The maximum value of the objective function is 3080
The vertices of a feasible region are given as
(14, 2), (0, 9), (6, 8), (10, 3)
The objective function is given as:
[tex]\mathbf{P = 180x + 250y}[/tex]
Substitute the ordered pairs in the objective function
Point (14,2)
[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]
[tex]\mathbf{P = 3020}[/tex]
Point (0,9)
[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]
[tex]\mathbf{P = 2250}[/tex]
Point (6,8)
[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]
[tex]\mathbf{P = 3080}[/tex]
Lastly, we have point (10,3)
[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]
[tex]\mathbf{P = 2550}[/tex]
The maximum value of P is calculated to be 3080.
Hence, the maximum value of the objective function is 3080
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Answer:
3080 is the answer ^
Step-by-step explanation:
PLS HELP ASAP !!
i'll mark as brainliest if u answer:))
Answer:
A = 60
B:25
Step-by-step explanation:
A looks about 1/3 of a 180
B looks about 1/3 of A
arrange the cards into three pairs of the same total.
-7,-5,-3,3,1,-1
the answer is ( -7; 3) (-5; 1) ( -3;-1)
ok done. Thank to me :>
Michael is making cookies. Each batch uses 3 cups of flour. He plans to use less than 41 cups of flour for cookies so that he has enough left to make muffins. He has already used 5 cups of flour for cookies.
How many more batches of cookies can Michael make?
1. Fewer than 15.3333...
2. Greater than 15.3333...
3. Fewer than 12
4. Greater than 12
The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.
Given that, Michael is making cookies. Each batch uses 3 cups of flour.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let the number of batches of cookies be x.
Now, the inequality to represent the given situation is
3x+5<41
Subtract 5 on both sides of inequality, we get
3x<36
Divide 3 on both sides of inequality, we get
x<12
The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.
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A function is represented by the values in the table.
THIS FUNCTION REPRESENTED IN THE TABLE (CHOOSE IS or IS NOT) LINEAR PIC BELOW
Answer:
IS LINEAR
Step-by-step explanation:
[tex]\sqrt{x} +1=3\\[/tex]
Answer:
x = 4
Step-by-step explanation:
√x + 1 = 3
√x = 3 - 1
√x = 2
(√x)² = (2)²
x = 4
14. Find the area of this rectangle.
Answer:
8×7 = 56 cm^2
.....................
Answer:
Step-by-step explanation:
The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.
so
8 × 7 = 56 cm²
Mark has 2,250 t-shirts to sell. He sold 25% of the
shirts on Monday, 45% on Tuesday and the rest on
Wednesday. How many shirts did he sell on
Wednesday?
Answer:
1575
Step-by-step explanation:
10p^8 divided by 5p^4
Answer:
[tex]\sf \cfrac{10p^8}{5p^4}[/tex]
Factor: [tex]\sf 10= 5\times 2[/tex]
[tex]\sf \cfrac{5\times \:2p^8}{5p^4}[/tex]
Cancel common factor:- 5
[tex]\sf \cfrac{2p^8}{p^4}[/tex]
Use the Quotient Rule:
[tex]\sf 8-4=4[/tex]
[tex]\boxed{\sf 2p^4}[/tex]
and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105
Answer:
E
Step-by-step explanation:
Using the cosine and sine ratios in the right triangle and the exact values
cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2s = 10 ( divide both sides by 2 )
s = 5
------------------------------
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
q = 5[tex]\sqrt{3}[/tex]
why do u get to determain how many daily limits i can have u encourge alot of a ton people to buy you're vip for over priced prices it dum and so is youre app
Can someone please help!!
Answer:
d
Step-by-step explanation:
40 is the exact amount from a,b,back to c
Jessica is a custodian at Oracle Arena. She waxes 20 square meters of the floor in 3/5 of an hour. She waxes the floor at a constant rate.
At this rate, how many square meters can she wax per hour?
What is 5261.436 rounded to the nearest thousand?
Answer:
5261.436 would be the answer
Find the measure of each marked angle.
Answer:
73 and 73
Step-by-step explanation:
2x+45=5x+3
3x=42
x=14
2(14)+45 =73
the other should also be 73
What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
Slope = (4-7)/(7-1)
Slope = -3/6
Slope = -1/2
can someone pls help me
Answer:
The independent variable is the week's, the dependent variable is the height in inches.
Step-by-step explanation:
The independent variable is the variable that when changed, something changes because of it. So for example, for plant A, in 2 weeks (independent) thevplant will grow 2 inches (dependent). The dependent variable is the variable that changes because of the independent.
Extra Information is below
Y-intercept: The y-intercept is when the line crosses with the line when the x-axis is 0. For example, plant B is by 0 weeks, it was 4 inches. The y-intercept will be 4 inches because that is where the plant started before any change in the independent variable.
Slope: Y = mx + b. To get the answer for this equation, you first need to find out the constant, the constant if we're using plant A, is 6. The constant is also the y-intercept. The equation will look like Y = mx + 6. The m is the number that when multiplied with the independent variable, then added with the constant, you get y. The m for plant A is 1, the equation should look like y = 1x + 6. Now change the x with the independent variable in the table. The independent variable is 2, so y = 1(2) + 6, y = 2 + 6, y = 8.
please help... ABCD is a quadrilateral
330,000,000,000,000,000,000,000 mass using a one-digit whole number times a power of 10.
Answer:
Step-by-step explanation:
330,000,000,000,000,000,000,000 has 22 zeros, so we can immediately say
33x10^22
This should be expressed using just a single decimal point, so we can move the decimal point two more spaces to the left, and add 2 to the exponent:
3.33x10^23
The question states a one digit whole number, so make it 3x10^23, although it seems an insult to the 0.33. Go with the one you prefer.
Maria and Carlos went to the game store during its sale.
Together they spent $38.50. If each game cost $3.50 and Carlos
bought one more tan Maria, how many games did each buy?
Answer:In a direct proportional relationship, as one object gets larger, the other object gets larger as well. This fits that definition, as when the amount of video games bought increases, so does the amount of money spent.
Step-by-step explanation:
Answer: Below
Step-by-step explanation:
38.50 divided by 3.50
11
if there are 11 in all then carols bought 6 games
and Maria bought 5 games
10 x 9= what is it help
Answer:
10
[tex]10 \times 9 \\ 90[/tex]
Answer:
90 :)
Step-by-step explanation:
10 x 9 = 90
= 90 is correct answer
(Hope this helps can I pls have brainlist (crown)☺️)
HELPPPPPPPPPPPPPPPPPP MEEEEEEEE
Answer:D
Step-by-step explanation:
The equation is y=mx+b. Here the slope is 1/5 and b is 5
Answer:
D
Step-by-step explanation:
Y intercept is +5
Slope is going up one and over five, so 1/5.
y=1/5x+5
There are 120 members of the band at Erin's school. 45% of the members are 7th graders. How many members are 7th graders.
Answer:
54Step-by-step explanation:
There are 120 members of the band at Erin's school. 45% of the members are 7th graders. How many members are 7th graders.
you simply have to find 45% of 120
120 : 100 * 45 = 54
Can someone help please no links
Answer:
-4 or 4 I would have to go with-4!!
Step-by-step explanation:
I hope this helps in any way!!
pls help me out
6x + 12x = 90
Answer:
x=5
Step-by-step explanation:
6x+12x=90
18x=90
x=90/18
x=5
Answer:
x =5
Step-by-step explanation:
To solve for x:
1: add like-terms
6x+ 12x = 90
Now it is: 18x =90
2: use division on both sides to solve for the variable
18x= 90
18x/18 = 90/18
x = 5
is 2(x+8)-3(y-7) linear or non linear?
Si. es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l
Where does the graph of y= sin x from x= 0 to x= 217 start?
O A.
at its minimum
O B.
at an x-intercept
O C.
at its maximum
OD.
between an x-intercept and its maximum
Answer:
at an x intercept
Step-by-step explanation:
You need to calculate sin 0 = 0. Which means it's crossing (or at least touching) the x axis.
The bottom of a ladder rests on the ground and the top of the ladder rests against a wall. The ladder forms a 63° angle with the ground and the top of the ladder is positioned 12 meters up the wall. Which is the exact measure of the ladder in meters?
Answer:
the one you picked was right.
Step-by-step explanation:
if 63° was the angle and the 12 was the side then "x" will be one the bottom. then you flip the fraction meaning 1/sin63° and x/12 and then multiply 12 on both sides. you will be left with x = 12/sin63°. sorry if that doesn't make sense
word problem 3/4 ÷3/8
[tex] \frac{3}{4} \div \frac{3}{8} = \\ [/tex]
[tex] \frac{3}{4} \times \frac{8}{3} = \\ [/tex]
[tex] \frac{8}{4} = \\ [/tex]
[tex]2[/tex]
Someone help plz and thanks
Answer:
Step-by-step explanation:
Total students = 6 + 6 +8 + 4 + 2 +3 + 7 + 5 = 41
Probability of a chosen student be Physics or Chemistry or both =
[tex]\dfrac{8}{41}+\dfrac{4}{41}+\dfrac{5}{41}=\dfrac{17}{41}[/tex]
Will give brainliest!
Answer:
1[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
17/20 + 7/20
17+7=24
24/20 =1.2
1 [tex]\frac{4}{20}[/tex]
can simplify to be 1[tex]\frac{1}{5}[/tex]
Answer:
1 1/5
Step-by-step explanation:
17/20 + 7/20 is equal to 24/20. Because the denominater (20 in this case) is the same we can leave it there and just add the numerator.
Now to simplify into a proper fraction. We know that only 1, 20 goes into 24 because if there was 2, 20's it would be 40 which is greater than 24. So 24 - 20 is 4. Therefore the answer is 1 4/20 which can be simplified to 1 1/5