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1) Certa empresa fabrica dois produtos P1 e P2. O lucro unitário do produto P1 é de 10 unidades
monetárias (u.m) e o lucro unitário de P2 é de 1800 unidades monetárias (u.m). A empresa precisa
de 20 horas para fabricar uma unidade de P1 e de 30 horas para fabricar uma unidade de P2. O
tempo anual de produção disponível para isso é de 1200 horas. A demanda esperada par cada
produto é de 40 unidades anuais para P1 e 30 unidades anuais para P2. Qual é o plano de produção
para que a empresa maximize seu lucro nesses itens?
2) Um carpinteiro dispõe de 90, 80 e 50 metros de compensado, pinho e cedro. O produto A requer
2, 1 e 1 metros de compensado, pinho e cedro respectivamente. O produto B requer 1, 2 e 1 metros
respectivamente. O produto A é medido por 120 u.m e o produto B por 100 u.m. Quantas unidades
de cada produto deve ser produzidas para obter rendimento máximo ?
3) Uma empresa produz 2 tipos de pneus. O pneu do tipo A é do tipo pneuaço e não tem câmara. A
receita proveniente de um pneu desse tipo é $ 50,00. O pneu tipo B não contém aço, usa câmara e
provê uma receita de $ 30,00. A quantidade de borracha fornecida à Empresa é suficiente para
fabricar diariamente apenas 1000 pneus. O aço disponível diariamente é suficiente para 500 pneus.
Pode-se dispor diariamente de 700 câmaras para o pneu do tipo B. A disponibilidade diária de mão
de obra para a fabricação de pneus é de 1500 Homens/hora. Além disso, usa-se 3 Homens/hora para
a fabricação de um pneu tipo A e 2 Homens/hora para o pneu do tipo B. Resolva o problema acima
de modo a encontrar a produção diária que maximiza a receita.

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Lista po 01

  • 1. 1) Certa empresa fabrica dois produtos P1 e P2. O lucro unitário do produto P1 é de 10 unidades monetárias (u.m) e o lucro unitário de P2 é de 1800 unidades monetárias (u.m). A empresa precisa de 20 horas para fabricar uma unidade de P1 e de 30 horas para fabricar uma unidade de P2. O tempo anual de produção disponível para isso é de 1200 horas. A demanda esperada par cada produto é de 40 unidades anuais para P1 e 30 unidades anuais para P2. Qual é o plano de produção para que a empresa maximize seu lucro nesses itens? 2) Um carpinteiro dispõe de 90, 80 e 50 metros de compensado, pinho e cedro. O produto A requer 2, 1 e 1 metros de compensado, pinho e cedro respectivamente. O produto B requer 1, 2 e 1 metros respectivamente. O produto A é medido por 120 u.m e o produto B por 100 u.m. Quantas unidades de cada produto deve ser produzidas para obter rendimento máximo ? 3) Uma empresa produz 2 tipos de pneus. O pneu do tipo A é do tipo pneuaço e não tem câmara. A receita proveniente de um pneu desse tipo é $ 50,00. O pneu tipo B não contém aço, usa câmara e provê uma receita de $ 30,00. A quantidade de borracha fornecida à Empresa é suficiente para fabricar diariamente apenas 1000 pneus. O aço disponível diariamente é suficiente para 500 pneus. Pode-se dispor diariamente de 700 câmaras para o pneu do tipo B. A disponibilidade diária de mão de obra para a fabricação de pneus é de 1500 Homens/hora. Além disso, usa-se 3 Homens/hora para a fabricação de um pneu tipo A e 2 Homens/hora para o pneu do tipo B. Resolva o problema acima de modo a encontrar a produção diária que maximiza a receita.