Part Of Cedar Point Marina's Service Offer
Part Ithe Cedar Point Marina As Part Of The Service It Offers To Its
Part I: The Cedar Point Marina, as part of the service it offers to its customers, stores boats during the winter months. In addition, at the request of the customer, they will also paint the hull of the boat, which must be done every couple of years to prevent barnacles from attaching and to prolong the life of the boat. Pat, the owner, currently employs one handyperson during the summer months who does a wide variety of tasks. Pat is considering three different options of labor planning over the next winter to satisfy customer requests to care for boats needing both storage and painting, with the estimated number of hours required to paint each size boat:
- Small: 28 boats, 8 hours each
- Medium: 30 boats, 12 hours each
- Large: 18 boats, 20 hours each
Option 1: Continue employing the same handyperson during the six winter months (November to April). The person can work up to 40 hours per week for each of the 6 months (assuming a simple 4 weeks per month, totaling 24 weeks). The estimated cost of painting the boats is $35 per hour, which includes $20 for labor and $15 for materials.
Option 2: Let the handyperson go at the end of October. Hire the necessary number of workers to complete all painting in April without overtime. All workers are laid off at the end of April, except the best worker who is retained for the next summer. The hiring cost per worker is $250, and the layoff cost per worker is $350.
Option 3: Hire fewer workers in April and have all of them work some overtime. The same hiring and layoff costs apply as in Option 2. Workers can work up to 150% of a standard 40-hour week, with overtime paid at time-and-a-half ($30/hour). The goal is to complete all painting by April with overtime as needed.
Part II: Machine Purchase Decision
A manager needs to decide which machine (X, Y, or Z) to purchase for stable production. The details are:
- Machines operate 15 hours per day, 250 days per year.
- Product demands: 210, 215, 220, and 225 units annually, assumed stable.
- Setup times and processing times are provided (not specified here) for each machine.
- Machine purchasing costs: X = $30,000, Y = $35,000, Z = $55,000
- Operation costs per hour: X = $10, Y = $7, Z = $5
- Set-up and processing details: certain minutes per batch and per unit, relevant for capacity calculations — see detailed data below.
Calculations Needed:
- Determine how many of each machine type are needed, total purchase costs, capacity cushion, and recommendation based on only purchase costs.
- Assess the option of purchasing a mix of machine types and justify—considering capacity and demand flexibility.
- Calculate projected annual operating costs for each machine based on demand.
- Determine total costs (purchase + operating) for each machine as a sole type and mixed options over one and five years.
- Discuss qualitative issues beyond costs that influence decision-making, such as flexibility, maintenance, scalability, and technological fit.
- Provide a final recommendation considering all factors.
TOC Exercise:
Calculate the profit by building Product X first, then using remaining capacity for Product Y, and vice versa. Explain how purchase cost and hourly operation costs influence overall profitability and decision-making.
Solution for Part I
Option 1: Continuing with one handyman
Under this plan, the handyman works 40 hours per week for six months, totaling 24 weeks, with a maximum of 960 hours (40 hours/week × 24 weeks). The total hours required to paint all boats are as follows:
- Small: 28 × 8 = 224 hours
- Medium: 30 × 12 = 360 hours
- Large: 18 × 20 = 360 hours
Total hours required are 224 + 360 + 360 = 944 hours. Since the handyman can work up to 960 hours, this schedule is feasible within a single person’s capacity.
The cost is calculated at $35 per hour, totaling:
944 hours × $35/hour = $33,040
Option 2: Hiring new workers in April
At the end of October, the existing handyman is released. To complete the job by April (approximately 24 weeks), we need workers to provide 944 hours total. To avoid overtime, total available hours from hired workers must equate to required hours.
Assuming each worker works 40 hours weekly for 24 weeks:
Hours per worker = 40 hours/week × 24 weeks = 960 hours
The number of workers needed is:
Number of workers = Total hours needed / Hours per worker = 944 / 960 ≈ 1.00
Therefore, only one worker suffices, with purchase and layoff costs as follows:
- Hire: $250
- Layoff: $350
Total costs for this worker:
$250 (hire) + $350 (layoff) + (944 hours × $35) = $250 + $350 + $33,040 = $33,640
Option 3: Fewer workers with overtime
Assuming we hire one worker initially, and they work some overtime to meet the schedule, the maximum hours per worker is 150% of a 40-hour week, i.e., 60 hours/week for each worker. Over 24 weeks, each worker can work up to:
60 hours/week × 24 weeks = 1,440 hours
Since total hours needed are 944, one worker can cover all work with room for overtime, but we must account for overtime premiums:
Overtime pay per hour = $30 (time-and-a-half of $20 hourly wage)
The cost of the worker remains $250 hire + $350 layoff, and the cost of labor for 944 hours at regular rate is:
944 hours × $20 = $18,880
Overtime hours are minimal or none, assuming the worker's capacity is sufficient. Total costs:
Hiring + layoff costs: $250 + $350 = $600
Labor costs: $18,880
Total: $19,480
Comparison of Options
| Option | Total Cost | Feasibility | Flexibility |
|---|---|---|---|
| 1 | $33,040 | High – same worker, manageable hours | Low – limited to one worker |
| 2 | $33,640 | Medium – depends on one worker | Low – no overtime flexibility |
| 3 | $19,480 | High – with overtime, work completes quickly | High – overtime allows flexibility |
Discussion of Pros & Cons
Option 1
Pros:
- Stable staffing and predictable payroll costs.
- No need for additional hiring or layoffs; simple scheduling.
Cons:
- Potential underutilization of the worker’s capacity if workload is lighter.
- Limited flexibility; any overtime or surge capacity requires additional arrangements.
Option 2
Pros:
- Cost-effective if workload is steady and just-in-time scheduling is manageable.
- Minimizes overtime and associated costs.
Cons:
- Lack of flexibility; if work exceeds expectations, delays may occur.
- Risk of idle time for workers if demand changes.
- Layoff costs impact overall expenses.
Option 3
Pros:
- High flexibility; overtime allows completing work ahead of schedule or accommodating unexpected workload increases.
- Better utilization of workforce capacity; possible to reduce total labor hours needed.
Cons:
- Overtime costs increase expenses, but still less than hiring more workers.
- Overtime may lead to worker fatigue or lower morale if overused.
Recommendation
Based on the detailed analysis, Option 3 appears to be the most advantageous for Pat. While initial costs for hiring and some overtime premium exist, this approach offers the highest flexibility, enabling Pat to adapt to fluctuating demand and avoid delays or underutilization. The ability to work overtime reduces total labor hours needed and associated costs, and it minimizes layoffs and hiring costs. Qualitatively, this option provides better control over scheduling, employee morale, and capacity management, which are essential in a service environment like boat maintenance, where delays can impact customer satisfaction.
Part II: Machine Purchase and Cost Analysis
Cost-Only Machine Purchase Analysis
Calculating the number of machines needed requires understanding the annual demand and capacity per machine. Assuming the operating hours are:
15 hours/day × 250 days/year = 3,750 hours/year
Determine capacity for each demand level:
- For demand of 210 units/year, with setup and processing times per unit (assumed from the data), we calculate the number of batches needed and total processing time. For simplicity, assume each unit’s setup time is 6 mins, and processing time is variable per machine.
Based on the product demand and production times (not specified explicitly here), the number of machines required for each type can be estimated by:
Number of machines = Total annual processing hours needed / (Machine hours per machine).
Calculations for purchase costs and capacity cushion follow from this, where capacity cushion is the extra capacity beyond demand, typically 10–20% for flexibility.
Operating Costs Estimation
Annual operation cost per machine type is:
Hourly operation cost × annual hours
For example, machine X at $10/hour:
3,750 hours × $10 = $37,500 per year
Total Cost and Recommendations
Choosing the least costly machine based solely on purchase price and operating costs might favor machine Z, due to its lowest hourly operation cost. The total annual cost combining purchase amortization (assuming depreciation over a five-year period) plus operating expenses will be used for final decision-making. Mix purchasing can be justified if demand varies across product types and machinery provides complementary capacities.
Qualitative Considerations
- Technological compatibility with existing production processes;
- Maintenance requirements and reliability;
- Scalability and flexibility to adapt to future demand changes;
- Upgradeability and technological obsolescence;
- Supplier support and warranty conditions.
Final Recommendation
If demand is uniformly distributed, purchasing a single cost-effective machine (likely Z) balances initial and operational costs. However, a hybrid approach—buying a less expensive machine plus one or two specialized units—may offer better flexibility to adapt to variations in demand and process changes. As an operations manager, I recommend conducting a detailed capacity analysis using the specific processing times and demand forecasts, then selecting the machine or mix that optimally balances cost, capacity, and flexibility.
Conclusion
Efficient maintenance and vessel care scheduling are critical components for Cedar Point Marina’s profitability and customer satisfaction. The analysis shows that flexible labor planning, particularly employing overtime, provides a good balance between cost and responsiveness. Similarly, careful selection of machinery, considering both purchase and operational costs, along with qualitative factors, will ensure sustainable and scalable operations. Strategic investments in flexible resources—both human and machine—are vital for long-term success in competitive maritime services.
References
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