x space Z equals 10 x subscript 1 plus 30 x subscript 2. Which of the following options represents the correct system of inequalities and objective...
x space Z equals 10 x subscript 1 plus 30 x subscript 2. Which of the following options represents the correct system of inequalities and objective function for this optimization problem?
a) x subscript 1 >= 200, x subscript 2 <= 1000, x subscript 1 + x subscript 2 <= 1000, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2.
b) x subscript 1 <= 200, x subscript 2 >= 1000, x subscript 1 + x subscript 2 <= 1000, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2.
c) x subscript 1 >= 100, x subscript 2 <= 200, x subscript 1 + x subscript 2 <= 800, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2 + 4000.
d) x subscript 1 >= 100, x subscript 2 <= 200, x subscript 1 + x subscript 2 <= 800, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2.
e) x subscript 1 >= 100, x subscript 2 <= 1000, x subscript 1 + x subscript 2 <= 1000, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2 + 4000.
a) x subscript 1 >= 200, x subscript 2 <= 1000, x subscript 1 + x subscript 2 <= 1000, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2.
b) x subscript 1 <= 200, x subscript 2 >= 1000, x subscript 1 + x subscript 2 <= 1000, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2.
c) x subscript 1 >= 100, x subscript 2 <= 200, x subscript 1 + x subscript 2 <= 800, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2 + 4000.
d) x subscript 1 >= 100, x subscript 2 <= 200, x subscript 1 + x subscript 2 <= 800, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2.
e) x subscript 1 >= 100, x subscript 2 <= 1000, x subscript 1 + x subscript 2 <= 1000, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2 + 4000.
💡 1 Resposta
Ed 
A opção correta é a letra (a): a) x subscript 1 >= 200, x subscript 2 <= 1000, x subscript 1 + x subscript 2 <= 1000, x subscript 1, x subscript 2 >= 0. Max Z = 10 x subscript 1 + 30 x subscript 2. Essa opção representa corretamente o sistema de desigualdades e a função objetivo para o problema de otimização apresentado.
✏️ Responder
Para escrever sua resposta aqui, entre ou crie uma conta
Outros materiais
Perguntas relacionadas
Compartilhar