1.1.4 The plant produces two products, which are made on two machines M_1, M_2 and M_3. The working time of these machines is limited and is respectively, for machine M_1 - 3000 hrs, for machine M_2 - 1300 hrs and for machine M_3 - 8000 hrs. The consumption of machine time (in hours) for the production of a unit of each product is given in the table: Machines Labour time consumption per product unit I || M_1 30 10 M_2 10 10 M_3 50 80 The profit from the sale of product I is 30 PLN, and the profit from the sale of product II is 20 PLN. An analysis of sales in preceding years shows that it will not be possible to sell product II for more than 700 units. Plan the production structure in such a way, that with the assumed limitations, the profit on sales of products will be the highest.
1.1.4 The plant produces two products, which are made on two machines M_1, M_2 and M_3. The working time of these machines is limited and is respectively, for machine M_1 - 3000 hrs, for machine M_2 - 1300 hrs and for machine M_3 - 8000 hrs. The consumption of machine time (in hours) for the production of a unit of each product is given in the table: Machines Labour time consumption per product unit I || M_1 30 10 M_2 10 10 M_3 50 80 The profit from the sale of product I is 30 PLN, and the profit from the sale of product II is 20 PLN. An analysis of sales in preceding years shows that it will not be possible to sell product II for more than 700 units. Plan the production structure in such a way, that with the assumed limitations, the profit on sales of products will be the highest.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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