A manufacturing company produces two products, A and B, at two different plants, 1 and 2. Plant 1 has resources available to produce 500 units of either product (or a combination of products) daily, and plant 2 has enough resources to produce 800 units. The cost for each product at each plant is as follows.

	Product A	Product B
Plant 1 Plant 2	$50 60	$45 30

Plant 1 has a daily budget of $20,000, and plant 2 has a budget of $30,000. Based on past sales, the company knows it cannot sell more than 600 units of product A and 800 units of product B. The selling price for product A is $80 and for product B is $70. The company wishes to know the number of units of A and B to produce at plants 1 and 2 to maximize profits.

Formulate a linear programming model for this problem.