Answer to Question #289712 in Calculus for Putin

Question

Currently the sowing of wheat is taking place in Pakistan till December, the harvesting season will

begin in March. So, the farmers wants to build a silo in the form of cylinder to keep the wheat inside

the silo after harvesting. For this purpose, they have to built silo of different sizes having 2000 cubic

units and 4000 cubic units. Moreover, the top of the cylinder is hemi-sphere. The cost of construction

of per unit surface area is thrice as great for the hemisphere as it is for the cylindrical sidewall.

Determine the dimensions to be used and cost of construction is to be kept to a minimum. Neglect the

thickness of the silo and waste in construction. Finally, use MATLAB to write a program which will

provide you the optimal dimensions subject to the constraint of cost. The program will take dimensions

of the Silo as input and return the cost and quantity of each size.