Question

Problem-3 (25 Points) A cylindrical "Tin" Can may be characterized by its base Radius, R, and height, h. See Diagram at Right. You work for a packaged-food company that uses this type of can. Your current assignment includes the task of designing a new can with constraints It has a total VOLUME of 57 in - The CoST to purchase and seal the can is to Sea be Minimized OLIV The Cost to purchase & fill the can is described by this Cost-Function DI K, Total Seam Length)-+ K2Vertical Side Surface Area) c- In this case K-1¢/(16.8 lineal-in) K2= 1 43.1 surface-in*) . . Use the space below to show the HAND CALCULATIONS needed to determine and justify your answer for a. The Can Radius, Rmin, for Minimum Cost Rmin = b. The Can Height, hmin, for Minimum Cost c. The value, Cmin, for the Minimum-Cost Can Cmin

Please use MATLAB to solve this problem. Thank you

Answer 1

Save the code in MATLAB and get the results-

clc

clear

close all;

k1=16.8;

k2=43.1;

V=57; % VOlume of the cylinder

length=10;

r=sqrt(V/pi*length);% Radius of cylinder

h=V/pi*r^2;% Height

Area=2*pi*r*h+2*pi*r^2;% Surface area

Cmin=k1*length+k2*Area;% Minimum Cos