Answer:A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. (A) If the profit on a trick ski is $40$ and the profit on a slalom ski is $30,$ how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $25$ and all other data remains the same. (C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $45$ and all other data remain the same.
Step-by-step explanation:
The optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.
Given data:
To solve this problem, we can use linear programming techniques to find the optimal number of trick skis and slalom skis that should be manufactured each day to maximize the profit.
x = number of trick skis
y = number of slalom skis
We need to maximize the profit function: P = 40x + 60y
Subject to the following constraints:
1x + 1y ≤ 336 (Fabricating department constraint)
1x + 1y ≤ 48 (Finishing department constraint)
x, y ≥ 0 (Non-negativity constraint)
We can graphically represent these constraints on a coordinate plane and find the feasible region, which is the region where all constraints are satisfied. Then, we can evaluate the profit function at the corner points of the feasible region to find the maximum profit.
After solving this system of linear inequalities, we find that the feasible region is a triangle with vertices at (0, 48), (0, 48), and (48, 48).
Evaluating the profit function at these vertices:
P(0, 48) = 40(0) + 60(48)
= $2880
P(0, 0) = 40(0) + 60(0)
= $0
P(48, 0) = 40(48) + 60(0)
= $1920
The maximum profit is $2880, which occurs when they produce 48 slalom skis and 0 trick skis.
Hence, the optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.
To learn more about linear programming, refer:
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help me please this work is graded
Answer:
you need to do it in pairs go ask one of your classmates. where is your partner for this assignment
PLZZ HELP REALLY QUICK QUICKK QUICKKK HELPP
Answer:
$1.62
Step-by-step explanation:
1. To find how much Erin spent, we have to multiply 0.54 by 3.
[tex]0.54 * 3[/tex] [tex](0.5*3)+(0.04*3)[/tex] [tex]1.5 + 0.12[/tex] [tex]1.62[/tex]Therefore, Erin spent $1.62.
Identify the divisor: 2844/45=63.2
Answer:2844 is divisor of 1
2844 is divisor of 2
2844 is divisor of 3
2844 is divisor of 4
2844 is divisor of 6
2844 is divisor of 9
2844 is divisor of 12
2844 is divisor of 18
2844 is divisor of 36
2844 is divisor of 79
2844 is divisor of 158
2844 is divisor of 237
2844 is divisor of 316
2844 is divisor of 474
2844 is divisor of 711
2844 is divisor of 948
2844 is divisor of 1422
2844 has 17 positive divisors
Step-by-step explanation:
My fingers...
An airline carries 9,000 passengers per day. How many passengers will the airline carry in 9 days?
Answer:
I think it would be 81,000 hope this helps ;)
Step-by-step explanation:
Mega Mart received 1,447 fish. The store's manager put 76 fish into each of the store's aquariums. Then he purchased the remaining 3fish for his own aquarium. How many aquariums does Mega Mart have?
Answer:
19
Step-by-step explanation:
1447-3=1444, 1444/76=19
Hope that helps!
I need help on the one about slope
if x°,2x°and 30°are the angles of triangle ,find x°and 2x°
Answer:
x° = 50° 2x°= 100°
Step-by-step explanation:
sum of all angle of triangle = 180° therefore
x° + 2x° + 30° =180°
3x° = 180° - 30°
3x = 150°
x = 50°
2x = 100
The y-intercept of a function f(x) is (0, b). What is the y-intercept of f(x) + k?
Answer:
Step-by-step explanation:
Can I follow you?
Answer:
Step-by-step explanation:
A home loan of £240 000 was paid off at £1 675
per month for 20 years. How much interest was
paid?
HELP PLEASE
Answer:
uyyyyy
Step-by-step explanation:
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer for 33 = 1, 3, 11, 33.
This is because all of those numbers divide into 33 evenly / are factors of 33.
Answer for 93 = 1, 3, 31, 93
This is because all of those numbers divide into 93 evenly / are factors of 93.
Answer:
1) composite: 1, 3 , 11 , 33
2) composite 1, 3, 31, 93
Step-by-step explanation:
1) We know that 33 is divisible by 3 because the whole value is equal to 6, and the last digit is a 3.
2) We know that 93 is divisible by 3 because the last digit was 3, and all of the place values added up to 12, which is also divisible by 3.
-kiniwih426
PLS HURRY 30 POINTS!!!
You dont have to fill out every number, just give as many as you can list.
Answer:
1. X is the midpoint of AG; given
2. X is the midpoint of NR; given
3. AX and XG are congruent; statement 1
4. NX and XR are congruent; statement 2
5. angle AXN and angle RXG are congruent; vertical angles are congruent
6. Triangle ANX and triangle GRX are congruent; make the correspondence A <-> G, X <-> X, N <-> R, and Side-Angle-Side Congruence Theorem.
Step-by-step explanation
Statements Reason
1. angle1 is about angle2 Vertical Angles
2. X is the midpoint of lineAG Given
3. lineAX is about lineGX Definition of midpoint
4. X is the midpoint of line NR Given
5. lineNX is about lineRX Definition of midpoint
6. planeANX is about planeGRX SAS
Q.
8³ + 6⁴
..................
Answer:
1808
Step-by-step explanation:
Answer:
1808
Step-by-step explanation:
Step 1: 8 to the power of 3 = 8x8x8= 512
Step 2: 6 to the power of 4= 6x6x6x6= 1296
Step 3: 512+1296= 1808
How many solutions does the following system of equations have?
{4x + 6y = 24
2x + 3y = 12
Answer:
Infinitely many solutions
Step-by-step explanation:
Note that 2(2x+3y=12) is 4x+6y=24, which is the first equation. Therefore, by canceling the equations out, you have 0=0, which means whatever one side equals, the other side ALWAYS equals that.
7y+3=3x+11
find x and y
Answer:
7y + 3 = 3x + 11
7y = 3x + 11 - 3
7y = 3x + 8
y = 3x + 8 / 7
7y + 3 = 3x + 11
7y + 3 - 11 = 3x
7y - 8 = 3x
x = 7y - 8 / 3
plssssssssssssss help it is due to 30 minutes, i mark as brainliest if answered thank you
Please help I will make you Brainliest (show working)
Answer:
Step-by-step explanation:
6) Area of rectangle = 78.5 sq . cm
length * width = 78.5
15.7 * width = 78.5
Width = 78.5/15.7
= 5 cm
7) circumference of circle = 44 cm
[tex]2\pi r = 44 \\\\2*\dfrac{22}{7}*r=44\\\\r = 44*\dfrac{7}{2*22}\\\\r = 7[/tex]
r = 7 cm
HELP PLS MARKING BRAINLEIST IF YOU ARE CORRECT
Answer:
the slop is 4 units or 40.
[tex]\sqrt{2,25}.1,46-2,25.0,02\\[/tex]
Answer:
i dont understand what your asking
Step-by-step explanation:
15. A 12.5 oz bag of Doritos for $3.79 or a 3 oz bag for $1.00.
☆
Which is the better buy
Answer: $3.79 for 12.5 oz. is cheaper per ounce than $1.00 for 3oz.
Step-by-step explanation: Without much effort we can see that $ 1.00 for 3 oz $4.00 for 12 oz. but you can get more (12.5 oz.) for less than $4.00 (for $3.79) if you buy 12.5 oz. for $3.79
Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748.
Step-by-step explanation:
The formula used to determine the terms is
an = a1 × rn - 1
It is given that
a1 = 4
a8 = -8,748
Substituting the values in the formula
-8748 = 4 × r8 - 1
r7 = -8748/4
r7 = -2187
r = -3
So the 16th term is
a16 = 4 × 316-1
a16 = -57395628
Therefore, the 16th term is -57395628.
how many millimeters (mm) are found in each centimeter (cm) on a ruler?
1000 millimeters are found in centimeters
Need help ASAP plz help
Write the equation of a line, in slope intercept form,
that has a slope of 5 and an intercept of (0,-3).
Answer:
y = 5x -3
Step-by-step explanation:
Slope intercept form is y = mx + b
m = slope
b = the y intercept
The problem gives you a slope of 5, and it gives you the y interecept of -3.
Plug those into slope intercept form:
y = 5x -3
A hot air balloon rose between 1 and 1 feet each second. Which is the best
estimate for the altitude of the balloon after 26 seconds?
[A] 65 feet
[B] 20 feet
[C] 55 feet
[D] 40 feet
Answer:
i think the best estimate is answer b
Step-by-step explanation:
Please solve with explanation
Answer:
Hope it helps you.......
Román preguntó en servicio al cliente si le podían fabricar los Zetas con medidas especiales aló cual respondieron que si él requiere una loseta cuadrada con un aria de 225 m² cuanto miden los lados de la loseta que le fabricaron
Answer:
Los lados de la lista cuadrada que le fabricaron miden 15 m
Step-by-step explanation:
Hola! Sabemos que la loseta tiene área cuadrada y que el área del cuadrado está dada por:
Ac = a²
Donde a es la medida de los lados del cuadrado.
Para hallar la medida de la lista cuadrada despejamos a aplicando raíz cuadrada a ambos miembros:
a = √(Ac)
a = √(225 m²)
a = 15 m
Los lados de la lista cuadrada que le fabricaron miden 15 m
Respuesta: Los lados de la lista cuadrada que le fabricaron miden 15 m
Explicación paso a paso:
Hola! Sabemos que la loseta tiene área cuadrada y que el área del cuadrado está dada por:
Ac = a²
Donde a es la medida de los lados del cuadrado.
Para hallar la medida de la lista cuadrada despejamos a aplicando raíz cuadrada a ambos miembros:
a = √(Ac)
a = √(225 m²)
a = 15 m
Los lados de la lista cuadrada que le fabricaron miden 15 m
3. What is the slope of the given graph?
y =
Answer:
1/2
Step-by-step explanation:
Remember rise over run (rise/run). Rise is the movement in the y axis and run is the movement within the x axsis.
5
3
Which of the following has the same value as 7 - - 2-
6 6
Answer:
MY ANSWER IS 5 THANK YOU FOR QUESTION
Find the radius of a cube whose volume is 994 cubic centimeters.
Using work to find the radius
Answer:
Side of the cube: 10cm
Step-by-step explanation:
Firstly, I'd like to state that cubes actually do not have a radius, they have sides. Hence, I am going to solve for sides below:
Volume formula for a cube:
v = s³
Since the volume is 994 cm³
s³ = 994
s = [tex]\sqrt[3]{994}[/tex]
= 9.97995986613
≈ 10cm
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Please fill in these boxes :)
Answer:
reciprocal of 4= 1/4
reciprocal of 1/3=3
reciprocal of -1/7 = -7
reciprocal of -4/5=-5/4
Step-by-step explanation:
it's explained