Final answer:
Without the full Linear Programming problem, we cannot determine the solution of the LP among the given options. The slope between the points (1, 0.1) and (7, 26.8) is calculated to be approximately 4.45. The slope is approximately 4.45, which means option b. 4.5 is the closest correct answer.
Step-by-step explanation:
The student is asking about solving for a particular variable in Linear Programming (LP), but the question seems incomplete because it does not provide the actual LP problem or its constraints.
However, one part of the provided resource hints at a calculation unrelated to LP involving the conversion of concentration and volume, which is not enough to answer the LP question.
Furthermore, the question about the slope between two points is a straightforward calculation using the slope formula.
Without additional context, we can't solve the original LP question, but let's tackle the slope problem provided separately.
Slope Calculation Example
To find the slope of a line passing through the points (1, 0.1) and (7, 26.8), we can use the slope formula, which is (y2 - y1) / (x2 - x1).
For Point 1 (1, 0.1) and Point 2 (7, 26.8):
Slope (m) = (26.8 - 0.1) / (7 - 1)
Slope (m) = 26.7 / 6
Slope (m) = 4.45
The slope is approximately 4.45, which means option b. 4.5 is the closest correct answer.