Setting of Higher Mathematics

Create a mathematical model of the problem and solve it in two ways: the simplex method and graphically. To obtain a dual task to make and test the optimal plan of the original problem using the criteria of the optimal plan of dual problems.
The company in the production process technology uses two ways. This wastes raw materials, labor, overhead costs are taken into account. Known unit cost of each resource, resource stocks, as well as the specific profit by using every technological method. Production conditions require that the overheads are not less than 2.
Types of Technology Resources ways headroom
February 1
Raw 4 February 16
Labor Resource 2 February 12
Overhead 2 1 2
Earnings January 4
It wanted to plan the use of technological methods of production for maximum profits.