To calculate the profit, we need to convert the cost of each motherboard from Singapore dollars to US dollars using the exchange rate. We can then calculate the total cost, total revenue, and profit.
1. If the exchange rates stay the same over the next 90 days:
- Cost per motherboard in US dollars: 231.25 / 1.5128 = $152.96
- Total cost: 29,000 * $152.96 = $4,436,640
- Total revenue: 29,000 * $160 = $4,640,000
- Profit: $4,640,000 - $4,436,640 = $203,360
2. If the exchange rate rises by 10 percent over the next 90 days:
- New exchange rate: 1.5128 * 1.1 = 1.66408
- Cost per motherboard in US dollars: 231.25 / 1.66408 = $138.98
- Total cost: 29,000 * $138.98 = $4,025,420
- Total revenue: 29,000 * $160 = $4,640,000
- Profit: $4,640,000 - $4,025,420 = $614,580
3. If the exchange rate falls by 10 percent over the next 90 days:
- New exchange rate: 1.5128 * 0.9 = 1.36152
- Cost per motherboard in US dollars: 231.25 / 1.36152 = $169.81
- Total cost: 29,000 * $169.81 = $4,926,490
- Total revenue: 29,000 * $160 = $4,640,000
- Profit: $4,640,000 - $4,926,490 = -$286,490 (negative profit)
4. To find the break-even exchange rate, we can set the total cost equal to the total revenue and solve for the exchange rate:
29,000 * (231.25 / X) = 29,000 * 160
Simplifying and solving for X, we get:
X = 231.25 / 160 = 1.4453
Therefore, the break-even exchange rate is 1.4453 Singapore dollars per US dollar.