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2Ezl 5.0 acres/hour acres/hr additional forces sent aGD BGA area burned area of burn assume attaaa behavior Burned Acreage burned area CBGA CBGAE CByA control interval cost function cost of sending CXGAH deceleration decrease depend detection dollar-men dollars dollars/acre dollars/man dollars/man-hour dy/dt E(zl economic examine the effect Ezlt)dt factor fire growth fixed cost functional relationship GA/Ezl given fire growth of fire growth rate increase incur initial attack problem l/8 acres large number level of suppression linear manpower minimal number minimum cost MODEL FOR INITIAL model of fire mop-up nonlinear costs number of additional number of forces number of suppression obtain optimal level optimal number possible PRELIMINARY MODEL proportional realistic reinforcements are sent resulting cost simple model stationary point suppressing the fire suppression forces total cost total manpower-hours transportation uniform distribution variable