An investment company's profits from investing in two projects, A and B, are P (100 million yuan) and Q (100 million yuan) respectively, which is closely related to the investment amount T (100 millio

An investment company's profits from investing in two projects, A and B, are P (100 million yuan) and Q (100 million yuan) respectively, which is closely related to the investment amount T (100 million yuan). ( 1) ? ∈, ; (2) At that time, the investment of Project A was billion yuan, Project B was billion yuan, and the maximum profit was billion yuan; What time? At that time, project A invested 1 100 million, and project B did not invest, with the highest total profit 1 100 million.

Test analysis: (1) What is the profit from investing in Company A and Company B? What is the total profit from investing in these two projects? ∈, ; (2) Only the maximum value of the function is needed. Considering the relationship between (and), method of substitution can be used to convert it into a quadratic function to find the maximum value. We only need to discuss the position relationship between the symmetry axis and the magnetic domain to find its maximum value.

Question analysis: (1) According to the meaning of the question, you get:? ∈, .？ 4 points

(2) order, and then

8 points

When, when, this time.

When, that is, when At this time? 12 point

A: At that time, project A will invest RMB billion, project B will invest RMB billion, and the total profit will reach RMB billion. What time? When project A invests 1 100 million yuan and project B does not invest, what is the maximum total profit 1 100 million yuan? 14 point