A. to maximize its profits, the firm should produce units and charge a price of $ .
b. at the profit-maximizing level of output, average total cost per unit $ .
c. at its profit-maximizing level, profits $ .

A) where the firm's marginal revenue equals its marginal cost.

B) average total cost per unit should equal the marginal cost per unit.

C) at their highest level.

Explanation:

Profit maximizing levels where marginal revenue = marginal cost, is applicable to every type of company regardless in what type of market they operate, e.g. perfect competition, monopoly, monopolistic competition, etc.

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.