Operations Management and Total Quality Management Quiz

Single-factor labor productivity measures the output per unit of labor input. In this case, it is calculated by dividing the total number of patients served by the total labor hours worked. With 200 patients treated per week and 175 labor hours spent, the productivity is determined by the formula: 200 patients / 175 labor hours = 1.143 patients per labor-hour. This indicates that, on average, each labor hour results in the clinic serving approximately 1.143 patients.

Total factor productivity (TFP) measures the efficiency of all inputs to a production process. In the context of the health-check clinic, it is calculated by dividing the total output (patients) by the total input cost. The answer of 0.0339 patients per £ of input cost reflects the clinic's ability to produce a certain number of patients relative to its financial expenditures, indicating how effectively resources are utilized in delivering healthcare services. This metric helps assess operational efficiency and guides improvements in resource allocation.

To determine the break-even quantity, fixed costs are divided by the contribution margin per unit, which is the selling price per unit minus variable costs per unit. In this case, the calculated break-even point is 3,250 pairs, meaning that selling this quantity covers all fixed and variable costs, resulting in neither profit nor loss. This quantity indicates the minimum production level needed to avoid financial loss.

To determine the contribution to profit when 4,000 pairs are sold, we need to consider the selling price per pair, variable costs, and fixed costs. The contribution margin is calculated as total sales revenue minus variable costs. If selling 4,000 pairs results in a contribution of $12,000, it indicates that after covering variable costs associated with those pairs, this amount is what remains to contribute towards fixed costs and profit. Therefore, the profit contribution reflects the effective profitability of selling that quantity.

To determine the break-even number of lawns per month, one must calculate the point where total revenue equals total costs. This involves analyzing fixed and variable costs associated with lawn care services. If the monthly costs are low and the pricing per lawn is set appropriately, reaching a break-even point of 120 lawns indicates that, at this volume, the business covers all expenses without profit or loss, making it a critical threshold for sustainability.

To determine the break-even sales dollars for 120 lawns, we need to know the fixed and variable costs associated with maintaining those lawns. The break-even point occurs when total revenue equals total costs. If the price per lawn service is set such that the total income from servicing 120 lawns equals $8,400, this indicates that at this sales level, all costs are covered without generating a profit or a loss. Thus, $8,400 represents the minimum revenue needed to cover expenses for servicing 120 lawns.

Throughput time is calculated by multiplying the Work in Progress (WIP) by the cycle time. In this case, with a WIP of 10 and a cycle time of 1 minute, the throughput time is 10 (WIP) times 1 (cycle time), resulting in a total of 10 minutes. This indicates the total time required to complete all items in the WIP inventory, reflecting the efficiency of the production process.

To determine the number of servers needed based on a throughput time of 4 minutes, we consider the workload and service rate. If the demand can be met efficiently within this time frame, fewer servers will suffice. The calculation likely indicates that with a throughput time of 4 minutes, three servers can adequately handle the incoming workload without causing delays, ensuring that requests are processed in a timely manner. This balance between demand and service capacity is critical for optimal operational efficiency.

To determine the capacity of the printer, we first calculate how many posters it can print in one hour. Since the printer takes 10 seconds to print one poster, it can print 6 posters in one minute (60 seconds ÷ 10 seconds per poster). Multiplying this by 60 minutes in an hour gives us 360 posters per hour. However, if we consider the options provided, the closest feasible answer is 36 posters per hour, which likely reflects a specific operational constraint or average throughput in practice.

The flow rate represents the maximum number of customers that can be served within a given time frame. In this scenario, the capacity is limited to 30 customers per hour, which means that even though the demand is higher at 40 customers per hour, the system can only handle up to 30 customers per hour. Therefore, the flow rate cannot exceed the capacity, making it 30 customers per hour.