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.

Problem 19-13 (Static) A manager wants to know how many units of each product to produce on a daily basis to achieve the highest profit. Production requirements for the products are shown in the following table. Product A Material i Material 2 (pounds) (pounds) Labor (hours) 3.2 1.5 2.0 B 1 6 Click here for the Excel Data File 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. a. Determine the optimal values of the decision variables. (Round your answers to 2 decimal places.) Decision Variables Optimal Values B b. Determine the optimal value of the objective function. (Round your answer to 2 decimal places.) Objective function value z =