What number is one fourth of the way between 4 and 12.4

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:

brainly.com/question/10724274

7 0

2 years ago

During the first month of sales, a company sold 1,300,000

schepotkina [342]

The right answer is Option C.

Step-by-step explanation:

Given,

Smartphone sold = 1300000 units

Smartphones returned = 15%

No. of smartphones returned = 15% of smartphones sold

No. of smartphones returned = $\frac{15}{100}*1300000$

No. of smartphones returned = 0.15*1300000 = 195000 units

As sales and return rate remains same, therefore,

Returns in 6 months = 6*per month returns

$Returns\ in\ 6\ months=6*195000=1170000\ units$

1170000 units will be returned to the company during 6 months.

The right answer is Option C.

Keywords: multiplication, return rate

Learn more about multiplication at:

#LearnwithBrainly

5 0

3 years ago

2 and 5. What is the LCM?

Masja [62]

Well, first of all, LCM means Lowest Common Multiple. So you have to write out the factors of each of the numbers. So that will be;
2= 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
5=5, 10, 15, 20
So now, you have to pick out the numbers that are common to both numbers. So;
10, 20
10 and 20 are the only common numbers. So you have to look for the lowest common number. And that is 10. So the LCM is 10.. Hope i helped. Have a nice day.

5 0

3 years ago

How do I solve this??? It’s the radicals that confuses me.

son4ous [18]

This problem cannot be solved but I solved the radical for you