The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size.
A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together. The
Company requires the neighborhood to order at least 2 Jordan sizes and at least 3
Shaq sizes. The Toy Company makes a profit of $1,350 on the Jordan size and $1,200
on the Shaq size. What is the maximum profit they can make given the constraints
above? (You can use Desmos to graph if you do not have any graph paper).
Lo
Answers
Answer:
Maximum Profit = 13050
when
The Toy company sells Jordan Size hoops = 7
The Toy company sells Shaq Size hoops = 3
Step-by-step explanation:
Given - The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size. A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together. The Company requires the neighborhood to order at least 2 Jordan sizes and at least 3 Shaq sizes. The Toy Company makes a profit of $1,350 on the Jordan size and $1,200 on the Shaq size.
To find - What is the maximum profit they can make given the constraints above?
Proof -
Let us assume that,
The Toy company sells Jordan Size hoops = x
The Toy company sells Shaq Size hoops = y
Now,
Given that, A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together.
⇒x + y ≤ 10
Now,
Given that, The Company requires the neighborhood to order at least 2 Jordan sizes and at least 3 Shaq sizes.
⇒ x ≥ 2
y ≥ 3
Now,
Given that,
The Toy Company makes a profit of $1,350 on the Jordan size and $1,200 on the Shaq size.
So,
The objective function becomes
Z = 1350x + 1200 y
So,
The Linear Programming Problem (LPP) becomes
Maximize Z = 1350x + 1200 y
Subject to
x + y ≤ 10
x ≥ 2
y ≥ 3
x, y ≥ 0
We will Solve the LPP by Graphical method.
The graph is as follows :
The points on the Boundary are -
A(2, 8)
B(2, 3)
C(7, 3)
So,
Points (x,y) Objective function value ( Z = 1350x + 1200y)
B(2,3) 1350(2) + 1200(3) = 6300
C(7,3) 1350(7) + 1200(3) = 13050
A(2,8) 1350(2) + 1200(8) = 12300
So,
Maximum value = 13050 at point C(7,3)
∴ we get
Maximum Profit = 13050
when
The Toy company sells Jordan Size hoops = x = 7
The Toy company sells Shaq Size hoops = y = 3
Related Questions
which fraction is equivalent to 0.63? A. 7/11 B. 19/30 C. 63/100 D. 63/1000
Answers
Answer:
C. 63/100
hope this helps
have a good day :)
Step-by-step explanation:
HELP ASAP PLS
The lifespan of a car battery is normally distributed with µ = 5 years and σ = 1.2 years. What is the probability that a new battery will last between 7 and 8 years?
a. 3.61%
b. 13.74%
c. 4.16%
d. 2.15%
Answers
Answer:
4.16%
Step-by-step explanation:
Had it on my test gl!
The probability that a new battery will last between 7 and 8 years is 4.16%.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
µ = 5 years and σ = 1.2
Now, P( 7 < x <8)
= P ( 7- µ/σ < x- µ/σ < 8- µ/σ)
= P( 7- 5/1.2 < 7- µ/σ < 8- 5/1.2)
= P (1.5 < z < 2.5)
= Φ(2.5) - Φ (1.5)
= 0.9938 - 0.9522
= 4.16%
Learn more about Probability here:
https://brainly.com/question/30034780
#SPJ2
The expense ratio (in percentage) for large-cap growth mutual funds have the following sample data0.52, 1.06, 1.26, 2.17, 1.55, 0.99, 1.10, 1.07, 1.81, 2.05 0.91, 0.79, 1.39, 0.62, 1.52, 1.02, 1.10, 1.78, 1.01, 1.15The data is believed to be normally distributed.a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypothesis using a significance level 0.01.b. Referring back to part (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that ? = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?c. Suppose that ? = 0.5, determine and interpret the power of the test in part (a) for the actual value of ? stated in (b).
Answers
Answer:
Part a: Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b: Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c: Power = 0.6591=0.66
Step-by-step explanation:
Part a:
Let the null and alternate hypotheses be
H0: u ≤ 1 against the claim Ha: u > 1
The significance level is ∝=0.01
As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom
This is one tailed test the critical region is t > ± 2.539
The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486
We take population mean = u= 1
The test statistic is
t = x`-u/ s/ √n
t= 1.24-1 / 0.445/√20
t= 0.24/0.0995
t= 2.412
Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b:
Type I errors are those errors when the null hypothesis is true and is rejected.
Type II errors are those in which the null hypothesis is false and is accepted.
If we had rejected the null hypothesis as it was true then we would have made a type I error.
Population mean = u = 1.33
And our null hypothesis is u= 1
Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c:
When σ= 0.5
For Part a: μ= 1.33
Power = P (reject H0/ H0 is false)
= 1-β
P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)
= P (z > 2.539+ (1-1.33) /0.5 *√20)
=P (z > 2.539-2.9516)
= P (z > 0.4126)
= 0.5 - P (z= 0.2938) from the area of table.
= 0.5- 0.1591
=0.3409
Power = 1-β = 1- 0.3409= 0.6591=0.66
How do I multiply 73.458 × 0.39
Answers
Segment CD is shown on the graph. Which shows how to find the y-coordinate of the point that will divide CD into a 5:2 ratio using the formula y = (y2 – y1) + y1? y = (3 – 1) + 1 y = (3 + 4) – 4 y = (3 – 1) + 1 y = (3 + 4) – 4
Answers
Answer:
Options are not clear.
See explanation
Step-by-step explanation:
Given
[tex]C = (-4,1)[/tex]
[tex]D = (3,3)[/tex]
[tex]m : n =5:2[/tex]
Required
The y coordinate
When a line is divided into segments, by ratios.
The formula is:
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
By comparison:
[tex]y = \frac{my_2 + ny_1}{m + n}[/tex]
Where:
[tex]y_1 = 1; y_2 = 3[/tex]
[tex]m : n =5:2[/tex]
So, we have:
[tex]y = \frac{5*3 + 2*1}{5 + 2}[/tex]
[tex]y = \frac{15 + 2}{7}[/tex]
[tex]y = \frac{17}{7}[/tex]
Answer:
{5/7}(3-1)+1
Step-by-step explanation:
got it right on edg
Find the number of outcomes in the complement of the given event.
Out of 270 apartments in a complex, 174 are subleased.
Answers
Answer:
96
Step-by-step explanation:
Out of 270 apartments in a complex, 174 are subleased.
Given that :
Total number of apartments in complex = 270
Number subleased = 174
The complement of event A = not A
Therefore, The complement in this scenario is NOT SUBLEASED ;
Hence, the Number of apartments in complex not subleased is :
Total apartment in complex - number subleased
270 - 174 = 96
Find the area of the composite shape. Use 3.14 for π and round to the nearest hundredth.
___ square inches
Answers
Answer:
49.12 in²
Step-by-step explanation:
The composite figure here is a semicircle and a triangle :
Area of triangle = 1/2 * base * height
Base of triangle = 8 inches ; height = 6 inches
Area of triangle = 1/2 * 8 * 6 = 48/2 = 24 in²
Area of semicircle = 1/2 * πr²
Radius = 4 in
Area of semicircle = 1/2 * 3.14 * 4² = 25.12 in²
Area of composite figure :
Area of triangle + Area of semicircle
(24 in² + 25.12 in²)
= 49.12 in²
PLEASE HELP I WILL MAKE YOU THE BRAINLIEST IF IT LETS ME
NO FAKE LINKS OR I WILL REPORT YOU
Answers
Answer:
b
Step-by-step explanation:
since 5 is 1/2 of 10, 10 is 1/2 of 20, and so on and so forth.
Answer:
B
Step-by-step explanation:
Every number on A is half what the corrisponding number on B
*
The model below represents 66%. What decimal is equivalent to this percent?
(1 Point)
O 0.066
O 0.66
6.6
66
Answers
Answer:
the answer is 00.66 because I did it before
..................
What is the length of the sink using the red line on the tape measure?
Answers
Answer:
A.
Step-by-step explanation:
Please Help 100 points and brainless
Hurry!! And thanks:)
Answers
Answer:
48:42 goes into 7:8
Step-by-step explanation:
I need the answer fast
Answers
The answer is the first one, A = 0.5bh. I hope this helps, have a good day!
find the equivalent expression (3n+2 - 6n2) + (-4n3 - 1 + 8n)
a -5n3+11n+1
b-4+11n-1
c-8n3+11n+1
d-4n3+11n+1
Answers
Answer: [tex]-4n^3 -6n^2 +11n+1[/tex]
Step-by-step explanation:
[tex](3n+2-6n^2)+(-4n^3 -1+8n)\\\\=3n+2-6n^2 -4n^3 -1+8n\\\\=-4n^3 -6n^2 +11n+1[/tex]
HELP PLSSS HURRY PLS
Answers
Answer:
48
Step-by-step explanation:
because it gives us the perimeter, we add all the sides
4z-1+4z-1+5z+3+5z+3=166
8z-2+10z+6=166
18z+4=166
18z=162
z=9
side PS is 5z+3
plug in z to get 45+3=48
I need help quick 5 mins leftyttt
Answers
Answer:
I don't know sorry :((((((((((((((((
Step-by-step explanation:
Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?
Answers
Answer: $1,540.00 is the total amount needed for the class trip
Step-by-step explanation:
Data: $110.00 earned for class trip
14th of the money needed
Money needed: x
Step one, Make the equation
110x14=x
Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.
Step two, Evaluate the equation
110x14=x=1540=x
Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the answer of x=1540.
However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'
I hope this helps!
Last semester, Mr. Dean had 8 students who built a sailboat in 160 working hours. The time that
takes for a group of students to build a sailboat varies inversely as the number of students s working on the
sailboat. How many hours would it take 12 students to build the bout?
Answers
Answer:
106.67 hours
Step-by-step explanation:
Total hours
160 * 8 = 1,280
Hours for group of 12
1280 / 12 = 106.6666666667
Which value of x is a solution of x<-2
Answers
Answer:
Given that the magnitude of x would be lesser than < -2
Then it would consisted with the values smaller than -2
x { -3,-4,-5,-6,......,-infininty} (ans)
Hope it helps
how to put 10x - 3y= -6 in slope intercept form
Answers
Answer:
y=10/3x+2
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10x-3y=-6
-10x. -10x
-3y=-6-10x
/-3. /-3
y=10/3x+2
I need Help!
+9 - (+12) =?
Answers
Answer:
+9-12
==3
Step-by-step explanation:
when u multiply - and + it will always be -
Answer:
To simplify this, it is simply.
9 - 12
Because the + means its a positive.
9 - 12 = - 3
Segment AB, with endpoints A(-6,9) and B(12, -3), is dilated by a scale factor of 2/3 centered at the origin. What are the coordinates of A'?
Answers
9514 1404 393
Answer:
A'(-4, 6)
Step-by-step explanation:
When dilation is about the origin, the image points are the preimage points multiplied by the scale factor.
A' = (2/3)A = (2/3)(-6, 9)
A' = (-4, 6)
Answer:
(-4, 6)
Step-by-step explanation:
Hurry no links pls Eve can take one of three different buses to and from work
(bus A, B, or C). She randomly catches one bus in the
morning and another one on the way home. This table lists
the sample space of outcomes.
Afternoon
A
в с
A AA AB AC
Morning
B BA BB BC
C CA CB CC
In the event AB, Eve rides the A bus in the morning and the
B bus in the afternoon.
Which outcome would be included in the event "rides bus C both ways"?
A. CC
B. AA
C. BC
D. CA
Answers
Because it’s the only one where bus c is rode both directions
What is the unit rate per watermelon if a store has them on sale for buy 5 watermelon for $11.50? Unit rate =$
Answers
Just divide 11.50 by 5
The two pyramids below are similar. What is the length of the altitude of the
smaller pyramid?
HELP PLEASE
Answers
Answer:
The answer is B. [tex]\frac{6}{5}[/tex].
Step-by-step explanation:
In order to solve for the length of the altitude of the smaller pyramid, start by writing the length of the altitudes and the length of the pyramids in a proportion. The proportion should look like [tex]\frac{3}{5}[/tex] = [tex]\frac{x}{2}[/tex] because each number has to correspond with its similar number.
Next, cross multiply both fractions to get an equation, which will look like 5x=(3)(2). Simplify the equation, and now it will look like 5x=6.
Then, divide both sides by 5, and the final answer will be [tex]\frac{6}{5}[/tex].
An art class is planning to paint a mural on an outside wall.The figure below is a scale
drawing of the wall. What is the area of the actual wall?
Answers
Answer:
Step-by-step explanation:
I dont see The figure to hepl you
The spinner below shows 5 equally sized slices. Yolanda spun the dial 20 times and got the following results Outcome Grey 7 White 7 Black 6
Number of Spins
. Fill in the table below. Round your answers to the nearest thousandth. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on grey.
(b) From Yolanda's results, compute the experimental probability of landing on grey.
(c) Assuming that the spinner is fair, choose the statement below that is true:
As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.
The experimental and theoretical probabilities must always be equal.
Answers
Answer:
Step-by-step explanation:
There are 5 equal areas. 2 of them are gray
2/5 = 0.4
P(gray) = 0.4
The experimental probability is 7/20 = 0.35
The first statement is the correct one. Computers like figuring out these kinds of questions. If you did this a million times, you would come very close, if not exactly, to 0.4
Distance on a Coordinate Plane
Determine the distance between the two points.
Answers
Answer:
The distance between the points is five for the first one and 7 for the second one.
Step-by-step explanation:
A car salesman will make $1400 salary this month and will earn an extra $500 each time he sells a car. Write an equation for the situation. Determine how much money he will make if he sells 7 cars.
Answers
Given:
Fixed salary = $1400
Additional salary = $500 each time he sells a car.
To find:
The equation for the situation and how much money he will make if he sells 7 cars.
Solution:
Let y be the total salary of the salesman after selling x cars.
He will earn an extra $500 each time he sells a car. So, extra money earned by him after selling x cars is 500x.
Total salary = Fixed salary + Additional salary
[tex]y=1400+500x[/tex]
Substituting [tex]x=7[/tex], we get
[tex]y=1400+500(7)[/tex]
[tex]y=1400+3500[/tex]
[tex]y=4900[/tex]
Therefore, the required equation for the given situation is [tex]y=1400+500x[/tex] and the salesman will earn $4900 if he sells 7 cars.
the volume of this prism is 378cm^3.
What is the length of x?
Answers
Answer:
The answer is 14
Step-by-step explanation:
All you have to do is Divide 378 by 27 to get x
Hope This Helps!
As shown below the circle O has a radius of 6 inches. To the nearest tenth of an inch, determine the length of the arc, x, sub tended by an angle of 1.3 radians
Answers
Answer:1537/90 * pi
Step-by-step explanation: