Ziegler Inc. has decided to use the high-low method to estimate the total cost and the fixed and variable cost components of the total cost. The data for various levels of production are as follows: Units Produced Total Costs 855 $143,640 1,910 168,860 2,755 223,440 a. Determine the variable cost per unit and the total fixed cost. Variable cost: (Round to the nearest dollar.) $ per unit Total fixed cost: $ b. Based on part (a), estimate the total cost for 1,300 units of production. Total cost for 1,300 units: $

Variable cost per unit = $42 per unit

Total fixed cost = $107,730

Total cost for 1,300 units = $162,330

Explanation:

Mathematically;

Variable cost per unit=[Total cost at highest level-Total cost at lowest level]/(Highest level-Lowest level)

From the question;

Total cost at highest level = 223,440

Total cost at lowest level = 143,640

Highest level = 2755

lowest level = 855

Substituting these values, we have;

Variable cost per unit = (223,440-143,640)/(2755-855) = 79,800/1900 = $42 per unit

Fixed costs = Total cost at highest level- ( variable cost per unit * units produced at highest level) = 223,440-(42 * 2755) = 107,730

Total cost for 1,300 units

Total cost = Fixed cost + Variable cost per unit(number of units)

= $107,730 + 42(1,300) = $162,330