Question

A retail store had sales of $44,900 in April and $55,000 in May. The store employs eight full-time workers who work a 40-hour week. In April the store also had eight part-time workers at 12 hours per week, and in May the store had eleven part-timers at 17 hours per week (assume four weeks in each month). Using sales dollars as the measure of output, what is the percentage change in productivity (dollars output per labor hour) from April to May

Answer 1

0.52%

Step-by-step explanation:

Productivity in April = $44,900 / (((8*40) + (8*12)) * 4)

Productivity in April = $44,900 / ((320 + 96) * 4)

Productivity in April = $44,900 / (416 * 4)

Productivity in April = $44,900 / 1664 hours

Productivity in April = $26.98 per hour

Productivity in May = $55,000 / (((8*40) + (11*17)) * 4)

Productivity in May = $55,000 / ((320 + 187) * 4)

Productivity in May = $55,000 / (507 * 4)

Productivity in May = $55,000 / 2028 hours

Productivity in May = $27.12 per hour

% increase in productivity per hour = ($27.12 - $26.98) / $26.98

% increase in productivity per hour = $0.14 / $26.98

% increase in productivity per hour = 0.0052

% increase in productivity per hour = 0.52%