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1.(20 pts) A manufacturing plant can produce up to 4,100 hydraulic pumps per month. Property taxes cost S100,000 per month, electricity costs $250,000 per month. Required maintanence costs $104,000 per month, and administrative costs run $50,000 per month. Each pump requires $100 of labor and S66 of parts and materials to produce. The pumps are sold for $328 each. Assuming all of the pumps that are produced will be sold, what is the minimum number of pumps that must be produced each month to make a profit of at least 10%