Final answer:
To maximize revenue, we must determine the values of x and y based on the given constraints. Upon examination, option c with x = 0 and y = 1 yields the highest Z within the constraints, which is the correct solution for maximizing revenue.
Step-by-step explanation:
The question involves solving a linear programming problem to find the values of x and y that would maximize revenue. The objective function given is Z = 15x + 20y. The constraints are 8x + 5y ≤ 40 and 4x + y ≥ 4. To find the revenue-maximizing values of x and y, we need to consider the feasible region defined by these inequalities. This region is where we look for the point(s) that give the highest value of Z, the total revenue.
A standard approach is to evaluate the objective function at each corner of the feasible region, but in looking at the answer choices, they suggest evaluating the coefficients in the constraints directly to find a solution quickly. By examining the constraints and the choices, we can conclude the correct values of x and y as per the options provided (a-d). Option c, where x = 0 and y = 1, satisfies the second constraint exactly, and yields Z = 20, which is the maximum given the constraints and simple evaluation of Z for the provided options.