••• 1.14 A production operation is making 150 pieces of a product by engaging 5 workers for 300 hours. However, 40% of the units appear to have various quality problems and the company decides to sell them as seconds at a price of €50 each when the normal unit is sold for €150 each. What is the productivity of the company? In an effort to improve the situation, a number of initiatives were proposed, including a scheme where, for every improvement, 50% will be given to workers and the other 50% will be held by the company. This results in a significant drop in defects as now only 10 units were faulty out of an output of 130 units. What is the new productivity of the company, and what will be the earnings per hour of the workers under the bonus scheme if the cost per unit is €70 both before and after the scheme?

Respuesta :

1. The current productivity of the company is €11 per labor hour.

2. The new productivity of the company under the bonus scheme is €11.67 per labor hour.

3. The earnings of the workers per unit before the bonus scheme is €7.00.

4. The earnings of the workers per unit under the bonus scheme is €7.67.

What is productivity?

Productivity is the measurement of the output per unit of input per unit.

Productivity can be computed for these production resources: labor, capital, or others.  In this case, productivity is the revenue realized per hour of labor.

Data and Calculations:

Production units = 150

Estimated selling price = €150

Estimated total sales revenue based on total units = €22,500 (€150 x 150)

Defective units = 60 units (150 x 40%)

Lost revenue from defective units = €6,000 (60 x €150 - €50)

Total realizable revenue = €16,500 ($22,500 - $6,000)

Total labor hours used = 1,500 hours (300 x 5)

Current productivity = €11 per labor hour (€16,500/1,500)

New production units = 130 units

New revenue based on improvement = €18,500 (120 x €150 + 10 x €50)

Improvement in productivity in dollar terms = €2,000

Improvement given to workers = €1,000 (€2,000 x 50%)

Total realized revenue by the company = €17,500

New productivity = €11.67 per labor hour (€17,500/1,500)

Cost per unit = €70

Total cost or earnings before improved productivity = €10,500 (€70 x 150)

Additional bonus = €1,000

Total earnings after improved productivity = €11,500 (€10,500 + €1,000)

Earnings per unit before the bonus scheme = €7.00 (€10,500/1,500)

Earnings per unit under the bonus scheme = €7.67 (€11,500/1,500)

Thus, before the improvement in productivity, the earnings per unit for workers was €7.00, but this increased to €7.00 after the improvement in productivity.

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