Teoría de Colas: Análisis económico - Lq (Caso MUSEO)

Cost Analysis of Guided Tours at an Ecological Museum

Overview of the Situation

• The museum currently operates with 6 guides, each representing a day of service. Visitors are grouped based on their scheduled tours, and there is a waiting area for groups awaiting their turn.

• The administrator is considering hiring an additional guide (7th) to improve service efficiency due to potential customer dissatisfaction from long wait times.

Cost Components

• Total cost formula includes:

• Service costs: daily operational costs multiplied by the number of guides.

• Opportunity cost (CW): financial loss from unsatisfied customers who leave without spending money, calculated by multiplying the number of dissatisfied clients by the average loss per client.

• Only customers in line contribute to opportunity costs since those already served have paid for their visit and are less likely to leave.

Current Visitor Statistics

• The museum can accommodate approximately 10 visitor groups per day with its current setup of 6 guides. This translates into a visitor arrival rate of about 6 groups per hour during peak times, leading to a total of around 48 groups arriving daily (6 groups/hour * 8 hours).

Cost Calculation for Guides

• Each guide's monthly salary is set at 1,800 soles, with additional material costs (e.g., brochures) amounting to around 60 soles per guide per day.

• Monthly operational days are limited to 25 days; thus, total monthly cost for one guide becomes:

• Salary: 1800 text soles times 25/30 = 1500 text soles

• Total monthly cost including materials: 1500 + (60 times 25) = 3300 text soles.

Revenue Loss Estimation

• Daily revenue loss due to customer dissatisfaction is estimated at around 100 soles from visitors who leave before being served.

Cost Analysis of Server Operations

Average Group Wait Times and Costs

• The average number of groups waiting is presented, indicating that with a team for 6 servers, there are approximately 2.07 average groups waiting, totaling 24 groups.

Total Cost Calculation for Six Servers

• The total cost formula is introduced: total cost = server cost (3300) * number of servers (6) + opportunity cost (2500) * average wait time (2.07). This results in a monthly operational cost of 24,198.1 soles.

Impact of Increasing to Seven Servers

• With seven servers, the situation remains unchanged; still serving 48 groups per day without any modifications to operations or costs. Monthly costs remain at 3,300 soles while losing an average of 2,500 soles due to customer dissatisfaction.

Data Interpretation and Calculations

• A detailed breakdown shows the calculation using the server cost (3300), number of servers (7), and opportunity cost based on client queue averages (0.60). This leads to a recalculated monthly operational expense.

Economic Advantage Assessment

• The final calculated total comes out to be approximately 24,616.25 soles when operating with seven servers. The analysis concludes that the economically advantageous option for the museum would be maintaining lower operational costs at around 24,616 soles per month.

Recommendation Based on Findings