Clark Construction Group plans to bid on a contract for a condominium complex. The cost to prepare the bid is $300,000. The company is considering whether or not to submit a bid. The chance of winning the bid is 0.75. The company has to pay $2,200,000 to become a partner in the project if it wins the bid regardless of its subsequent decision. Future demand is uncertain. For simplicity, we consider two possible outcomes, high demand and low demand. Available information indicates that the probability of a high demand is 0.6. The expected income is $5,500,000 if demand is high and $3,500,000 if demand is low. To better assess the market demand, the company has the option of conducting a market research after winning the bid. Such a research will cost $120,000. The market research may produce a favorable or unfavorable report. The probability of a favorable report is 0.6. If the market research report is favorable, the probability of observing a high demand is 0.8. On the other hand, if the market research report is unfavorable, the probability of observing a high demand is only 0.3. If Clark chooses not to build the complex, it can sell its rights in the project to another company, and income from the sale is estimated to be $4,500,000. According to the above information, develop a decision tree (specify probabilities and payoffs), solve it, and identify the optimal decision