A garden store prepares various grades of pine bark for mulch: nuggets ( x1 ), mini-nuggets ( x2 ), and chips ( x3 ). The process requires pine bark, machine time, labor time, and storage space. The following model has been developed. Maximize 9 x1+9 x2+6 x3 (profit)

Bark 5x1 + 6x2+3x3 < 600 pounds

machine 2x1+4x2+5x3 < 600 minutes

labor 2x1+4x2+3x3 < 480 hours

storage 1x1 + 1x2+ 1x3 < 150 bags

x1,x2,x3 >0

If profits on chips increased to $7 per bag and profits on nuggets decreased by $.60, would the optimal quantities change? Would the value of the objective function change? If so, what would the new value(s) be? h. If the amount of pine bark available decreased by 15 pounds, machine time decreased by 27minutes, and storage capacity increased by five bags, would this fall in the range of feasibility for multiple changes? If so, what would the value of the objective function be?

If the amount of pine bark available decreased by 15 pounds, machine time decreased by 27minutes, and storage capacity increased by five bags, would this fall in the range of feasibility for multiple changes? If so, what would the value of the objective function be?