RFEI optimal decision methods. Control work RFE
Replenishment date: 02.03.2016
Content: Control.rar (533.17 KB)
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Description
Task 1
The company produces 2 types of ice cream: creamy and chocolate. For the manufacture of ice cream, two initial products are used: milk and fillers, the costs of which per 1 kg of ice cream and daily stocks of the initial products are given in Table 1.
The study of the sales market showed that the daily demand for creamy ice cream exceeds the demand for chocolate ice cream by no more than 100 kg. In addition, it was found that the demand for chocolate ice cream does not exceed 350 kg per day. Selling price of 1 kg of ice cream 16 den. units, chocolate - 14 den. units Determine the amount of ice cream of each type that
the firm must produce to maximize the income from product sales.
Task 2
The enterprise has three production resources (raw materials, equipment, electricity) and can organize the production of products in two different ways. The resource consumption and depreciation of equipment for one month and the total resource for each method of production are given in Table 2 (in monetary units).
With the first method of production, the enterprise produces 3 thousand items in one month, with the second - 4 thousand items. How many months should the enterprise operate in each of these ways in order to ensure the maximum output with the available resources?
Task 3
Solve the function maximization problem graphically
F (x) = 2X1 + 4X2
under the following restrictions:
-2X1 + 3X2
The company produces 2 types of ice cream: creamy and chocolate. For the manufacture of ice cream, two initial products are used: milk and fillers, the costs of which per 1 kg of ice cream and daily stocks of the initial products are given in Table 1.
The study of the sales market showed that the daily demand for creamy ice cream exceeds the demand for chocolate ice cream by no more than 100 kg. In addition, it was found that the demand for chocolate ice cream does not exceed 350 kg per day. Selling price of 1 kg of ice cream 16 den. units, chocolate - 14 den. units Determine the amount of ice cream of each type that
the firm must produce to maximize the income from product sales.
Task 2
The enterprise has three production resources (raw materials, equipment, electricity) and can organize the production of products in two different ways. The resource consumption and depreciation of equipment for one month and the total resource for each method of production are given in Table 2 (in monetary units).
With the first method of production, the enterprise produces 3 thousand items in one month, with the second - 4 thousand items. How many months should the enterprise operate in each of these ways in order to ensure the maximum output with the available resources?
Task 3
Solve the function maximization problem graphically
F (x) = 2X1 + 4X2
under the following restrictions:
-2X1 + 3X2