How to do running total calculation with zero out negative value from last time period

I worked on manually typing using your image data:

Data table Input:

Added measures: I added lot more measures to go through the data! Remove those not needed! 

 MEASURE 'Table1'[Day Supply] = sum(Table1[Supply])

    MEASURE 'Table1'[Day Demand] = sum(Table1[Demand])

    MEASURE 'Table1'[Day Balance Adjusted] = [Day Supply] - [Day Demand]  

	MEASURE 'Table1'[CumulativeSupply] = CALCULATE(SUM('Table1'[Supply]), FILTER( ALL('Table1'), 'Table1'[Date] <= MAX('Table1'[Date])))

	MEASURE 'Table1'[CumulativeDemand] = CALCULATE(SUM('Table1'[Demand]), FILTER( ALL('Table1'), 'Table1'[Date] <= MAX('Table1'[Date]))) 
  
MEASURE 'Table1'[Adjusted Beginning Balance] =  
	VAR CurrentDate = MAX('Table1'[Date])
	VAR PreviousDate = CALCULATE(MAX('Table1'[Date]), FILTER(ALL('Table1'), 'Table1'[Date] < CurrentDate))
	RETURN IF( ISBLANK(PreviousDate), 0,
        VAR PreviousClosingBalance = 
            SUMX(
                FILTER( ALL('Table1'), 'Table1'[Date] = PreviousDate),
                VAR _DayBeforeDate = CALCULATE(MAX('Table1'[Date]), FILTER(ALL('Table1'), 'Table1'[Date] < PreviousDate))
				VAR _TempCalc1 = CALCULATE([Day Balance Adjusted], FILTER(ALL('Table1'), 'Table1'[Date] = _DayBeforeDate))   
                VAR PreviousBeginningBalance = IF(ISBLANK(_DayBeforeDate), 0, IF( _TempCalc1 > 0,_TempCalc1, 0) )
                RETURN PreviousBeginningBalance + CALCULATE([Day Balance Adjusted], FILTER(ALL('Table1'), 'Table1'[Date] = PreviousDate))
            )
        RETURN
            IF( PreviousClosingBalance > 0, PreviousClosingBalance, 0 )
    )
	
	
	
	
	MEASURE 'Table1'[ClosingBalance] = [Adjusted Beginning Balance] + [Day Balance Adjusted] 
	 
	MEASURE 'Table1'[BeginningBalance] = -- Unadjusted Beginning Balance = 
		var _sel = MAX( Table1[Date] )
		var _calc2 = SUMX( FILTER( all('Table1'), Table1[Date] < _sel), COALESCE([Day Balance Adjusted], 0) )
		return COALESCE(_calc2, 0)
		

Sample output:
Regular matrix:

Matrix ... switch values to rows: 

hope this helps!