Answer:
If output rises to 57,000 units, what will the percentage change in operating cash flow be?
What is the operating cash flow at 46,000 units?
The degree of operating leverage (at 46,000 units)?
Explanation:
degree of operating leverage = [quantity x (price - variable costs)] / {[quantity x (price - variable costs)] - fixed costs}
degree of operating leverage x {[quantity x (price - variable costs)] - fixed costs} = [quantity x (price - variable costs)]
3.21 x {[53000 x (contribution margin)] - fixed costs} = [53000 x (contribution margin)]
(3.21 x 53000 x contribution margin) - (3.21 x 175000) = 53000 x contribution margin
let C = contribution margin
170130C - 561750 = 53000C
117130C = 561750
C = 561750 / 117130 = 4.795953
operating cash flow (at 53,000) = (53,000 x $4.795953) - $175,000 = $79,185.52
operating cash flow (at 57,000) = (57,000 x $4.795953) - $175,000 = $98,369.32
% change = ($98,369.32 - $79,185.52) / $79,185.52 = 24.23%
operating cash flow (at 46,000) = (46,000 x $4.795953) - $175,000 = $45,613.84
% change in operating cash flows = ($45,613.84 - $79,185.52) / $79,185.52 = -43.4%
% change in sales = (46,000 - 53,000) / 53,000 = -13.21
degree of operating leverage = $220,613.84 / $45,613.74 = 4.84
