A farmer in Queensland owns 100 acres of land and is planning to grow wheat and potato. Each acre cultivated with wheat yields a $400 profit, requires four workers, and 3 tonnes of fertilizer; each acre with potato yields $550 profit, requires three workers, and 5 tonnes of fertilizer. The farmer can hire up to 300 workers and manage 400 tonnes of fertilizer, Formulate a mathematical programming model that would maximize the total profit