Top Brass Trophy Company, makes large championship trophies for youth athletic teams. At the moment they are planning production for fall sports: football and soccer. Each football trophy has a wood base, an engraved plaque, a large brass football on top, and returns $12 in profit. Soccer trophies are similar except that a brass soccer ball is on top, and the unit profit is only $9. Since the football has an asymmetric shape, its base requires 4 board feet of wood; the soccer base requires only 2 board feet. At the moment there are 1000 brass footballs in stock, 1500 soccer balls, 1750 plaques, and 4800 board feet of wood.

Required:
a. Define your decision variables and variable restrictions.
b. Build and present your linear programming model.
c. If you can, solve your linear programming model by graphical method. Otherwise, state your reason. Note that you can derive an optimal solution exactly by solving related equations.
d. If the number of available plaques is 200, modify your model and solve it again.

Answers

Answer 1

Answer:

a) maximize 12F + 9S

where:

F = football trophies

S = soccer trophies

b) constraints:

wood ⇒ 4F + 2S ≤ 4800

plaques ⇒ F + S ≤ 1750

brass footballs ⇒ F ≤ 1000

brass soccer balls ⇒ S ≤ 1500

c) using solver, the optimal solution is 650F + 1100S = $17,700

d) plaques ⇒ F + S ≤ 200, then

optimal solution is 200F = $2,400


Related Questions

Find the mean of these numbers:
2,57, 38, 42,6

Answers

Answer:no

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

add all of those numbers and divide it by the value of how many numbers there are in total.

2x=(-x)+6 answer and I’ll give brainiest

Answers

2x=(-x)+6
3x=6
X=2

You would add the x to the 2x because negative :)

Answer:

x = 2

Step-by-step explanation:

[tex]2x=-x+6[/tex]

[tex]2x+x=6[/tex]

[tex]3x=6[/tex]

[tex]\frac{3x}{3} =\frac{6}{3}[/tex]

[tex]x=2[/tex]

Unscramble the themed packs below. Which one is fake?

Answers

- Fishing Uno
- Power Grab Uno
- Disney Princess Uno
- ??
- University of Florida Uno
- Over the hedge Uno
- Betty boop Uno
- Lobster Uno

no matter what answer i put in it always tells me I'm wrong so can someone actually help

Answers

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3^2}=\frac{1}{3} *\frac{1}{3} =\frac{1}{9}[/tex]

Your god mother is baking a cake for your Halloween
party. She has a giant cake pan makes a cake four times
the size of any regular cake. The giant cake needs five
cups of flour. How many cups does a regular size cake
need?

Answers

Answer:

2

Step-by-step explanation:

Divide 4 into an even number, so its 2.

Answer:

1.25 or 1 and 1/4th

Step-by-step explanation:

you have to divide the cups of flower by the size of the pan

What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?

Answers

Answer:

96

Step-by-step explanation:

Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)

= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96

HELP URGENT !!!!!!!!!!!

Answers

The answer is B. -14*1=-14 and -14+1=-13.
I believe the answer is B. Please correct me if I’m wrong! Good luck!

Marc eats an egg sandwich for breakfast and a big burger for lunch every day. The egg sandwich has 250 calories. If Marc has 5,250 calories for breakfast and lunch for a week in total, how many calories are in one big burger. ​

Answers

Answer:

21 calouris

Step-by-step explanation:

5250/250

Answer:

500

Step-by-step explanation:

250 X 7 = 1750

5250 - 1750 = 3500

3500 divided by 7 =500

what is the dacimal form of 672.937%​

Answers

Answer:

6.72937

Step-by-step explanation:

672.937%​

(calculate)

[tex]\frac{672.937}{100}[/tex]

(convert the expression)

6.72937

(there's your answer)

The grandpapa car traffic function is shown check although following statements are true of the function

Answers

bsjsnshdndjdjdjnsjdndjdndjdndusnsjssjss

Which of the following options best describes a line graph?

a) graph comparing quantities represented by bars

b) graph showing trends in categorical data

c) graph that displays the rate of change of two variables

d) graph comparing the rate of change of two or more quantities

Answers

Answer:

i hope im not to late but i think its c

A line chart is a graph that shows the rate at which two variables evolve.

Option c) is correct.

Define Graph.

A graph is a representation of the relationship among different sets of numbers or measures.

A graph is just a data structure made up of a finite number of nodes (or vertices) and the edges that link them.

A line chart is a graph that shows the rate at which two variables evolve.

So, option c) is correct.

Find out more information about graph here:

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Which line is perpendicular to y=2x-7

Answers

Answer:

y=-1/2x−5/2

Step-by-step explanation:

The equation of a line perpendicular to given line is y=-x/2.

The given equation of a line y=2x-7 and passes through the point (0, 0).

What is slope of an equation?

The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.

The standard form of equation of a line is y=mx+c, where m=slope and c=y-intercept.

So, slope of a given equation is y=2x-7

m=2

Now, slope of a line perpendicular to given line is -1/m = -1/2

Put m= -1/2 and (0, 0) in y=mx+c and simplify.

That is, 0=0+c

c=0

Then, the equation of a line is y=-x/2

Therefore, the equation of a line perpendicular to given line is y=-x/2.

To learn more about the equation of a line visit:

https://brainly.com/question/21511618.

#SPJ5

"Your question is incomplete, probably the complete question/missing part is:"

Which line is perpendicular to y=2x-7 and passes through (0, 0).

In a fruit basket there are 9 bananas, 4 apples, and 3 plums.
The ratio of bananas to apples is ________ : ________.
Type your answer in the format:
3:4

Answers

Answer:

2:3 hope it helps.

Step-by-step explanation:

9:4

This is the answer.....

The giber family purchased a house for 127,000 the first five years they paid off 12,000 each year . How much money do they still owe on the house ?

Answers

Answer:

dndnfhhfbdhdndndnmdmdndndnen

$67,000
12,000x5= 60,000
127,000-60,000= 67,000

Mikhail draws triangles ABC and FED, as shown below, and claims that the two triangles are similar but not congruent.

Select all methods that can be used to justify the claim.

show that 2C 2D and that all corresponding sides are congruent

show that 2C 2D and that all corresponding sides are proportional

show that a sequence of rotations, reflections, and translations carries triangle ABC onto triangle FED

show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED

Answers

Answer:

First definitions:

Two triangles are congruent if the corresponding sides are all the same length (one triangle can be a rotation, translation or reflection of the other)

Two triangles are similar if the corresponding interior angles are equal and the corresponding sides are proportional. (so one triangle can be a rotation, translation, reflection or contraction/dilation of the other)

You can notice that two congruent triangles are similar, but two similar triangles are not necessarily congruent.

Then two methods to show that the triangles are similar but not congruent are:

1) show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED

If we have a dilation, then the sidelengths of the corresponding sides can not be equal, wich implies that the triangles are not congruent.

2) show that 2C 2D and that all corresponding sides are proportional

If the sides are proportional, then it is similar, but not congruent.

please view picture .....................

Answers

Answer:

B.

Step-by-step explanation:

ummmmmm the answer is B

At a wedding, guests have cone shaped containers to hold flower petals to throw on the bride and groom as they leave. The cones have a radius of 5 cm and height of 10 centimeters. If there are 150 cones, what is the total volume, that all the cones will hold?

Answers

The total volume of the 150 cones is:

Total volume = 39,270 cm³

What is the total volume, that all the cones will hold?

We know that the volume of a cone of radius R and height H is given by the formula:

V = (1/3)*pi*R²*H

Where pi = 3.1415...

Here we know that the radius of the cone is 5cm and the height is 10cm, then:

R = 5cm

H = 10cm

We can replace these values to get:

V = (1/3)*3.1415*(5cm)²*10cm

The volume of the cone will be:

V = 261.8 cm³

And there are 150 of these cones, so the total volume is 150 times the above one:

Total volume = 150*261.8 cm³ = 39,270 cm³

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This is due soon today can somebody help?
35 points (if they're all right)​ comment if you don't know it

Answers

Answer:

1) P(1,0)Q(-2,3)R(-3,3)S(3,2)

2) (3,4)

3) (0,-4)

4) (1,2)

Step-by-step explanation:

Stephen is in first grade, and his class is creating pasta necklaces! There are two types of pasta to use on the necklaces: long macaroni pieces, and small rotelle pieces which look like wheels with spokes. The directions are to have no more than 35 pieces of pasta on a necklace, and each string is long enough to hold 20 macaroni noodles or 55 pieces of rotelle. Select all of the true statements below.

Answers

Answer:

A: Stephen's necklace Can hold 12 macaroni noodles and 23 pieces of rotelle . C: Stephen's necklace Can have 35 pieces of rotelle E: Stephen's necklace Can have 5 macaroni noodles and 10 pieces of rotelle

Step-by-step explanation:

Option A is true because when you add 12 macaroni noodles to 23 pieces of rotelle, you get 35 pieces of Pasta which is the maximum allowed per necklace.

Option B is untrue because 15 macaroni noodles and 21 rotelle  pieces add up to 36 pasta pieces which is higher than the maximum of 35 allowed.

Option C is true because 35 pieces of Rotelle is not higher than the maximum allowed.

Option D is untrue because even though they still add up to the maximum allowed, a string can take no more than 20 macaroni noodles and this option shows 21 macaroni noodles which is over the limit.

Option E is true as this combination of macaroni noodles and rotelle below the maximum.

A. <5, <7, <8, <11, <12, <14, <16, <17

B. <7,<8,<11,<12,<15,<16,<17,<18

C. <7,<8,<11,<12,<16,<17

D. <11, <12

Answers

Answer:im going to play roblox

Step-by-step explanation:

line m passes through point (-2,-1) and is perpindicular

Answers

Perpendicular slope is the opposite reciprocal

Graphing combined functions! (25 points)

Answers

Step-by-step explanation:

toke a while to finish it, but there you go

cheers and have a good night :D

10. Which of the following does not represent an
arithmetic sequence?
A. -7, -3, 1, 5, 9...
B. -64, -16, -4, -1...
C. 0, 2, 4, 6...
D. 3,-2, -7, -12...

Answers

Answer:B

Step-by-step explanation:because an arithmetic sequence would be either adding or subtracting and B is dividing or if it’s easier from right to left it’s multiplying

Answer
B
Explanation

0.16
As a repeating fraction

Answers

Answer:

What are you asking for?

Step-by-step explanation:

I'll answer again i just need to know more srry lo

0.16 as a fraction is 1/6

Uma caixa contém 40 bolinhas de jogo de tênis, sendo 10 verde, 14 azuis e 16 vermelhas. Retirando uma bola ao acaso da caixa, qual a probabilidade desta bola ser vermelha? Assinale a alternativa correta, que representa a probabilidade desta situação.

Answers

Answer:

i dont speak spanish

Step-by-step explanation:

The supermarket has 30 aisles. 60% are empty, without any shoppers. How many empty aisles are there in the supermarket?

Answers

Answer:

18

Step-by-step explanation:

to find the percentage of something you change the percent to a decimal and multiply it by the other number, so in this case you have 0.6*30 and you get 18.

hope this helped :))

What’s the perimeter of a square with a side of 9 cm

Answers

Answer:

32

Step-by-step explanation:

9+9+9+9 is 32 so thats your answer because all sides on a square are equal

Answer:

[tex]\boxed {\tt 36 \ centimeters}[/tex]

Step-by-step explanation:

The perimeter is the sum of all the side lengths and a square has 4 equal sides.

The perimeter of a square can be found by adding the side length 4 times or multiplying the side length by 4.

[tex]p=4s[/tex]

The side length is 9 centimeters.

[tex]s= 9 \ cm[/tex]

Substitute the value into the formula.

[tex]p=4(9 \ cm)[/tex]

Multiply

[tex]p= 36 \ cm[/tex]

The perimeter of a square with a side length of 9 centimeter is 36 centimeters.

a block is 12 g and volume is 6 what is the density

Answers

Answer: c.)2 g/ml is the correct answer.

HELP ME PLEASE I NEED A 80%

Answers

Answer:

m [slope] = 5/2

Step-by-step explanation:

Find two points on the line where they are both integers(Whole numbers, positive or negative). (30,0) and (50,50).

There is a rise of 5 units for every run of 2 units.

(30,0) → (50,50) = (30 + 20, 0 + 50) : (x,y)

m = ∆y/∆x [Change in y over the change in x]

m = 50/20

m = 5/2

Let z = z = 8 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) ) and w = 3 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) ).

Which statement describes the geometric construction of the product zw on the complex plane?

Stretch z by a factor of 3 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 3 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.

Answers

Answer:

c on edge

Step-by-step explanation:

fr

Answer:

(B) Stretch z by a factor of 3 and rotate π/6 radians counterclockwise.

Step-by-step explanation:

edge:2022 Happy new year!

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