Final answer:
To solve this problem, set up a system of equations to represent the given information and solve for the values of x and y.
Step-by-step explanation:
To solve this problem, we can set up a system of linear equations to represent the given information.
Let's assume we have x 5-pound containers and y 10-pound containers.
The total weight of the coffee in pounds can be represented by the equation 5x + 10y = 50 (since we are shipping at most 50 pounds of coffee).
The total volume of the containers in cubic inches can be represented by the equation 36x + 12y ≤ 108 (since we are limited to at most 108 cubic inches).
We can solve this system of equations to find the values of x and y that satisfy both equations.