document.write( "Question 176820This question is from textbook college algebra/ blitzer
\n" ); document.write( ": The firm currently uses 50,000 workers to produce 200,000 units of output per day. The daily wage (per worker) is $80, and the price of the firm’s output is $25. The cost of other variable inputs is $400,000 per day. Although you don’t know the firm’s fixed cost, you know that it is high enough that the firm’s total costs exceed its total revenue.\r
\n" ); document.write( "\n" ); document.write( "So far I have come up with the TVC being $800,000. Quantiy sold is 500,000, but i am still having trouble any suggestions. All help is appreciated. \n" ); document.write( "
Algebra.Com's Answer #132300 by gonzo(654)\"\" \"About 
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cost per worker = $80.00 per day.
\n" ); document.write( "50,000 workers * $80.00 per day = $4,000,000 per day.
\n" ); document.write( "price per unit = $25.00.
\n" ); document.write( "200,000 units per day * $25.00 = $5,000,000 per day.
\n" ); document.write( "cost of other variable inputs is $400,000 per day.
\n" ); document.write( "Profit = Revenue minus Cost
\n" ); document.write( "cost = fixed cost plus variable cost.
\n" ); document.write( "variable cost = $4,000,000 per day plus $400,000 per day = $4,400,000 per day.
\n" ); document.write( "revenue = $5,000,000 per day.
\n" ); document.write( "your profit formula is:
\n" ); document.write( "let p = profit.
\n" ); document.write( "let r = revenue
\n" ); document.write( "let x = fixed cost
\n" ); document.write( "let v = variable cost
\n" ); document.write( "p = r - (x + v)
\n" ); document.write( "r = $5,000,000
\n" ); document.write( "x = x
\n" ); document.write( "v = $4,400,000
\n" ); document.write( "p = $5,000,000 - (x+$4,400,000)
\n" ); document.write( "removing parentheses gets:
\n" ); document.write( "p = $5,000,000 - x - $4,400,000
\n" ); document.write( "combining like terms gets:
\n" ); document.write( "p = $600,000 - x
\n" ); document.write( "since cost exceeds profit, this means that profit has to be less than or equal to $0.00
\n" ); document.write( "this means that:
\n" ); document.write( "p <= $0.00
\n" ); document.write( "since p = $600,000 - x, this means that:
\n" ); document.write( "$600,000 - x <= $0.00
\n" ); document.write( "subtract $600,000 from both sides of the equation and it becomes:
\n" ); document.write( "-x <= $600,000
\n" ); document.write( "multiply both sides of the equation by (-1) and it becomes:
\n" ); document.write( "x >= $600,000
\n" ); document.write( "since multiplying both sides of an inequality by (-1) reverses the inequality.
\n" ); document.write( "your answer:
\n" ); document.write( "fixed cost has to be greater than or equal to $600,000.
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