Labor Cost Overtime Dilemma

First, determine the labor hours needed to replace the two sick cooks. Assume each cook works 8-hour shifts for Thursday, Friday, Saturday (3 days), so total 48 hours needed. Scenario A: Overtime for existing staff. Overtime rate = $18 × 1.5 = $27/hour. Cost = 48 hours × $27 = $1,296. Scenario B: Temporary staff. Agency rate = $25/hour, 4-hour minimum per shift. If we hire for 3 days, 8 hours each, cost = 24 hours × $25 = $600? Wait, 48 hours total? Actually, two cooks × 8 hours × 3 days = 48 hours. But agency might charge $25/hour for each temp. So 48 hours × $25 = $1,200. However, there may be a 4-hour minimum per shift, but we need full shifts, so that's fine. Scenario C: Reduce service on Thursday. Save $800 in labor, but revenue drops by 10% on Thursday. Thursday forecast revenue = $15,000. 10% reduction = $1,500 lost revenue. Labor cost is 30% of revenue, so lost revenue translates to lost labor budget? Actually, labor budget is 30% of revenue, so if revenue drops, labor budget drops. But the $800 savings is direct labor cost reduction. However, we must also consider the impact on labor cost percentage. The question asks for projected labor cost for the rest of the week. Under scenario C, we still need to cover the two sick cooks for Friday and Saturday? The scenario says 'reduce service on Thursday', which might mean we don't need the extra staff on Thursday. So we only need to cover Friday and Saturday (32 hours). So overtime cost for 32 hours = 32 × $27 = $864. Plus we save $800 on Thursday labor (but that's a reduction from the original budget, not an additional cost). Actually, we need to compare total labor cost for the week. Let's compute total labor cost for the week under each scenario. Current spent: $7,500. Remaining days: Thu, Fri, Sat. Base labor cost for those days (without the sick cooks) would be? We don't have that. We only know the weekly budget is $12,000, and we've spent $7,500, leaving $4,500 for the rest of the week. But that $4,500 is the budget, not the actual cost. We need to project actual cost. The problem is under-specified. We need to know the regular labor cost for Thu-Sat. Let's assume that the $7,500 spent is for Mon-Wed, and the remaining budget is $4,500. But that's the budget, not the forecast. We need to estimate the regular labor cost for Thu-Sat. Perhaps we can use the labor cost percentage: 30% of revenue. Forecast revenue for Thu-Sat = $15,000 + $18,000 + $20,000 = $53,000. 30% of that = $15,900. But that's the labor cost if we maintain 30%. However, we've only spent $7,500 so far, which is 30% of what revenue? We don't know Mon-Wed revenue. This is messy. A better approach: the question asks for projected labor cost for the rest of the week under three scenarios. We can calculate the additional cost of covering the sick cooks under each scenario, and then compare to the budget. The base labor cost for Thu-Sat (without the sick cooks) is unknown, but we can assume it's the same as it would have been. The incremental cost is what matters. Scenario A: incremental cost = $1,296. Scenario B: incremental cost = $1,200. Scenario C: incremental cost = overtime for Fri-Sat (32 hours × $27 = $864) plus the $800 savings on Thursday labor (which is a negative incremental cost, i.e., savings). So net incremental cost = $864 - $800 = $64. But wait, the $800 savings is from reducing service on Thursday, which means we don't need the extra staff on Thursday, so we save the overtime for Thursday (16 hours × $27 = $432) plus we save $800 in regular labor? Actually, if we reduce service, we might send some staff home early, saving $800. But we still need to cover the sick cooks on Friday and Saturday. So the incremental cost for covering sick cooks is $864 (overtime for 32 hours). But we also save $800 in labor on Thursday. So net incremental cost = $864 - $800 = $64. However, we also lose revenue on Thursday: 10% of $15,000 = $1,500. That lost revenue also reduces labor budget (since labor is 30% of revenue), but that's a budget issue, not an actual cost. The actual labor cost might not decrease proportionally. The question asks which is most cost-effective. Scenario C has the lowest incremental labor cost ($64 net), but it also has a revenue loss of $1,500. So the total impact on profit is: Scenario A: -$1,296 labor cost. Scenario B: -$1,200 labor cost. Scenario C: -$64 labor cost + -$1,500 revenue loss = -$1,564. So Scenario B is the most cost-effective in terms of labor cost alone, but considering revenue loss, Scenario B is better than C. However, we must also consider that Scenario C might have other benefits like reduced stress. But purely financially, Scenario B is best: $1,200 vs $1,296 vs $1,564. The model answer should show these calculations and conclude that hiring temporary staff is the most cost-effective, assuming the agency staff are competent. Also, note that overtime may lead to fatigue and lower productivity, which could have hidden costs. The model answer should also mention that the $800 savings in Scenario C might not be fully realized if staff are still needed for prep. A more precise answer would require knowing the regular labor cost for Thu-Sat. Given the ambiguity, the model answer should state assumptions and provide a reasoned conclusion.

I would choose Scenario B: hire temporary staff through the agency. Financially, it is slightly cheaper than overtime ($1,200 vs $1,296) and avoids the revenue loss of reducing service. Non-financially, using agency staff prevents overworking existing staff, which can lead to fatigue, mistakes, and low morale. Overtime can cause burnout, especially since two cooks are already sick-possibly from overwork. Agency staff bring fresh energy, though they require orientation and may be less efficient initially. Reducing service on Thursday (Scenario C) might upset regular customers and damage reputation, and the $800 savings may not materialize if staff are still needed for prep or cleaning. Legally, overtime is allowed but must be paid correctly; agency staff must be properly vetted and trained on food safety. From a service quality perspective, maintaining full service with agency staff ensures consistent guest experience. Therefore, Scenario B balances cost, morale, and service quality best. The model answer should also mention the importance of briefing agency staff on kitchen protocols and pairing them with experienced staff.