Question

Greentech a company specializing in renewable energy solutions is setting up a new manufacturing unit for solar panels. The unit has 3 different types of production lines: Alpha, Beta, and Gamma. Each line uses a different amount of silicon and produces different quantities and qualities of solar panels, which affects their sellling price

- The Alpha line uses kg of silicon to produce 20kg solar panels, each selling for $
- The Beta line uses kg of silicon to produce 12kg solar panels, each selling for $
- The Gamma line uses kg of silicon to produce 6kg solar panels, each selling for $
Due to supply chain issues, GreenTech can only secure kg of silicon per month. Furthermore, the company participates in an energy efficiency program that requires the Gamma line, which is less energyefficient, to use no more than of the total silicon supply

Consider a linear program which determines the number of individual panels of each line to produce to maximize monthly revenue. For simplicity, assume that production of each line can be scaled proportionally based on the amount of silicon used producing partial panels is allowed Which of the following is a constraint of the corresponding LP instance? Check ll that apply.

a) 2a+1.5B+0.5y≤300

b) y≤120

c) a+B≤240

d) a+B+Y≤300

Answer 1

The information required to determine specific LP constraints is missing. Constraints often balance resource distribution across production lines within the limits of supply and production efficiencies. Without key details, a definitive constraint cannot be discerned.

Step-by-step explanation:

The essential details about the amount of silicon required:

The provided information is incomplete, thus it is impossible to identify the correct constraints of the linear programming (LP) instance with certainty. The essential details about the amount of silicon required for each production line as well as the selling price of the solar panels produced by each line are missing, so we cannot perform a precise calculation.

However, from the context, we understand that a constraint in a linear program for maximizing revenue would include limitations on the amount of silicon used and potentially the number of panels produced, based on production efficiency and supply limitations. Constraints would typically balance the resource usage across the different production lines while adhering to the overall silicon supply cap and specific usage restrictions for less efficient lines, such as the Gamma line.