SOLUTION: Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is \$1.80. The total cost to regrind 80 platens is \$500. Find the linear cost function to regrind platen

Algebra ->  -> SOLUTION: Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is \$1.80. The total cost to regrind 80 platens is \$500. Find the linear cost function to regrind platen      Log On

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 Click here to see ALL problems on Linear-equations Question 288487: Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is \$1.80. The total cost to regrind 80 platens is \$500. Find the linear cost function to regrind platens. If reground platens sell for \$10.60 each, how many must be reground and sold to break even?Answer by stanbon(60776)   (Show Source): You can put this solution on YOUR website!Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is \$1.80. The total cost to regrind 80 platens is \$500. ----- You have a slope = 1.8 and a point (80,500) ------- Find the linear cost function to regrind platens. cost = 1.8x + b Use the point to solve for "b": 500 = 1.8*80 + b b = 356 --- Equation: cost = 1.8x + 356 ----------------------------------- If reground platens sell for \$10.60 each, how many must be reground and sold to break even? Revenue = 10.6x -------------------------- Break even means Cost = Revenue: 1.8x + 356 = 10.6x 8.8x = 356 x = 40.45 Round down to 40 (the breakeven number of platens) ======================================================== Cheers, Stan H.