He cost for producing a certain product is $37 each. the fixed costs are $70,000. the selling price for each product is $72. 1. what is the revenue function? a. r(x) = 37x – 70,000 b. r(x) = 37x c. r(x) = 72x + 70,000 d. r(x) = 72x – 70,000 e. r(x) = 72x 2. what is the profit function? a. p(x) = 72x – 70,000 b. p(x) = 35x – 70,000 c. p(x) = 37x + 70,000 d. p(x) = 35x + 70,000 e. p(x) = 72x + 70,000 . 3. what is the break-even quantity? a. 2,500 b. 4,800 c. 1,846 d. 2,000 e. 4,500 4. what is the break-even point

Instructions are listed below

Explanation:

Giving the following information:

The Variable unitary cost= $37 each.

The fixed costs are $70,000.

The selling price for each product is $72.

1) revenue function= P*X

Revenue function= 72*x

Option E

2) Profit function= (P-Vc)*X-Fc

Profit function= 35*x-70000

Option B

3) break-even quantity= fixed costs/contribution margin

break-even quantity= 70000/35= 2000 units

Option D

4)  break-even point ($)=fixed costs/contribution margin ratio

Contribution margin ratio= contribution margin/P= 0,49

break-even point ($)=70000/0,4861111= $144000

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.

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