Kent manufacturing produces a product that sells for $50.00 and has variable costs of $24.00 per unit. fixed costs are $260,000. kent can buy a new production machine that will increase fixed costs by $11,400 per year, but will decrease variable costs by $3.50 per unit. compute the revised break-even point in units if the new machine is purchased.

a. 10,000 units.
b. 10,438 units.
c. 9,869 units.
d. 9,200 units.
e. 8,814 units.

d. 9,200 units.

Explanation:

The computation is shown below for break-even points in units:

= (Fixed expenses ) ÷ (Contribution margin per unit)  

where,  

Fixed costs = $260,000 + $11,400 = $271,400

Contribution margin per unit = Selling price per unit - variable cost per unit

= $50 - $20.5

= $29.5

Now put these values to the above formula  

So, the units would equal to

= $271,400 ÷ $29.5

= 9,200 units

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

answer: b 56, 250

explanation: