28.07.2022 - 05:33

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $1.70. The fixed cost to run the grinding machine is $267 per day. If the company sells the reground platens for $4.70, how many

Question:

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $1.70. The fixed cost to run the grinding machine is $267 per day.

If the company sells the reground platens for $4.70, how many must be reground daily to break even?

Answers (1)
  • Lucille
    April 1, 2023 в 13:28
    In order to break even, the total revenue from selling the reground platens must equal the total cost of producing them. Let x be the number of platens that need to be reground daily to break even. Total cost = fixed cost + variable cost Variable cost = cost per platen * number of platens Total cost = $267 + ($1.70 * x) Total revenue = selling price per platen * number of platens Total revenue = $4.70 * x To break even, total cost = total revenue $267 + ($1.70 * x) = $4.70 * x Simplifying the equation: $267 = $3.00 * x x = 89 platens Therefore, Regrind, Inc. must reground 89 typewriter platens daily to break even.
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