Final answer:
Without the specific function for flower density D(A), specific calculations cannot be done; however, the area A that gives the highest value for D(A) within the specified range will maximize the density. Techniques from calculus are generally used to locate these maxima.
Step-by-step explanation:
To evaluate the flower density, D(A), for the given areas, A, you would need the specific function or formula for D that relates it to the area. Since the function is not provided in the question, I cannot perform the exact calculations. However, to maximize the density of the flowers, you should choose the value of A within the given range (0.8 ≤ A ≤ 6) that results in the highest calculated value for D(A). To determine this, you would typically calculate the flower density for each value of A that you have found, either by using a formula or by graphical analysis if the density depends on A in a graphical manner. The A that corresponds to the maximum point on the D(A) vs. A graph, or the highest value from the calculations, would be the area you should make the flowerbed in.
Without the specific density function, we can't proceed with the calculation. For optimizing such real-life problems, techniques from calculus, like finding derivatives and critical points, are often applied to locate maximum and minimum values of functions.