A company produces two types of gadgets, A and B. Gadget A y...

Question

A company produces two types of gadgets, A and B. Gadget A yields a profit of 50 dollars per unit and takes 3 hours to produce; Gadget B yields 30 dollars per unit and takes 2 hours to produce. The total daily working hours cannot exceed 20 hours, and at least 3 units of Gadget A must be produced daily. Let be the number of Gadget A and be the number of Gadget B produced daily ( are non-negative integers). Write the system of inequalities that represents this situation. _________.

Question Analysis
This question tests the ability to convert a real-life scenario into a system of inequalities. The key is to identify the constraints and express them mathematically.

Key Concept Explanation
A system of inequalities is used to represent multiple conditions in a real-world problem. Each inequality corresponds to a constraint, such as time limits or minimum quantities.

Step-by-step Solution
1. Identify the variables: for Gadget A and for Gadget B.
2. Write the time constraint:

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