I need this answered asap please help

The linear programming model would include equation for profit will be Z = 0.85X + 0.9Y and production constraints are 0.3X <= Y <= 0.6X; demand constraints are X <= (5000 + 3A) and Y <= (4000 + 5B); and cost constraint are 0.6X + 0.85Y + A + B <= 16,000.

Optimal values of X, Y, A, and B that maximize profit (Z) can be determined by using Excel Solver.

The linear programming model for the given problem is shown below:

Let X be the number of jars of applesauce produced. Y be the number of bottles of apple juice produced.

The objective function will be to maximize profit, which can be calculated by the following equation:

Profit = revenue - cost

Revenue can be calculated by multiplying the number of units produced by their respective selling prices. Cost can be calculated by multiplying the number of units produced by their respective production costs. The equation for profit will be:

Z = 1.45X + 1.75Y - (0.6X + 0.85Y)

Z = 0.85X + 0.9Y

The marketing manager estimates that the demand for applesauce is a maximum of 5,000 jars, plus an additional 3 jars for each $1 spent on advertising. The maximum demand for apple juice is estimated to be 4,000 bottles, plus an additional 5 bottles for every $1 spent on promoting apple juice. The maximum amount of money that can be spent on production and advertising is $16,000.

Therefore, we can write the constraints as follows:

Production constraints:

0.3X <= Y <= 0.6X

Demand constraints:

X <= (5000 + 3A)

Y <= (4000 + 5B)

Cost constraint:

0.6X + 0.85Y + A + B <= 16,000

Where A and B are the amounts spent on advertising for applesauce and apple juice, respectively.

To solve the model by using the computer, we can use any software that solves linear programming problems.

One such software is Microsoft Excel Solver. We can set up the problem in Excel as follows:

Cell C9: 0.85X + 0.9Y

Cell C12: 0.6X + 0.85Y + A + B

Cell C13: $16,000

Cell C15: 0.3X

Cell C16: XCell C17: 0.6X

Cell C18: 5000 + 3A (for applesauce)

Cell C19: Y

Cell C20: 4000 + 5B (for apple juice)

Cell C21: A

Cell C22: B

We then use Excel Solver to find the optimal values of X, Y, A, and B that maximize profit (Z).

Learn more about Linear programming:

https://brainly.com/question/14309521

#SPJ11

Answer:

i think its 5, use the magic numbers of pythagoras theorem to help u it might not be correct, use at ur own risk

Answer:

1.25 lawns/per hour

Step-by-step explanation:

Based on the survey results, the probability that a randomly selected participant is an adult (event C) is 0.3575, while the probability that the participant prefers comedies (event D) is 0.405.

To find the probability of event C, we divide the number of adults by the total number of participants in the survey. Since the sample size is 400, let's say the number of adults in the survey is A. The probability of event C can be calculated as P(C) = A/400. However, the exact number of adults is not given in the question, so we cannot determine the exact value.

Similarly, to find the probability of event D, we divide the number of participants who prefer comedies by the total number of participants in the survey. Let's assume the number of participants who prefer comedies is D. The probability of event D can be calculated as P(D) = D/400. Again, the exact value of D is not provided, so we cannot determine the exact probability.

In summary, without knowing the exact number of adults and participants who prefer comedies, we cannot calculate the precise probabilities. However, the values provided in the question for P(C) = 0.3575 and P(D) = 0.405 are assumed to be the correct probabilities based on the given survey results.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

From both equations

Hence the solution set in interval notation

Answer:

12ab  

6x+7y

Step-by-step explanation: hope I helped

Answer:

( a ) 3a ( 4 ) b

= 12ab

( b )Let's simplify step-by-step.

5x + 9y + x − 2y

= 5x + 9y + x + − 2y

Combine Like Terms:

= 5x + 9y + x + −2y

= ( 5x + x ) + ( 9y + −2y )

= 6x + 7y

Hope it helps

Please mark me as the brainliest

Thank you

The general solution for the given differential equation is the sum of the complementary function and the particular solution:

\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

We are given the differential equation: d²y/dx - 36y = cosh(3x).

In this case, the homogeneous equation is d²y/dx - 36y = 0.

The characteristic equation associated with the homogeneous equation is obtained by replacing the derivatives with their corresponding algebraic expressions. In our case, we have r² - 36 = 0. Solving this quadratic equation, we find the roots to be r = ±6.

Since the roots are distinct and real, the general solution for the homogeneous equation is given by:

\(y_h = C_1e^{6x} + C_2e^{-6x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

The term cosh(3x) can be written as a linear combination of exponential functions using the identities:

\(cosh(ax) = (e^{ax} + e^{-ax})/2, \\\\sinh(ax) = (e^{ax} - e^{-ax})/2.\)

Therefore, \(cosh(3x) = (e^{3x} + e^{-3x})/2.\)

Now, we assume the particular solution has the form:

\(y_p = A_1e^{3x} + A_2e^{-3x}\)

where A₁ and A₂ are undetermined coefficients.

Substituting these derivatives into the original differential equation, we get:

\((9A_1e^{3x} + 9A_2e^{-3x}) - 36(A_1e^{3x} + A_2e^{-3x}) = (e^{3x} + e^{-3x})/2.\)

To satisfy this equation, the coefficients of the exponential terms on both sides must be equal. Therefore, we have the following system of equations:

9A₁ - 36A₁ = 1/2,

9A₂ - 36A₂ = 1/2.

Solving these equations, we find A₁ = -1/70 and A₂ = -1/70.

Thus, the particular solution is:

\(y_p = (-1/70)e^{3x} + (-1/70)e^{-3x}\)

Finally, the general solution for the given differential equation is the sum of the complementary function and the particular solution:

\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

To know more about differential equation here

https://brainly.com/question/30074964

#SPJ4

The rate of increase in the volume of sphere when  diameter is 100 mm is 94285.71 mm³/s.

Let the radius of the sphere be 'r'.

The radius of a sphere is increasing at a rate of 3 mm/s .

Then,

dr / dt = 3 mm/s

Volume of sphere is given as;

v = 4/3 π r³

Then, the change is volume is;

dv / dt = (4/3)  π 3r² .dr/dt

         = 4πr² x 3

         = 12πr²

For radius = 100/2 mm = 50 mm

dv / dt  = 12 x 22/7 x 50²

dv / dt  = 94285.71 mm³/s

Thus, the rate of increase in the volume of the sphere when diameter is 100 mm is 94285.71 mm³/s.

To know more about the rate of volume increase, here

https://brainly.com/question/22716418

#SPJ4

Answer:

(B) Two number is the answer of your question.

Answer:

x = 4, x = -4

Step-by-step explanation:

Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

Vector equation of the line tangent to the graph of r(t) at the point p0 on the curve r(t) = (3t - 1) i + 13t j + 4 k.

To find a vector equation of the line tangent to the graph of r(t) at the point P0 on the curve r(t) = (3t - 1) i + 13t j + 16 k, where P0 is given as (-1,4), we can use the following steps:

Step 1: Find the derivative of r(t) with respect to t:

r'(t) = 3 i + 13 j

Step 2: Evaluate the derivative at the point P0:

r'(-1) = 3 i + 13 j

Step 3: Use the point P0 and the vector r'(-1) to form the vector equation of the tangent line:

r(t) = P0 + r'(-1) t

where t is a scalar parameter.

Plugging in the values, we get:

r(t) = (-1)i + 4j + (3i + 13j)t

Simplifying, we get:

r(t) = (3t - 1) i + 13t j + 4 k

Therefore, the vector equation of the line tangent to the graph of r(t) at the point P0 on the curve

r(t) = (3t - 1) i + 13t j + 16 k  is

r(t) = (3t - 1) i + 13t j + 4 k.

Learn more about Tangent line

brainly.com/question/31326507

#SPJ11

Answer: I believe the answer is C

A variable is assembled which functions as a placeholder for various expressions or qualities.

43 days are required on average to read 5 pages daily.

Given that the total number of pages is 300 and Tom has read 85 pages this means he has 300-85=215 pages unread. We are told that if he reads 5 pages per day how many days would he be done with the 215 pages left.

To solve for the number of days left, we have to divide  215 by 5

=  215  /  5

=   43 days

So Tom needs 43 days to read the 215 pages left and return the book to the Library.

To know more about the average follow

https://brainly.com/question/20118982

#SPJ1

The formula for the general term an of the sequence is an = 2n + 3.

Given that the pattern of the first few terms continues.

To find a1, we can substitute n=1 in the formula and use the first term of the sequence, which is 5:

a1 = 5

Therefore, the general term of the sequence is:

an = 5 + 7(n-1) = 7n - 2

The given sequence has a common difference of 7 that is each term in the sequence is obtained by adding 7 to the previous term.

Therefore, the formula for the general term an can be obtained as:

an = a1 + (n - 1)d

where a1 is the first term of the sequence and d is the common difference.

Here, a1 = 5 and d = 7. Substituting these values in the formula, we get:

an = 5 + (n - 1)7

Simplifying this expression, we get:

an = 2n + 3

Therefore, the formula for the general term an of the sequence is          an = 2n + 3

Know more about sequence here:

https://brainly.com/question/7882626

#SPJ11

Answer:

\(a^4b^{-5}\text{ or }\frac{a^4}{b^5}\)

Step-by-step explanation:

\(\displaystyle \frac{a^2b^{-3}}{a^{-2}b^2}=a^{2-(-2)}b^{-3-2}=a^4b^{-5}=\frac{a^4}{b^5}\)

Answer:

Step-by-step explanation:

x      - the number

x + 10   - the sum of the number and ten

4×(x + 10)    - four times the sum of the number and ten

4×(x + 10) = 60

          ÷4         ÷4

   x + 10 = 15

      -10       -10

     x = 5

Answer:

6.5a-26

Step-by-step explanation:

You have to use the distributive property and multiply each term inside the parentheses by 6.5. By doing this you turn 6.5(a-4) into (6.5)(a)-(6.5)(4). You can then simplify this into 6.5a - 26

Answer:

6.5a-26

Step-by-step explanation:

We are given the expression:

6.5(a-4)

If we want to simplify this expression, then we must use the distributive property.

To distribute, multiply each term inside the parentheses by the number outside the parentheses.

(6.5*a) + (6.5*-4)

Multiply

6.5a+ (6.5*-4)

6.5a+ -26

A +- can be written as just -

6.5a-26

If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

To know more about laws of physics refer here:

https://brainly.com/question/13966796

#SPJ11

Answer:

1/3x +2/3 = y

Step-by-step explanation:

y= 3x-2

To find the inverse, exchange x and y

x = 3y-2

And solve for y

x+2 = 3y-2+2

x+2 = 3y

Divide by 3

1/3(x+2) = 1/3(3y)

1/3x +2/3 = y

Answer:

14 days for 4 and 28 days for 8 and 42 for 12

Step-by-step explanation:

dobbke them to get your answer

Answer:

PLEASE ANSWER MY QUESTION AS WELL :)

HERE R UR ANSWER:

Day 2 = 14

Skateborads painted:

Day 3: 28 = 8

Day 4: 42 = 12

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2 divided by 2

Answer:

1 table

Step-by-step explanation:

2 x 0.5 = 1

Hope this helps!

Answer:

Yes. Prowess leads to a sense of pride.

Step-by-step explanation:

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

D. 5,322

Step-by-step explanation: 5280 feet in 1 mile, 42 feet in 14 yards

Answer:

D: 5,322

Step-by-step explanation:

There are 5280 feet in a mile and 42 feet in 14 yards add them and you get 5,322

The true statements from the given information are:

From the two-way frequency table of the dataset, we have the following highlights

From the above highlight, we can conclude that options (b) and (c) are correct

Learn more about two-way frequency table on:

https://brainly.com/question/16148316

Answer:

B, C, E on edge2022

Step-by-step explanation: