Suppose you plan to go out for a picnic during spring break. You plan to bring sandwiches, fruits, and drinks. But you only have one picnic basket that can only hold a certain capacity. Each of the items has a value and a size, and you cannot hold all your items in the basket. The picnic basket can hold a total size of 17. Given that the size and the value of items are as follows, how many of each item should you bring to maximize the total value?
Size Value
Sandwich 9 6
Fruit 3 4
Drink 4 6
a) List and explain carefully what the decision variables are.
b) Write out the objective function.
c) Write out the constraints.
d) Write the linear program.
e) Solve the Linear Programming problem using excel. Show your results.

Answers

Answer 1

Answer:

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

Step-by-step explanation:

a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.

We have three variables xi  ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)

b) z  = 6*x₁  +  4*x₂  + 6*x₃      Objective Function

Constraint :

basket capacity  17

9*x₁  +  3*x₂  +  4*x₃  ≤  17

General constraints:

x₁   ≥  0     x₂    ≥  0     x₃  ≥  0    all integers

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution


Related Questions

Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater? (Show all of your proof

Answers

Answer:

Melissa

Step-by-step explanation:

Melissa: 18/20

Tom: 85/100

Find the common denomenater so multiply 18*5 and 20*5

Melissa: 95/100

95>85

Melissa has the greater mark

The y-coordinate if you move five units up from the ordered pair (22, 23)​

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

28.

»»————- ★ ————-««  

Here’s why:  

A translation rule can be used to find the result of the point after it's found 5 units above.

⸻⸻⸻⸻

[tex]\boxed{(x,y) \rightarrow (x, y + 5)}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Applying the translation rule to the point:}}\\\\(22, 23) \rightarrow (22, 23 + 5)\rightarrow(22,\boxed{28})[/tex]

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Select all exprssion that are equivalent to 6x+1-(3x-1)

A: 6x+-3x+1+1
B: 6x+1-3x-1
C: 3x+2
Pls just find two correct answer that all I need pls

Answers

Answer:

3x+2

Although technically A and C are equivalent if 2 answers are required; C is simplified and therefore the most correct.

Step-by-step explanation:

6x+1-(3x-1)

6×+1-(3x) -1(-1)

6x+1-3x+1 <-A

3x+2. <- C

A car travels at an average speed of 48 miles per hour. How long does it take to travel 276 miles?

Answers

5.75 hours total, round accordingly

Answer:

5 3/4 hrs

Step-by-step explanation:

distance ÷ speed = time

276 ÷ 48 = 5.75

Solve.
Five times a number is 110 less than 7 times the number. Find the number.

Answers

Answer:

ANSWER

[tex]5x = 7x - 110 \\ - 2x = - 110 \\ x = 55[/tex]

SO THE VALUE OF X = 55

hope it helps

The number is 55

What is a number?

A number is a mathematical object used to count, measure, and label. The are different types of number like whole number, arithematic number, prime number, integer number and so on.

We can write the given question in mathematical expression as

5x=7x-110, where the unknown number is assumed as "x"

On solving, 5x=7x-110

                   2x=110

                     x=110/2

                      x=55

Thus the unknown  number is 55

to know more about numbers click here

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Find the greatest common factor of the following monomials:

20m

8m5

Answers

Answer:

To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together. Bam! The GCF!

Step-by-step explanation:

20 m

thank me later

Which number line shows the inequality n< - 1?

Answers

The third number line on the picture

2x2 - 4x+6 = 0 is not in general form.

1. True
2. False

Answers

Answer:

True

Step-by-step explanation:

This question is related to which chapter.

I mean what type.

Pineapples are on sale for $2 each, but customers can buy no more than 5 at
this price.
For pineapples bought at the sale price, the total cost, y, is directly
proportional to the number bought, x. This function can be modeled by y = 2x.
What is the domain of the function in this situation?
A. {0, 2, 4, 6, 8, 10)
B. All positive numbers, x > 0
O C. {0, 1,2,3,4,5)
D. {0, 1, 2, 3, 4, ...}

Answers

9514 1404 393

Answer:

  C. {0,1,2,3,4,5)

Step-by-step explanation:

The domain of the function is the possible numbers of pineapples that could be bought at the indicated price. That will be a non-negative integer less than or equal to 5:

  {0, 1, 2, 3, 4, 5)

Brainiest and 10 points

Answers

Answer:

the answer is 4.9

Answer:

12.25 ÷ 2.5= 4.9

the 3rd box

The step function f(x) is graphed. What is the value of f(0)? -2 -1 0 1 ​

Answers

Answer:

0

Step-by-step explanation:

Algebraically manipulating the formula I = Prt, find the principal (PV) deposited in a savings account which earned $11,000 in interest at a simple interest rate of
9.5% for 15 years to the nearest whole cent).

$7,312.07
$8,083.92
$7.719.30
$6,987.44
None of these choices are correct.

Answers

Answer: the required principal value is $7,719.30

Step-by-step explanation:

Given: Formula to calculate interest : I= Prt, P=principal value, r = rate of interest, t = time.

I = $11,000

r= 9.5% = 0.095

t= 15 years

Substitute in formula, we get

[tex]11000=(P)\times (0.095)\times(15)\\\\\Righatrrow\ P=\dfrac{11000}{0.095\times15}\approx\$7719.30[/tex]

Hence, the required principal value is $7,719.30

Question 6 (Essay Worth 5 points)
The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples!

Answers

Answer:

a^2+b^2=c^2 A and b need to add upp to c^2

Step-by-step explanation:

3^2+4^2=5^2

9+16=25

25=25

8^2+15^2=17^2

64+225=289

289=289

It is less than 100 and greater than 10. You use a total of 10 base ten blocks to show this number. The number of ones block is greater than the number of ten blocks. One of the digits is 7.

Answers

Answer:

70

Step-by-step explanation:

how to calculate the circumference of a circle whose radius is 12cm

Answers

Answer:

75.4cm

Step-by-step explanation:

To calculate the circumference, you need the radius of the circle:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.

Answer:

C ≈ 75.4 cm

Step-by-step explanation:

[tex]2\pi r[/tex]

2 × 3.14 × 12

C ≈ 75.4 cm

It is believed that students who begin studying for final exams a week before the test score differently than students who wait until the night before. Suppose you want to test specifically that students who study earlier have an average score that is less than the average score for students who wait to study. What are the hypotheses for this test if early studiers are group 1 and procrastinators are group 2

Answers

Answer:

H0 : μ1 = μ2

H0 : μ1 < μ2

Step-by-step explanation:

Given :

Early studiers, group 1, mean μ1

Late studiers, group 2 ; mean, μ2

To test the claim that students who study earlier have an average score that is less than the average score for students

The null hypothesis ; there is no difference in average score

H0 : μ1 = μ2

Alternative hypothesis is early studiers means is less than average score of late studiers

H0 : μ1 < μ2

Find the value of t in rhombus WXYZ.
х
40
W
Y
t+930
N

Answers

9514 1404 303

Answer:

  t = 31°

Step-by-step explanation:

Opposite angles of a rhombus have the same measure:

  4t = t +93°

  3t = 93° . . . . . subtract t

  t = 31° . . . . . . .divide by 3

Answer:

t= 31°

Step-by-step explanation:

hope it helps much too

$8.35
D $9.35
42. A museum announces that it has just
had its 1.326,871 visitor. What is the
value of the digit 6 in 1,326.871?
А
6.000
B
60.000
600.000
D 6.000.000

Answers

Answer:

6000

Step-by-step explanation:

The Value of 6 is in the thousands column

Solve -3(2-5w)=9w+66 for w

Answers

Answer:

w = 12

Step-by-step explanation:

-3(2-5w) = 9w + 66

Complete the parenthesis:

-6 + 15w = 9w + 66

Switch the numbers and group them with like terms;

15w - 9w = 66 + 6

6w = 72

w = 12

Check answers if you want to be sure

A landscape engineer is designing a triangular area.

He wants to place potted trees in the two largest corners. In which corners will he place the two potted trees?​

Answers

Answer:

25.3

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

A figure is shown with the given dimensions. What is the area, in square feet of the figure?

Answers

Answer:

area of the figure=1/2×(10+6)×3

=24 square feet

An analyst tested the null hypothesis µ ≥ 30 against the alternative hypothesis that µ < 30. The analyst reported a p-value of 0.07. For what significance level of will the null hypothesis would be rejected?

Answers

Answer:

For significance levels lower than 0.07, the null hypothesis would be rejected.

Step-by-step explanation:

Decision regarding the null hypothesis:

The decision depends on the p-value of the test.

If the p-value of the test is less than the significance level, the null hypothesis is reject.

If the p-value of the test is more than the significance level, the null hypothesis is not reject.

The analyst reported a p-value of 0.07. For what significance level of will the null hypothesis would be rejected?

From the theory above, for significance levels lower than 0.07, the null hypothesis would be rejected.

A 40 g ball of yarn is 125 m long. What is the mass of a ball of the same yarn that is 2 km long?

Answers

Answer:

640g

Step-by-step explanation:

1000m=1km so 125m times x= 2km x is 16 so we multiply 16 by 40 to get 640 g

The mass of 2 km long yarn ball is 640.

What is mass?

A measure of how much matter is in an object. This gold bar is quite small but has a mass of 1 kilogram (about 2.2 pounds), so it contains a lot of matter.

Given

40 g ball of yarn is 125 m long

To find mass for 2 km = 2000 m long yarn

[tex]\frac{40}{125} \ 2000[/tex]   =   [tex]\frac{80000}{125}[/tex]    =     640g

Hence, The mass of 2 km long yarn ball is 640.

Learn more about mass:

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is this table a function? PLEASE HELPPP

Answers

Answer:

It is a function.

Step-by-step explanation:

I would suggest use the website Desmos.

please help with that please​

Answers

1. 3
2. thursday
3. no
4. sunday
5. 8
6. 9

Answer:

1) 18 cars

2) thursday

3) no

4) sunday

5) 24 cars

6) 30 cars

Step-by-step explanation:

1. Find P (phone has internet or phone plays music) using this Venn diagram. 




2. Explain why we need to subtract P(A and B) in the equation P(A or B) = P(A) + P(B) - P(A and B).  

Answers

Answer:

tough question guy needed more points to answer

Step-by-step explanation:

MARK AS BRAINLIEST

5
Ginny is baking mince pies.
(a) A recipe says to use 3000 g of mincemeat for 100 pies.
How many grams of mincemeat will she need for 70 pies?

Answers

It would be 2100.
3000/100=30
30•70=2100

Answer:2100g

Step-by-step explanation:

We can use ratios to solve this:

100 pie : 3000g

1 pie : 30g

70 pie : 2100g

Use the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS A sin A​

Answers

Answer:

See explanation

Step-by-step explanation:

Given

The attached triangle

Required

Complete the ratios

(a) sin B

[tex]\sin(B)[/tex] is calculated as:

[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin(B) = \frac{b}{c}[/tex]

(b) cos B

[tex]\cos(B)[/tex] is calculated as:

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(B) = \frac{a}{c}[/tex]

(c) tan B

[tex]\tan(B)[/tex] is calculated as:

[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(B) = \frac{b}{a}[/tex]

(d) tan A

[tex]\tan(A)[/tex] is calculated as:

[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(A) = \frac{a}{b}[/tex]

(e) cos A

[tex]\cos(A)[/tex] is calculated as:

[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(A) = \frac{b}{c}[/tex]

(f) sin A

[tex]\ain(B)[/tex] is calculated as:

[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]

[tex]\sin(B) = \frac{a}{c}[/tex]

If you help me and explain to me how you got you’re answer you get Brainly

Answers

Answer:

KRM = 44 degrees, MRD = 46 degrees

Step-by-step explanation:

This angle is a right angle so it equals 90 degrees. That means that equations 3g + 29 and 7g + 11 will amount to 90 degrees.

(3g + 29) + (7g + 11) = 90

Combine like terms:

10g + 40 = 90

10g = 50

g = 5

Plug in 5 to both equals (in this case the question only asks for 3g + 29 or KRM):

3(5) + 29 =

15 + 29 =

44 =

7(5) + 11 =

35 + 11 =

46 =

What is the name of part B in the sphere below? A sphere. The great circle is labeled B. radius diameter center great circle

Answers

Answer: I'm pretty sure that it is D. Great circle

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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