Solve the giving problem graphically using matlab

3) Formulate the following optimization problems and solvegraphically using MATLAB a. A company is redesigning its parallel heat flow exchanger of length L to increase its heat transfer. An end view of the units is shown in the figure below The smallest available conducting tube has a radius of 0.5 cm and all tubes must be of same size. Further the total cross-sectional area of the tubes cannot exceed 2000 cm2 to ensure adequate space inside the outer shell. Formulate an optimization problem to determine the number of tubes and radius of each tube to maximize the surface area of the tubes in the heat exchanger Outer shell 0O Individual tubes B) 3.-A R" and the ne ari pe TRHe surface cveAf the tule, is 2FnRR tuies in the htert ex changeris tubes inside the outer shell ven R 0.5 cm an n31 and ction (x) : 2.5 n R (maximize) 0.5 cm l 4 ns 2546