Use the Graphical Method to solve the following linear programming problems.Mr. Trenga plans to start a new business called Rivers Explorers, which will rent canoes & kayaks to people to travel 10 miles down the Clarion River in Cook Forest State Park. He has $45,000 to purchase new boats (canoes & kayaks). He can buy canoes for $600 each & kayaks for $750 each. His facility can hold up to 65 boats. The canoes will rent for $25 per day & the kayaks will rent for $30 per day. How many canoes & how many kayaks should he buy to earn the most revenue (rental income)?

Answers

Answer 1

Answer:

To maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.

Step-by-step explanation:

Since Mr. Trenga plans to start a new business called Rivers Explorers, which will rent canoes & kayaks to people to travel 10 miles down the Clarion River in Cook Forest State Park, and he has $ 45,000 to purchase new boats (canoes & kayaks) , and he can buy canoes for $ 600 each & kayaks for $ 750 each, and his facility can hold up to 65 boats, if the canoes will rent for $ 25 per day & the kayaks will rent for $ 30 per day, to determine how many canoes & how many kayaks should he buy to earn the most revenue, the following calculation should be performed:

65 x 750 = 48,750

48,750 - 45,000 = 3,750

750 - 600 = 150

3,750 / 150 = 25

25 x 600 + 40 x 750 = 45,000

25 x 25 + 30 x 40 = 1,825

600 x 5 = 3,000

750 x 4 = 3,000

40 x 30 + 25 x 25 = 1,825

60 x 30 + 0 x 25 = 1,800

56 x 30 + 5 x 25 = 1,805

52 x 30 + 10 x 25 = 1,810

48 x 30 + 15 x 25 = 1,815

44 x 30 + 20 x 25 = 1,820

Thus, to maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.


Related Questions

PLS HELP ASAP!its due very soon so tysm if u help me :)

Answers

Answer:

23

Step-by-step explanation:

Use the part/whole = %/100.

You have that whole = 115 and % = 20, so that would be:

[tex]part/115=20/100[/tex]

simplify & solve:

[tex]part/115=1/5[/tex]

multiply both sides by 115

[tex]part=115/5\\part = 23[/tex]

Given sin^2 x = (1 - cos(2x))/2 Prove: sin(x/2) = plus/minus sqrt((1 - cos(x))/2) Prove Complete the steps of the proof

Answers

Answer:

1. half angle

2. x

Step-by-step explanation:

The missing parts of the proof is the variable x.

What are Trigonometric Functions?

Trigonometric functions are those functions which are the ratio of the sides of a right angled triangle.

Given,

sin² (x) = [1 - cos (2x)] / 2

We have to prove sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]

First, we have

sin² (x) = [1 - cos (2x)] / 2

Substituting x/2 in place of x, we get,

sin² (x/2) = [1 - cos (2x/2)] / 2

sin² (x/2) =  [1 - cos (x)] / 2

sin² ([tex]\frac{x}{2}[/tex]) = [tex]{\frac{1-cos (x)}{2} }[/tex]

Taking square root on both sides,

sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]

Hence it is proved.

Learn more about Trigonometric Functions here :

https://brainly.com/question/6904750

#SPJ2

Which in equality represents all possible solutions of -6n< -12

Answers

Answer:

n>2

Step-by-step explanation:

please help me i really need help please

Answers

Answer:

no

Step-by-step explanation:

no

Item 8
Select the cone(s) that are similar to a cone with a height of 9 meters and a radius of 3 meters.

cone with a height of 15 meters and a radius of 6 meters

cone with a height of 12 meters and a radius of 4 meters

cone with a height of 6 meters and a radius of 3 meters

cone with a height of 3 meters and a radius of 1 meter

Answers

Answer: 12 meters

hope that helped

The scale on a map is 1in. = 2 mi. On the map, Greg’s house is 4in. from Melissa’s house. What is the actual distance from Greg’s house to Melissa’s house?

Answers

The distance from Greg's house to Melissa's is 8 mi.

Step-by-step explanation:

Multiply 4 by 2.

What is 7-4/6 ?

What is 234-303+93847?

Answers

Answer:

7-4/6 = 6.33333333333

234-303+93847 = 93778

Step-by-step explanation:

(this is a practice question)​

Answers

Answer:

<GHI = 135 degrees

Step-by-step explanation:

(3x + 12) + (x + 4) = 180

4x + 16 = 180

4x + 16 - 16 = 4x

180 - 16 = 164

4x = 164

4x / 4 = x

164 / 4 = 41

x = 41

3 * 41 + 12

3 * 41 = 123

123 + 12 = 135

If another sample of size 100 is taken, what is the probability that its sample mean will
be greater than 2.56 in?

Answers

Answer:

I don't know the answer to this but

Suppose we draw a sample of size n=16 from this population and want to know how likely we are to see a sample average greater than 22, that is P( > 22)? So the probability that the sample mean will be >22 is the probability that Z is > 1.6 We use the Z table to determine this: P( > 22) = P(Z > 1.6) = 0.0548.

Step-by-step explanation:

-12(5/6a-7/8)+1/14(3 1/2a-1 2/5)

Answers

-12(5/6 a -7/8) + 1/14(3 1/2 a- 1 2/5)

First change mixed fractions to be full fractions

-12(5/6 a -7/8) + 1/14 (7/2 a - 7/5)

Now multiply out

-12(5)/6 a -12(-7)/8) + 7/14(2) a -7/14(5)
-60/6 a + 84/8 + 7/28 a -7/70
-10a + 10.5 + 1/4a - 1/10
-10a + 0.25a +10.5 -0.1
-9.75a + 10.4

*if this =0 and you need to solve for a then
9.75a=10.4
a= 10.4/9.75
a=16/15

A 4-foot-long sandwich is cut into servings that are each ; foot long. How many servings will there be after the sandwich is cut?​

Answers

Answer:

$ because there are 4ft cut into one foot each equals 4

Step-by-step explanation:

math come help plese

Answers

Answer:

74

Step-by-step explanation:

What is 0.06 x 0.4 =

Answers

Answer:

0.024

Step-by-step explanation:

First, multiply 6 by 4 to get 24. Since there is a hundredth and a tenth, you have to move the digit 3 units right to get 0.024.

Sorta don't know how to explain this but hope this helps

A rectangular prism has a length of 5 cm, a width of 7 cm, and a height of 4 cm. What is the volume of the prism?

Answers

Answer:

140

Step-by-step explanation:

V=whl=7·4·5=140cm³

Answer:

140cm^3

Step-by-step explanation:

It is 140 because volume is base x length x height so 7 x 5 x 4 = 35 x 4 = 140 cm cubed so 140cm^3

Hope this helps

You can buy 12 cookies for $4. What is the unit rate for the cost of each cookie?​

Answers

Answer:

$0.33 per cookie

Step-by-step explanation:

The unit rate (cost per cookie) is

     $4

---------------- = $0.33 per cookie

12 cookies

Answer:

Roughly $0.34

Step-by-step explanation:

Set up an equation:

Variable x = cost of one cookie

12cookies/$4 = 1cookie/x

12/4 = 1/x

Cross multiply

12 × x = 4 × 1

12x = 4

Divide both sides by 12

12x ÷ 12 = 4 ÷ 12

1x = 4/12

x = 0.333333

x = is about $0.34

A test is 45 minutes long. There are 3 sections of the test that each take an equal amount of time. How many minutes m is each section of the test? Write an equation to represent the number of minutes for each section.

Please help me ​

Answers

Answer:

15

Step-by-step explanation:

Answer:

each section takes 15 minutes long

Step-by-step explanation:

An equation you can use to get this is 45 ÷ 3 = x

x = 15

so the answer to the equation would be 45 ÷ 3 = 15

if there are only 2 of a particular stamp remaining out of 5000 originally printed, what percent remains today?​

Answers

2/5000 times 100 = 0.04 %



pls helpppp with explanation pss​

Answers

Step-by-step explanation:

27 cubes are needed because you could need a 3×3 ×3 cube

The perimeter of a rectangle is 20 feet. The width is 4 feet less than the length. Find the dimensions of the rectangle. Then find its area.

Answers

Answer:

length = 7 ft

width = 3 ft

area = 21 sq ft

Step-by-step explanation:

let l = length

let l - 4 = width

2l + 2(l - 4) = 20

2l + 2l - 8 = 20

4l = 28

l = 7

w = 3

Area: 7 x 3 = 21

What is the solution set of the equation?
[tex]\sqrt{x} -18+9x=x[/tex]

Answers

9514 1404 393

Answer:

  x ∈ {2.07014981016}

Step-by-step explanation:

The equation can be rewritten as ...

  √x = 18-8x

  x = 324 -288x +64x²

  64x² -289x +324 = 0

  x = (289 ±√577)/128 ≈ {2.07015, 2.44548}

Since √x must be positive, we know that ...

  18 -8x ≥ 0

  x ≤ 18/8 = 2.25

The larger of the above solutions is extraneous, so the solution set is ...

  x ∈ {(289 -√577)/128} ≈ {2.07015}


What is 2 7/12 written as a decimal?

OA) 0.2583
OB) 2.583
C) 2.583
OD) 5.83

Answers

Answer:

its 2.583333333 and repeating so it would be 2.583

Solve For X? I been stuck on this question..​

Answers

Answer:

Step-by-step explanation:

PLSSS PLSSS HELP! After an injury, Greg's doctor advises him to slowly build up to his regular workout schedule, adding a certain number of minutes to his workout time each week. According to his doctor's advice, Greg should work out for 25 minutes in week 3 and 47.5 minutes in week 6. A. For how many minutes should Greg work out in week1? How many in week 10? B. For how many minutes should Greg workout in week n? Explain your answer. Make sure to include the arithmetic sequence that can be used to find out how many minutes agree should work out in week n. Show your work.

Answers

Answer:

Week 1: 10 Minutes

Week 10: 77.5 Minutes or 1 hour and 17.5 Minutes

Week n: 10 + 7.5n

Step-by-step explanation:

Every week, Greg adds another 7.5 minutes to his workout time. Week 1 starts off with 10 minutes and continuously adds 7.5 minutes until he gets to week three, which 10 + 7.5(2) = 25 minutes.

If point M (4, 6) is rotated 90 degrees clockwise around the origin, what are the coordinates of the copy for point M?

Answers

Answer:

6,-4

Step-by-step explanation:

The new position of point M (h, k) will become M’ (k, -h).

Answer:4,-5

Step-by-step explanation:

What is |-8/?
1-16
-8
8
16

Answers

The answer is 8 because I searched it up

x^{2}+y^{2}=\left(6\right)^{2}

Answers

Answer: What is your question?

you are correctyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer:

yayyy

Step-by-step explanation:

Answer:

Aww Thanks :)

Step-by-step explanation:

Write an equation of a line that has an x-intercept of -2 and a y-intercept of 6.

Answers

Answer:

y=6x+4.

Step-by-step explanation:

y=mx+b

m=6. b=4.

5th grade math. correct answer will be marked brainliest.

Answers

Answer:

DBCWBSHCHCVGCHWYEFDWEXBSAJNWUGDIHVBSYXVP VDXCBBVXBSGGSHYSXULSOOSKBHSOLSHOLSFHOJDKFIHEJIFWUGUJH

Step-by-step explanation:

Ok I failed 5th grade but I’ll try and do it.
2/3=2/3x1/2=3/2
3/4=3/4x2/3=3/4
lmk if I’m right or wrong pls

FREE BRAINLIEST IF RIGHT

Answers

Answer:

D is the only one that matches up if I remeber how to do this correctly

Answer:

Yes it is d I agree with him

Step-by-step explanation:

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