Mason company manufactures and sells shoelaces for $2.00 per pair. its variable cost per unit is $1.70. mason's total fixed costs are $10,500. how many pairs must mason company sell to break even? a. 5,250.b. 6,176.c. 35,000.d. 52,500.e. 61,760.

35,000 units

Explanation:

Data provided in the question:

Selling price = $2.00 per pair

Variable cost per unit = $1.70

Mason's total fixed costs = $10,500

Now,

Break even in units = ( Fixed cost ) ÷ ( Contribution per unit )

Also,

Contribution per unit = Selling price per unit - Variable cost per unit

= $2.00 - $1.70

= $0.30

thus,

Break even in units = $10,500 ÷ $0.30

= 35,000 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.

i think the answer is a. dependable person

i hope this is right!