Palm, which uses the high-low method, had an average cost per unit of $40 at its lowest level of activity when sales equaled 1,600 units and an average cost per unit of $31.00 at its highest level of activity when sales equaled 3,200 units. Palm would estimate fixed costs as:

Respuesta :

Using the high-low method of calculating costs, Palm will estimate the fixed cost element as $28,800.

Calculation of Fixed Cost Using the High-Low Method

The fixed cost can be estimated as follows:

1) Calculation of variable cost elements

Total cost at a particular level of activity = Average cost per unit * units ………………… (1)

Using equation (1), we have:

Total cost at the lowest level of activity = $40 * 1,600 = $64,000

Total cost at the highest level of activity = $31 * 3,200 = $99,200

Variable cost per unit = (Total cost at the lowest level of activity - Total cost at the lowest level of activity) / (Highest Units - Lowest Units) = ($99,200 - $64,000) / (3,200 - 1,600) = $35,200 / 1,600 = $22

Therefore, the variable cost element is $22 per unit.

2) Calculation of fixed cost elements

Total cost = Total Fixed Cost + Total Variable Cost ................. (2)

Where;

Total Variable Cost = Variable cost unit * Units at a particular Total Cost

Using the highest unit with its total cost and substituting into equation (2), we have:

$99,200 = Total Fixed Cost + ($22 * 3,200)

$99,200 = Total Fixed Cost + $70,400

Total Fixed Cost = $99,200 - $70,400

Total Fixed Cost = $28,800

Therefore, Palm will estimate the fixed cost element as $28,800.

Learn more about the high-low method at: https://brainly.com/question/26247896.