Suppose that in the first year, X 1 machine is put into production of product A, and X2 machine is put into production of product B.

In the second year, X3 machine put into production product A, and X4 machine put into production product B.

In the third year, X5 machine put into production product A, and X6 machine put into production product B.

In the fourth year, X7 machine put into production product A and X8 machine put into production product B..

In the fifth year, X9 machines were put into production of product A, and X 10 machines were put into production of product B..

Objective function: Max = 5 * (x1+x3+x5+x7+x9)+4 * (x2+x4+x6+x8+x10);

x 1+X2 & lt； = 1000;

X3+X4 & lt； = 1000-(0.2 * x 1+0. 1 * X2)；

X5+X6 & lt； = 1000-(0.2 *(x 1+X3)+0. 1 *(X2+X4))；

x7+X8 & lt； = 1000-(0.2 *(x 1+X3+X5)+0. 1 *(X2+X4+X6))；

x9+x 10 & lt； = 1000-(0.2 *(x 1+X3+X5+X7)+0. 1 *(X2+X4+X6+X8))； X 1~X 10 are all integers. When X 1, X3, X6, X8, X 10 is 0, X5 = 8 10, X7 = 684, X9 = 5 18, X2 = 1000, x4.

In the second year, 0 machines were invested to produce product A, and 900 machines were invested to produce product B..

In the third year, 8 10 machines were invested to produce product a and 0 machines were invested to produce product B.

In the fourth year, 648 machines were put into production of product A and 0 machines were put into production of product B..

In the fifth year, product A put into production 5 18 machines, and product B put into production 0 machines to get the highest total income, which is 17480.