The Company manufactures paring knives and pocket knives. Each paring knife requires 3​ labor-hours, 7 units of​ steel, and 4 units of wood. Each pocket knife requires 6​ labor-hours, 5 units of​ steel, and 3 units of wood. The profit on each paring knife is​$3, and the profit on each pocket knife is​ $5. Each day the company has available 78 labor-hours,146 units of​ steel, and 114 units of wood. Suppose that the number of​ labor-hours that are available each day is increased by 27. Required:
Use sensitivity analysis to determine the effect on the optimal number of knives produced and on the profit.