Problem 1- (25 marks) During a recent fire, a 35-acre section (15 acres in North section and 20 acres in South section) of California National Forest was destroyed. The California Forest Dept. is planning to reseed both North and South sections with a density of minimum 125 trees per acre and a maximum of 225 trees/acre. The Dept. policy requires at least 40% of the trees in the North section and at least 60% of the trees in the south section to be white pine and the remainder to be yellow pine. White pine trees cost $3 each while the yellow ones cost $2 each. The cost of planting the white pine is $90 per 100 trees while the cost of planting the yellow pine is $70 per 100 trees. The Department has been allocated $16,000 of which up to $11,000 is allowed to be used in the purchasing of trees (A tree purchased must be planted). Formulate the above as a LP model to minimize the Dept. cost given its policy and plan.