Frank Corporation manufactures a single product that has a selling price of $25.00 per unit. Fixed expenses total $64,000 per year, and the company must sell 8,000 units to break even. If the company has a target profit of $19,000, sales in units must be:.a. 9,648b. 8,760c. 10,375d. 10,560

Break-even point in units= 10,375

Explanation:

Giving the following information:

Selling price= $25

Fixed cost= $64,000

Break-even point in units= 8,000

First, we need to determine the unitary contribution margin:

Break-even point in units= fixed costs/ contribution margin per unit

8,000 = 64,000 / contribution margin per unit

contribution margin per unit8,000= 64,000

contribution margin per unit= 64,000 / 8,000

contribution margin per unit= $8

Now, the number of units to be sold to make a profit of $19,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (64,000 + 19,000) / 8

Break-even point in units= 10,375

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.