Question

4.) A contractor builds two models of boathouses: the Atlantic and the Pacific. Each Atlantic model requires 1000 ft of framing lumber, 3000cubic ft of concrete, and $2000 for advertising.

Each Pacific model requires 2000 ft of framing lumber, 3000 cubic ft of concrete, and$3000 for advertising. Contracts require that they use at least 8000 ft of framing lumber, 18,000 cubic ft of concrete, and $15,000 worth of advertising. If the construction cost for each Atlantic model is $30,000and $40,000 for each Pacific model, how many of each model should the contractor build to minimize construction costs? If x = the number of Atlantic and y = the number of Pacific models, write the function that the contractor wants to minimize. Write the constraint inequalities for this situation, but do NOT graph and solve the problem.

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