A producer of felt-tip pens has received a forecast of demand of 41,000 pens for the coming month from its marketing department. Fixed costs of $26,000 per month are allocated to the felt-tip operation, and variable costs are 35 cents per pen. a. Find the break-even quantity if pens sell for $1 each.
b. At what price must pens be sold to obtain a monthly profit of $16,000, assuming that estimated demand materializes?

Answer and Explanation:

The computation is shown below:

a. The break even quantity is

= Fixed cost ÷ (selling price per unit - variable cost per unit)

= $26,000 ÷ ($1 - 0.35)

= $26,000 ÷ 0.65

= 40,000

b. The price is

Let us assume the price per pen  be x

As we know that

Profit = Revenue - costs

$16,000 = (x)(41,000) - $26,000 - .35(41,000)

$16,000 = 41,000x - 40,350

$56,350 = 41,000x

x = $1.37

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