Final answer:
The objective function to minimize the intake of an undesired substance through medications A and B, with 8mg of the substance in A and 6mg in B, is Z = 8x + 6y. Here, x and y represent the numbers of pills A and B taken respectively.
Step-by-step explanation:
To minimize the amount of an undesired substance in medications A and B, one would define an objective function based on the quantities of that substance in each pill.
Since taking a pill of Medicine A contributes 8mg of the undesired substance and a pill of Medicine B contributes 6mg, we can represent this mathematically if x represents the number of A pills taken and y represents the number of B pills taken.
The objective function to minimize the undesired substance can be written as:
Z = 8x + 6y
This function represents the total amount of undesired substance ingested based on the number of each type of pill consumed. To minimize this function, one would solve an optimization problem, often subject to certain constraints such as the required effectiveness of the medications or the maximum allowable intake of the undesired substance.