfair die we can see it as if we have now 4 possible outcomes : 3 times an even number, and 1 time an odd number.
so, the probability to roll an even number is 3/4 (and for an odd number 1/4).
now, we roll it twice.
for the sum to be even, we either have to roll 2 even numbers or 2 uneven numbers.
the probabilty is the sum of the both probabilities (it is an exclusive "or" relationship).
the probability to roll 2 even numbers is
3/4 × 3/4 = 9/16
the probability to roll 2 uneven numbers is
1/4 × 1/4 = 1/16
the sum is
9/16 + 1/16 = 10/16 = 5/8
so, E is the right answer.