LINEAR PROGRAMMING PROBLEM 27. A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are shown in the following table. Product ABC Material 1 (lbs.) 3 2 10 Material 2 (lbs.) 4 8 none Labor (hours) 8 4 7 Material 1 costs $14 a pound, material 2 costs $10 a pound, and labor costs $10 per hour. Product A sells for $300 a unit, product B sells for $350 a unit, and product C sells for $350 a unit. Each week there are 600pounds of material 1; 800 pounds of material 2; and 400 hours of labor. Also, there is a weekly demand of 20 units of product. A 1 Problem 27 2 3 4 5 Material 1 6 Material 2 7 Labor (hours) 8 Profit Number of Units 9 Constraints 10 Material 1 11 Material 2 12 Labor 13 At least 20 Units of demands 14 15 16 17 B Product A 3 4 8 0 C Prodcut B ~ 80 2 4 0 D Product C 10 0 7 20 E LHS F