Question

A labor-intensive process has a fixed cost of $338,000 and a variable cost of $143 per unit. A capital-intensive (automated) process for the same product has a fixed cost of $1,244,000 and a vari-able cost of $92.50 per unit. How many units must be produced and sold at $197 each for the auto-mated process to be preferred to the labor-intensive process

Answer 1

the 17,941 units should be produced and sold

Step-by-step explanation:

The computation of the number of units that should be generated and sold is shown below:

Let us assume the number of units be n

Now as we know that

Total labor cost = variable cost + fixed cost

So the equations are

For labor intensive = $33,8000 + 143 n

And

For capital intensive = $1,244,000 + $92.5n

It could be written as

$1,244,000 + $92.5 n < $338,000 + $143 n

After solving it

n> 906,000÷ 50.5

n>17941

And,

$1,244,000 + $92.5 n < 197 n

After solving it

n>$1,244,000 ÷ 104.5

n>11,904

So the highest is 17,941

Therefore the 17,941 units should be produced and sold