A small firm produces two types of wooden lampstands: rounded and angular. Both types require two hand-crafted processes: cutting and smoothing. Rounded lampstands require 1 hour of cutting and 3 hours of smoothing whereas angular lampstands require 2 hours of cutting but only 1 hour of smoothing. The firm has 400 man-hours of cutting available each week and 300 man-hours of smoothing. The firm calculates that they can make 3 Euro profit on each rounded lampstand and 4 Euro profit on each angular lampstand. The problem is to maximise profit. Formulate this as a linear programming problem, giving the three steps and state any assumptions made. (b) Solve the LP problem in (a) graphically. Hence, state your recommendation for the number of each type of lampstands the firm should produce in order to maximise weekly profit. Give the total profit per week that would be expected given your solution.
How do I draw it graphically and how much profit will they be expected to make in a week? Hope you can help. Thank You