Mathematics High School

Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle of apple juice. Due to the nature of the process and contractual agreements, Calvin’s facility must make and sell three jars of applesauce for every two bottles of apple juice. A jar of applesauce sells for $2. 20, and a bottle of apple juice sells for $3. 15. If the facility has annual overhead costs of $368,500, not including production costs, how many bottles of apple juice will the facility have sold when it breaks even every year? Round to the nearest whole bottle, if necessary. A. 38,789 b. 77,579 c. 116,368 d. 167,500.

Answers

Answer 1

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

When the facility breaks even, it would have sold 77,579 bottles of apples juice.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

[tex]\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}[/tex]

[tex]\displaystyle S= \frac{3}{2} \cdot J[/tex]

Therefore;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}[/tex]

Which gives;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500[/tex]

[tex]\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579[/tex]

The number of bottles of apple juice sold, J ≈ 77,579 bottles

Learn more about simultaneous equations here:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

214.

Step-by-step explanation:

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so area of a triangle =1/2 base times height

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

if p(q) = q^2 4q- 12 then what is p(-1)

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the solution:

(1): "q2" was replaced by "q^2".

Step by step solution :

STEP
1
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1.1 Factoring q2-4q-12

The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
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Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .

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Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
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Step-4 : Add up the first 2 terms, pulling out like factors :
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Add up the last 2 terms, pulling out common factors :
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Equation at the end of step
1
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(q + 2) • (q - 6) = 0
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2
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Theory - Roots of a product

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Solving q2-4q-12 = 0 directly
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3.1 Find the Vertex of y = q2-4q-12

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Answer:

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Doubt clarification - use comment section.

Which of the functions below could have created this graph? O A. F(x) = - x ^ 0 + x ^ 3 - x ^ 2 O B. F(x) = - x ^ 2 + 4x ^ 3 - 2x ^ 2 C. F(x) = x ^ 9 + 12x ^ 8 + x ^ 7 D. F(x) = x ^ 2 + 4x ^ 4 + 20x ^ 2

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Answer:

B

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A graph can be defined as a pictorial representation or a diagram that represents data or values.

To create a graph of the function F(x) = - x⁷ + 4x³ - 2x², you can follow these steps:

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Plot the points (x, y) on a coordinate plane. For example, you would plot the point (-1, 5) on the coordinate plane.

Connect the points with a smooth curve to create the graph of the function.

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brainly.com/question/16608196

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Answer:

There is one solution to this system of equations

Step-by-step explanation:

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y = 4x + 3


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Answers

Answer:

The answer is the 1st option, y = 4x + 3

Step-by-step explanation:

x is the amount of days that the 4 dollars will be multiplied by

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The + 3 is the money that George already had in his savings account, so that money will be added to the total amount in his savings account.

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Answers

Because M is the midpoint of segment AT
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Answers

Based on the amount being made by Manolo and Annalisa every day, the amount both made on the various days were:

Annalisa made 8 bags on Day 1Manolo had made 40 bags by Day 3

Annalisa is said to have made 8 bags on the first day so this is the number of bags that should be put in the table for having been made in the first day.

Manolo made 16 bags on the first day and then 12 bags each day after that. The total number of bags made by the third day by Manolo would be:

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Find out more about this at https://brainly.com/question/11864663.


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Step-by-step explanation:

Answer:

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