Methods of Optimization RFEI

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Verification work on the course "Methods of optimization"
Objective 1
The company produces two kinds of ice cream: butter and chocolate. For the manufacture of ice cream are two initial products: milk and fillers, the costs of which 1 kg of ice cream and DSA reserves starting materials are given in Table 1.
Table 1
Study market showed that the daily demand for ice cream exceeds the demand for chocolate is not more than 100 kg. Furthermore, it was found that the demand for a chocolate ice cream does not exceed 350 kg per day. Selling price of 1 kg of ice cream 16 den. u chocolate - 14 den. ed.Opredelit number of each type of ice cream, which must produce firm to profit from the sale of products was the highest.
Task 2
The company has three production resources (raw materials, equipment, electricity) and can arrange production in two different ways.
Consumption of resources and depreciation of equipment for one month and share with each mode of production are given in Table 2 (in the den. U).
In the first method of production, the company produces over 3 thousand a month. Products in the second - 4 th. Products. How many months, the company has to work each of these methods, with the resources available to ensure maximum output?

Additional information

Objective 3
Solve the problem graphically maximize Function 1 2 f (x) = 2x + 4x under the following restrictions:

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