Determine the is this agent maximizing is utility, Microeconomics

1. Suppose the wage rate is w = 1. An agent is working 6 hours per day and consumes 5 units of goods per day. Suppose that the agent claims to be indifferent between his current situation or working one more hour in exchange for two additional units of consumption. Is this agent maximizing is utility? Why? Should he be working more hours? or fewer?

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