1. Individual Problems 17-1
Malaysia
You're the manager of global opportunities for a U.S. manufacturer that is considering expanding sales into Asia. Your market research has identified the market potential in Malaysia, the Philippines, and Singapore as described in the following table:
Success Level |
|||
---|---|---|---|
Big |
Mediocre |
Failure |
|
Malaysia | |||
Probability | 0.7 | 0.1 | 0.2 |
Units | 1,100,000 | 352,000 | 0 |
Philippines | |||
Probability | 0.4 | 0.3 | 0.3 |
Units | 800,000 | 480,000 | 0 |
Singapore | |||
Probability | 0.2 | 0.3 | 0.5 |
Units | 1,300,000 | 650,000 | 0 |
The product sells for $10, and each unit has a constant marginal cost of $8. Assume that the (fixed) cost of entering the market (regardless of which market you select) is $250,000.
In the following table, enter the expected number of units sold, and the expected profit, from entering each market.
Market |
Expected Number of Units Sold |
Expected Profit |
---|---|---|
Malaysia | ||
Philippines | ||
Singapore |
If you were to enter one of the previously described markets, which one would you enter in order to earn the highest expected profit?
Malaysia
Philippines
Singapore
Expected units of sales = probability of big time * units + probability of mediocre time * units + probability of failure time * units
Fixed cost = $250,000
Price per unit = $10
Marginal cost = $8
Contribution per unit = $2
Malaysia:
Expected number of units sold = 0.7 * 1,100,000 + 0.1 * 352,000 + 0.2 * 0 = 805,200
Profit = total contribution - fixed cost = 2 * 805,200 - 250,000 = 1,360,400
Philippines:
Expected number of units sold = 0.4 * 800,000 + 0.3 * 480,000 + 0.3 * 0 = 464,000
Profit = total contribution - fixed cost = 2 * 464,000 - 250,000 = 678,000
Singapore:
Expected number of units sold = 0.2 * 1,300,000 + 0.3 * 650,000 + 0.5 * 0 = 455,000
Profit = total contribution - fixed cost = 2 * 455,000 - 250,000 = 660,000
So, I would enter in the market of Malaysia as the expected profit is highest.
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