A linear programming (LP) model was used to develop the demand relation for CGW as a roughage ingredient in a cattle feedlot ration. The LP was designed to minimize the cost of a feedlot ration subject to a set of nutritional constraints. A total of 13 feed ingredients were included as activities in the LP, including 4 roughage ingredients (CGW, alfalfa, cottonseed hulls, and corn silage). The LP model was solved for the quantity of CGW used in the ration at varying prices of CGW and other roughage ingredients. The output from the LP model was used as data for a regression analysis to estimate the coefficients of the demand for CGW. The estimated demand relation was found to have an inelastic (vertical) segment when PCGW ≤ $70/ton, and an elastic segment (e=-3.8) when PCGW > $70/ton. The LP model was solved with and without CGW to determine the impact that CGW has on ration cost. Assuming the price of CGW equals $20/ton, we found a 5% reduction in ration cost from including CGW in the ingredient list for the LP model.