Maximizing Electronics Production Constraints

Very Hard Word Problems Advanced Algebra

A company produces two types of electronics: tablets and laptops. The production of laptops is represented by the variable l and the production of tablets is represented by t. The factory has the following constraints:

- Each laptop requires 4 units of raw material and each tablet requires 2 units.
- The total available raw material is 280 units.
- Additionally, the factory can produce a maximum of 50 laptops.

The company wants to maximize its output of electronics. If the company produces l laptops and t tablets, which equation represents the constraints on the production limits based on the material available?

$$4l + 2t \leq 280$$ and $$l \leq 50$$

$$2l + 4t \leq 280$$ and $$l \leq 50$$

$$4l + 2t \geq 280$$ and $$l \leq 50$$

$$2l + 4t \geq 280$$ and $$l \geq 50$$

Hint

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