Industrial Pipes Corporation makes two kinds of pipes (Pipe A and Pipe B). Pipe
ID: 338761 • Letter: I
Question
Industrial Pipes Corporation makes two kinds of pipes (Pipe A and Pipe B). Pipe A sells for $3000, while pipe B sells for $2200. The firm has identified two processes, heat treatment and assembly as critical areas for overall throughput for the firm. Industrial Pipes operates both processes two shifts per day (15 hours per day) for 20 days per month for a total 300 hours/month each. Pipe A takes 4 hours of heat treatment and 5 hours on final assembly while pipe B takes 6 hours on heat treatment and 1.5 hours on final assembly. Assume that the firm can sell no more than 50 units of each pipe per month (i.e., maximium demand for either type of pipe is limited to 50 per month). If the firm is trying to maximize its contribution from these two products, write a formulation of a linear program that optimizes how many of each type of pipe they should make each month.
Explanation / Answer
Industrial Pipes Corporation makes two kinds of pipes (Pipe A and Pipe B). Pipe A sells for $3000, while pipe B sells for $2200. The firm has identified two processes, heat treatment and assembly as critical areas for overall throughput for the firm. Industrial Pipes operates both processes two shifts per day (15 hours per day) for 20 days per month for a total 300 hours/month each. Pipe A takes 4 hours of heat treatment and 5 hours on final assembly while pipe B takes 6 hours on heat treatment and 1.5 hours on final assembly. Assume that the firm can sell no more than 50 units of each pipe per month (i.e., maximium demand for either type of pipe is limited to 50 per month). If the firm is trying to maximize its contribution from these two products, write a formulation of a linear program that optimizes how many of each type of pipe they should make each month.