Problem 1: A contractor builds two types of homes: the Carolina and the Savannah. The Carolina requires one lot, $160,000 in capital, and 160 worker-days of labor. The Savannah requires one lot, $240,000 in capital, and 160 worker-days of labor. The contractor owns 300 lots and has $48,000,000 of available capital, and 43,200 worker-days of labor. The profit on the Carolina is $40,000 and the profit on the Savannah is $50,000. Determine how many of each home type the contractor should build in order to maximize profit and find the maximum profit. Summarize Problem Information: Determine Decision Variables: Determine Objective Function: Determine Constraints: Write a sentence or two containing the solution & and interpretation of the solution