A manufacturing firm makes a production run of 3,750 pieces. Each piece is 78.30 millimeters long. The cost of material per meter of length is $2.40. Allowing 10% for waste and scrap, what is the material cost for the 3,750 pieces? Round to nearest dollar.

Answer 1

The total length of all the pieces is 3750 * 78.30 = <<3750*78.30=293625>>293,625 millimeters.
After accounting for waste and scrap, the total length needed is 293,625 + (293,625 * 0.10) = <<293625+(293625*0.10)=322987>>322,987.5 millimeters.
Converting to meters, this is 322,987.5 / 1000 = 322.9875 meters.
The material cost for the 3,750 pieces is 322.9875 * $2.40 = $<<322.9875*2.40=775.17>>775.17.
Rounded to the nearest dollar, the material cost is $775.