A noultry farmer must supplement the vitamins in the feed he buys. He is con- idering two supplements, each of which contains the feed required but in differ- ont amounts. He must meet or exceed the minimum vitamin requirements. The vitamin content per gram of the supplements is given in the following table. Vitamin Supplement I Supplement II 5 units 25 units 25 units 10 units 3 10 units 10 units 4 36 units 20 units Supplement I costs P5 per gram and Supplement II costs P6 per gram. The feed must contain at least 50 units of vitamin 1, 100 units of yitamin 2, 60 units of vitamin 3, and 180 units of vitamin 4. Determine the combination that has the minimum cost.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 34E
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A noultry farmer must supplement the vitamins in the feed he buys. He is con-
idering two supplements, each of which contains the feed required but in differ-
ont amounts. He must meet or exceed the minimum vitamin requirements. The
vitamin content per gram of the supplements is given in the following table.
Vitamin
Supplement I
Supplement II
5 units
25 units
25 units
10 units
3
10 units
10 units
4
36 units
20 units
Supplement I costs P5 per gram and Supplement II costs P6 per gram. The feed
must contain at least 50 units of vitamin 1, 100 units of yitamin 2, 60 units of
vitamin 3, and 180 units of vitamin 4. Determine the combination that has the
minimum cost.
Transcribed Image Text:A noultry farmer must supplement the vitamins in the feed he buys. He is con- idering two supplements, each of which contains the feed required but in differ- ont amounts. He must meet or exceed the minimum vitamin requirements. The vitamin content per gram of the supplements is given in the following table. Vitamin Supplement I Supplement II 5 units 25 units 25 units 10 units 3 10 units 10 units 4 36 units 20 units Supplement I costs P5 per gram and Supplement II costs P6 per gram. The feed must contain at least 50 units of vitamin 1, 100 units of yitamin 2, 60 units of vitamin 3, and 180 units of vitamin 4. Determine the combination that has the minimum cost.
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