A design engineer has designed a product as a casting that has a total volume of 100 in.?. The metal used is aluminum, which has a density of 0.10 lb/in.’. The metal is melted in a gas furnace, green...

A design engineer has designed a product as a casting that has a total volume of 100 in.?. The metal used is aluminum, which has a density of 0.10 lb/in.’. The metal is melted in a gas furnace, green sand molding is used, and the estimates of the various yield and scrap factors are:

If the hot metal costs are $3,00/lb, the environmental costs are $10.00/ lb, and the credit for scrap and returns are $0.50/lb, what should be the total metal cost for the casting? (casting weight 10 lb; pouring weight 26.52 lb; runner weight 13.86 lb; casting scrap 1.13 lb; finishing scrap 0.20 lb; melt loss 1.33 lb; Cost = $85.26)