A lumber store stocks dowels in one standard length of 200 cm. Each dowel costs $26.50. A customer wants the store to cut her at minimal cost thirty dowels of length 95 cm, fourteen dowels of length 63 cm, thirty-five dowels of length 37 cm, and fifty dowels of length 20 cm. She will receive a recycling credit of 5 cents per cm for any wood declared to be waste. (a) Formulate an algebraic model for the problem. (b) Use LINGO to solve this model. (c) State the solution in words.