A firm is currently producing 5 units at a total cost of 500 the firm is considering increasing production to 6 units and observes this increase in production will cost an additional 80 versus an additional revenue of 90.

The firm will increase production in this case

Explanation:

Producer is at equilibrium when : Marginal Revenue MR = Marginal Cost MC

Case of MR i.e 90 > MC i.e 80 depicts additional production profitability, so production will be increased.

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.