2 jobs in higher mathematics

Task 1.
The factory produces two kinds of products and subsistence resources it as follows:
The costs of each type of resources per unit of each type of product are given in the table below:
Resources Type
№1 №2
Equipment May 3
Raw June 2
Energy April 1
The unit price of the product of the first type is 10 arbitrary units, and the second - 4 standard units.
How many of each type of product should be released a day to revenues from sales of finished products was the highest?
It is necessary to create a mathematical model of this problem, to solve it by the simplex method, result in geometric solution and give the interpretation of the results (the results of the simplex method and geometrical method should be the same).

Task 2.
To solve the transport problem of the method of potentials. Baseline data for the problem are given in the table below:
Suppliers of possible suppliers and consumers demand
№1 - 160 №2 - 140 №3 - 420
1700 6 5 3
2840 4 7 5
3 100 2 3 9
Find the optimal transportation plan.