answer for constraints

A small fabrication firm makes three basic types of components for use by other companies. Each component is processed on three machines. Total capacities (in hours) are 1,700 for machines 1; 1,300 for machine 2; and 1,600 for machine 3. The processing times are as follows: Processing Time (hr) Component Machine 1 Machine 2 A 0.10 B 0.20 0.15 0.10 0.05 0.25 Machine 3 0.05 0.10 0.15 Each component contains a different amount of two basic raw materials. Raw material 1 costs $0.10 per ounce, and raw material 2 costs $0.25 per ounce. At present, 181,000 ounces of raw material 1 and 85,000 ounces of raw material 2 are available. Requirements (oz/unit) Component Raw Material 1 Raw Material 2 Selling Price ($/unit) A 30 12 35.40 B 28 16 24.00 19 9 21.20 a. Assume that the company must make at least 1,000 units of component B, that labor costs are negligible, and that the objective is to maximize profits. Specify the objective function and constraints for the problem. Objective function: Maximize Z = 29.4 A+ 17.2 B + 17.05 C. (Enter your responses rounded to two decimal places.) Constraints (enter your responses rounded to two decimal places): B + B + Machine 1 (C): DA+ B Machine 2 (C2): A+ Machine 3 (C3): DA+ B + Material 1 (C): DA+ B + Material 2 (C): DA+ B + Minimum for product (C): B = 1,000 Nonnegativity: A 20, B 2 0 C 20