A producer of felt-tip pens has received a forecast of demand of 31,000 pens for the coming month from its marketing department. Fixed costs of $25,000 per month are allocated to the felt-tip operation, and variable costs are 40 cents per pen. Find the break-even quantity if pens sell for $4 each. (Round your answer to the next whole number.)

the break-even quantity is 6944

Step-by-step explanation:

Let x represent the break-even quantity.

Fixed costs of $25,000 per month are allocated to the felt-tip operation, and variable costs are 40 cents(40/100 = $0.4) per pen. This means that the total cost of producing x pens for the forth coming month would be

0.4x + 25000

if pens sell for $4 each, it means that the total revenue from selling x pens would be

4x

At the point of break even, the total cost = total revenue

Therefore,

4x = 0.4x + 25000

4x - 0.4x = 25000

3.6x = 25000

x = 25000/3.6

x = 6944 to the nearest whole number

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

the correct answer is the second option