69/8 as a mixed number

0riginal break even point:

285000/ 60/35 = $166,250

New break even point = new fixed costs / ( selling price - variable cost/ selling price)

New break even point = 285,000 + 15,900. / ( 60-( 35-4.50)/60

300,900 / 60-30.50/60 = $612,000

The new break even point increases.

Final answer:

With the new machine, Kent Co.'s break-even point in units would decrease, from 11,400 to 10,200 units. Despite increasing fixed costs, the new machine drives down variable costs, effectively lowering the total number of units needed to cover costs.

Explanation:

The concept under consideration here is the break-even point calculation in unit terms. The break-even point (units) is calculated by dividing the total fixed costs by the contribution margin per unit, which is sales price per unit minus variable cost per unit.

Currently, Kent Co.'s break-even point can be found using its original costs:

• Fixed costs: $285,000
• Sales price per unit: $60
• Variable cost per unit: $35
• Contribution margin per unit: $60 - $35 = $25
• Break-even point (units): $285,000 / $25 = 11,400 units

If Kent were to purchase the new machine, its costs would alter as follows:

• New fixed costs: $285,000 + $15,900 = $300,900
• New variable cost per unit: $35 - $4.50 = $30.50
• New contribution margin per unit: $60 - $30.50 = $29.50
• New break-even point (units): $300,900 / $29.50 = 10,200 units

Thus, purchasing the new machine would in fact lower Kent Co.'s break-even point to 10,200 units, thereby improving its cost efficiency.

Learn more about Break-Even Point here:

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Step-by-step explanation:

-5/8 + 3/4

= -5/8 + 6/8

=1/8

The mean is the average median is the middle value of the data set while the mode is the highest frequency number thus mean median and mode are 98.39,98.35 and 98 respectively.

What are the mode and median?

Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.

The increasing order of the given dataset,

98.0,98.0,98.0,98.1,98.2,98.5,98.6,98.7,98.8,99.0

Mean →

(98.0+98.0+98.0+98.1+98.2+98.5+98.6+98.7+98.8+99.0 )/10

⇒ 98.39

Median →

(98.2+98.5)/2 = 98.35

Mode →

The highest frequency of 98.

Hence "The mean is the average median is the middle value of the data set while the mode is the highest frequency number thus mean median and mode are 98.39,98.35 and 98 respectively".

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Answer:

Mean: 98.49

Median: 98.35

Mode: 98

Answer:

48m

Step-by-step explanation:

Formula: lwh

4*2*6=48m

Answer:

48

Step-by-step explanation:

Answer:

a system of equations , as below

Step-by-step explanation:

4y-x

2x-4

x+y

use any two of the above to find a formula for one of the variables since they are all equal to each other.. btw.. it makes it much easier .. that they are all equal.  :)

2x-4=x+y ⇒ x-4=y   use this to plug into the y in the top formula

4(x-4)-x=2x-4 ⇒ 4x-16-x=2x-4 ⇒ 3x-16=2x-4 ⇒ x=12  yay! ;) now plug in 12 for x

2(12)-4=(12)+y ⇒ 24-4 = 12 +y ⇒ 8=y   yay ! now we have both x and y

x=12

y= 8

this checks by plugging in the two number found for x & y  (btw I had to try this about 4 times ) :P  I kept messing up the algebra  which is soooo easy to mess up.