Please explain how to answer question 1.

Summit Development Corporation is considering bidding on a contract for a new office building complex. The following figure shows the decision tree prepared by one of Summit's analysts. At node 1, the company must decide whether to bid on the contract. The cost of preparing the bid is $200,000. The upper branch from node 2 shows that the company has a 0.8 probability of winning the contract if it submits a bid. If the company wins the bid, it will have to pay $2 million to become a partner in the project. Node 3 shows that the company will then consider doing a market research study to forecast demand for the office units prior to beginning construction. The cost of this study is $150,000. Node 4 is a chance node showing the possible outcomes of the market research study. Nodes 5, 6, and 7 are similar in that they are the decision nodes for Summit to either build the office complex or sell the rights in the project to another developer. The decision to build the complex will result in an income of $5 million if demand is high and $3 million if demand is moderate. If Summit chooses to sell its rights in the project to another developer, income from the sale is estimated to be $1.5 million. The probabilities shown at nodes 4, 8, and 9 are based on the projected outcomes of the market research study. Profit ($1,000s) High Demand 0.85 2,650 Build Complex Forecast High Moderate Demand 0.15 650 P Sell 1,150 Market Research High Demand 0.225 2,650 Build Complex Forecast Moderate 0.4 Moderate Demand 0.775 650 Win Contract 0.8 Sell 1,150 2.800 Bid High Demand Build Complex 0.6 (10 Moderate Demand 0.4 Sell No Market Research 800 1,300 Lose Contract 0.2 -200 Do Not Bid 0 1. Verify Summit's profit projections shown at the ending branches of the decision tree by calculating the payoffs of $2,650,000, $650,000, and $1,150,000 for first three outcomes. 2. What is the optimal decision strategy for Summit, and what is the expected profit for this project? 3. What would the cost of the market research study have to be before Summit would change its decision about the market research study? Summit Development Corporation is considering bidding on a contract for a new office building complex. The following figure shows the decision tree prepared by one of Summit's analysts. At node 1, the company must decide whether to bid on the contract. The cost of preparing the bid is $200,000. The upper branch from node 2 shows that the company has a 0.8 probability of winning the contract if it submits a bid. If the company wins the bid, it will have to pay $2 million to become a partner in the project. Node 3 shows that the company will then consider doing a market research study to forecast demand for the office units prior to beginning construction. The cost of this study is $150,000. Node 4 is a chance node showing the possible outcomes of the market research study. Nodes 5, 6, and 7 are similar in that they are the decision nodes for Summit to either build the office complex or sell the rights in the project to another developer. The decision to build the complex will result in an income of $5 million if demand is high and $3 million if demand is moderate. If Summit chooses to sell its rights in the project to another developer, income from the sale is estimated to be $1.5 million. The probabilities shown at nodes 4, 8, and 9 are based on the projected outcomes of the market research study. Profit ($1,000s) High Demand 0.85 2,650 Build Complex Forecast High Moderate Demand 0.15 650 P Sell 1,150 Market Research High Demand 0.225 2,650 Build Complex Forecast Moderate 0.4 Moderate Demand 0.775 650 Win Contract 0.8 Sell 1,150 2.800 Bid High Demand Build Complex 0.6 (10 Moderate Demand 0.4 Sell No Market Research 800 1,300 Lose Contract 0.2 -200 Do Not Bid 0 1. Verify Summit's profit projections shown at the ending branches of the decision tree by calculating the payoffs of $2,650,000, $650,000, and $1,150,000 for first three outcomes. 2. What is the optimal decision strategy for Summit, and what is the expected profit for this project? 3. What would the cost of the market research study have to be before Summit would change its decision about the market research study