Answer:
The cost function is:
Mixed cost = 3.75x + 1375
Explanation:
A mixed cost is a cost that contains an element of both the fixed and the variable cost in it. The variable element per unit in a mixed cost can be calculated using the high low method. The formula for variable cost per unit under the high low method is,
Variable cost per unit = ( Cost at highest activity level - Cost at lowest activity level) / ( units of highest activity level - units of lowest activity level)
The units of activity level here are <u>hours</u>. The highest activity level here is 10300 hours and the lowest activity level here is 5500 hours.
The variable cost per hour = (40000 - 22000) / (10300 - 5500)
Variable cost per hour = $3.75
The total fixed cost in this mixed cost = 22000 - (3.75 * 5500) = $1375
Thus the cost function is = 3.75x + 1375
Where x is the number of hours