question archive Pens are sold in a local store for 80 cents each

Pens are sold in a local store for 80 cents each

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Pens are sold in a local store for 80 cents each. The factory has $1200 in fixed costs plus 5 cents of additional expense for each pen made. Assuming all pens manufactured can be sold, find the break even point.

 

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Answer:

The break even point is 1600 pens.

Cost of making n pens = $1200 + $0.05n

Revenue from selling n pens = $0.80n

At break-even point, cost = revenue.

$0.80n = $1200 + $0.05n

$0.75n = $1200

n = 1200/0.75 = 1600

You break even when you have manufactured and sold 1600 pens