Reference no: EM131344951

(1a) Giapetto's Woodcarving, Inc., manufactures two types of wooden toys: soldiers and trains.  A soldier sells for $27 and uses $10 worth of raw materials.  Each soldier that is manufactured increases Giapetto's variable labor and overhead costs by $14.  A train sells for $21 and uses $9 worth of raw materials.  Each train built increases Giapetto's variable labor and overhead costs by $10.  The manufacture of wooden soldiers and trains requires two types of skilled labor: carpentry and finishing.  A soldier requires 2 hours of finishing labor and 1 hour of carpentry labor.  A train requires 1 hour of finishing and 1 hour of carpentry labor.  Each week, Giapetto can obtain all the needed raw material but only 100 finishing hours and 80 carpentry hours.  Demand for trains is unlimited, but at most 40 soldiers are bought each week.  Giapetto wants to optimize weekly profit (revenues - costs). (Format your answers for at least 2 decimal places. No dollar signs and no commas.)

2)Farmer Jones must determine how many acres of corn and wheat to plant this year. An acre of wheat yields 25 bushels of wheat and requires 10 hours of labor per week.  An acre of corn yields 10 bushels of corn and requires 4 hours of labor per week.  All wheat can be sold at $4 a bushel, and all corn can be sold at $3 a bushel. Seven acres of land and 40 hours of labor are available. Government regulations require that at least 30 bushels of corn be produced during the current season.  How many aces of wheat and how many acres of corn should be planted?  (Format your answers for at least 2 decimal places. No dollar signs and no commas.)