please provide formulas in steps thanks

3) (25 pts.) A manager wants to know how many units of each product to produce on a daily basis in order to achieve the highest contribution to profit. Production requirements for the products are shown in the following table. Material 1 (pounds) Material 2 (pounds) Product A Labor (hours) 3.2 2 3 B 1 5 1.5 6 2.0 Material 1 costs $5 a pound, material 2 costs $4 a pound, and labor costs $10 an hour. Product A sells for $80 a unit, product B sells for $90 a unit, and product C sells for $70 a unit. Available resources each day are 200 pounds of material 1; 300 pounds of material 2; and 150 hours of labor. The manager must satisfy certain output requirements: The output of product A should not be more than one-third of the total number of units produced, the ratio of units of product A to units of product B should be 3 to 2; and there is a standing order for 5 units of product A each day. Formulate a linear programming model for this