A farmer has 40 acres of land on which he plans to grow coffee, mango, and coconut. Each acre of coffee requires 10 hours of labor and P3,000 of capital, each acre of mango requires 16 hours of labor and P2,000 of capital, and each acre of coconut requires 18 hours of labor and P3,000 of capital. The farmer has at most 600 hours of labor and P120,000 of capital available. If the profit from an acre of coffee is P6,000, an acre of mango is P4,000, and from an acre of coconut is P5,000, how many acres of each crop should he plant to maximize his profit? *(Let x be the number of acres to be planted with coffee, y the number of acres to be planted with mango, z the number of acres to be planted with coconut, and P the profit) * Question: What is the optimal solution to the problem?
A farmer has 40 acres of land on which he plans to grow coffee, mango, and coconut. Each acre of coffee requires 10 hours of labor and P3,000 of capital, each acre of mango requires 16 hours of labor and P2,000 of capital, and each acre of coconut requires 18 hours of labor and P3,000 of capital. The farmer has at most 600 hours of labor and P120,000 of capital available. If the profit from an acre of coffee is P6,000, an acre of mango is P4,000, and from an acre of coconut is P5,000, how many acres of each crop should he plant to maximize his profit?
*(Let x be the number of acres to be planted with coffee, y the number of acres to be planted with mango, z the number of acres to be planted with coconut, and P the profit) *
Question: What is the optimal solution to the problem?
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