Chemical company Chemco produces three types of products. The table shows marginal production costs, as well as the profit per unit of output and the amount of environmental pollution resulting from the production process.

Table. Costs, profits and pollution values.

	product 1	product 2	product 3
Profit	$10	$9	$8
Time consumption	4 hours	3 hours	2 hours
Resource consumption	3 units	2 units	2 units
Pollution	10 units	6 units	3 units

It is planned to use 1300 hours of working time and 1000 units of resource. Chemco has two goals:

1. Maximize profits

2. Minimize the pollution of the environment

Formulate math. model of the problem.