Chapter 3, Problem 42RE

Construction A contractor builds boathouses in two basic models, the Atlantic and the Pacific. Each Atlantic model requires 1000 ft of framing lumber, 3000 ft³ of concrete, and $2000 for advertising. Each Pacific model requires 2000 ft of framing lumber, 3000 ft³ of concrete, and $3000 for advertising. Contracts call for using at least 8000 ft of framing lumber, 18,000 ft³ of concrete, and $15,000 worth of advertising. If the construction cost for each Atlantic model is $30,000 and the construction cost for each Pacific model is $40,000, how many of each model should be built to minimize construction costs?