Instructions: Model the following problem(s) then code it/them using google colab and submit your code by the end of the lab session. You need to submit your linear program along with your code, failing to do so will result in receiving zero points for the assignment 1 Problem Statement Two alloys A and B, are made of four metals I, II, III, IV, according to the following specifications: The four metals in turn, are extracted from three ores according to the following data: Selling Price ($) 200 Alloy Specifications A At most 80% of I At most 30% of II At least 50% of IV B Between 40% and 60% of II At least 30% of III At most 70% of IV 300 Ores Maximum Quantity (tons) 1 1000 2 2000 3 3000 Constituents % I II III IV others Price/ ton ($) 20 10 30 30 10 30 10 20 30 30 10 40 5 5 70 20 0 50 How much of each type of alloy should be produced