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.
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