If a small plant is build and a favorable market occurs, the company will make a $2,000,000 profit. However, if an unfavorable market happens then a $1,000,000 profit will be realized.If a large plant is build, the company will make a profit of $4,500,000 if a favorable market happens. The company will experience a loss of $1,600,000 if the market turns out unfavorable.A market research shows that there is a 0.3 probability of a unfavorable market and a 0.7 probability of a favorable market. Analyze the problem use the decision tree amethod. Should the company build a small plant or a big plant? Show a brief explanation and calculation.