'9. A farmer has 100 acres of land available to grow corn and soybeans. The cultivation cost is Nil per acre ofsoybean and 35!] per acre of corn. The labor cost per acre of soybeans is El} and 36!} for com. The prot per acre is $2012} for soybeans and $25!} for com. There are up to $1.31!} available for cultivation and up to 32.401} available for labor. Find the number of acres of each crop that should be planted to maximize prot. 1!}. A factory produces gasoline engines and diesel engines. Each week the factory is obli- gated to deliver at least 2!} gasoline engines and at least 15 diesel engines. Due to physical limitations. the factory can't make more than ll} gasoline engines nor more than 4!} diesel engines in any given week. Finally. to prevent layoffs. a total of at least 5!} engines must be produced each week. If gasoline engines cost $450 each and diesel engines cost $55!] each1 how many of each should be produced per week to minimise the cost