Based on the construction below, which of the following statements is NOT true?

Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle o

NNADVOKAT [17]

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;

$\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}$

$\displaystyle S= \frac{3}{2} \cdot J$

Therefore;

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

Which gives;

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

$\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579$

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

Learn more about simultaneous equations here:

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7 0

2 years ago

The City Housing Authority has received 50 applications from qualified applicants for eight low-income apartments. Three of the

OlgaM077 [116]

The probability that both specific qualified applicants will be among the eight selected is given by:
$P(2\ specified)=\frac{2C2\times 48C6}{50C8}=0.0229$
The probability that the two will get apartments on the North side is given by:
$P(North)=\frac{3C2\times5C0}{8C2}=0.107$
The probability that the two will get apartments on the South side is given by:
$P(South)=\frac{5C2\times3C0}{8C2}=0.357$
The events '2 apartments on North side' and '2 apartments on South side' are mutually exclusive. Therefore the probability the two specific qualified applicants will be on the same side of town is 0.107 + 0.357 = 0.464.
Finally, the probability that two specific qualified applicants will be selected for apartments on the same side of town is found from:
$0.0229\times0.464=0.01063$

4 0

2 years ago

Read 2 more answers

PLEASE HELPPP!!! THIS SHOULD BE EASY!

cupoosta [38]

Answer:

yes she can

Step-by-step explanation:

6 0

2 years ago

The diagram shows a trapezium. Work out the area of the trapezium.

pantera1 [17]