Question 2: Linear programing problem [15 Marks] [~20 minutes; A company sells two types ofshoes. The rst type requires Eunits of leather and '2. units of synthetic material and yields a prot of $3 per pair. The second type requires 5- units of leather and 1 unit of synthetic materials and yields a prot of $10 per pair. If there are Ill] units of leather and 16 units of synthetic material available. how many pairs of each type of shoe should be sold to maximize prot? 1|What is the maximum prot? Question 3: Linear Interpoiation [11} marks] [~15 minutes] Given the future value annuity factor {1+1}\" 1 5(1) = = 13.1313 approximate the value ofi (show interest rate up to 4 decimal points]