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

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

read more on -

stop using this to cheat on home work

step-by-step explanation:

dfbvfvdf