1. samuel is remodeling his basement. one part of the planning involves the flooring. he knows that he would like both carpet and hardwood, but isn't sure how much of each he will use. the most amount of flooring area he can cover is 2000 square feet. the carpet is $4.50 per square foot and the hardwood is $8.25 per square foot. both prices include labor costs. samuel has budgeted $10,000 for the flooring. write a system of inequalities to represent maximum amount of flooring needed, and the maximum amount of money samuel wants to spend.