Item input (in units) to make one unit of Item Max availability A B C D E F G per day RM1 0.3 0.2 0.2 0.3 0.2 0.1 0.1 300 RM2 0.2 0.4 0.4 0.1 0.4 0.3 0.4 500 RM3 0.3 0.2 0.1 0.2 0.2 0.3 0.1 450 M1-time (hours) 0.02 0.03 0.04 0.01 0.03 0.02 0.03 70 M2-time (hours) 0.05 0.02 0 0.06 0.04 0.02 0.05 80 Profit ($unit) 13 10 7 20 14 10 19 The sales manager feels that the selling price (per unit) of product F can be increased by $2 without affecting its demand. Would this change lead to any changes in the optimum production plan? What is the effect of this change on the total profit of the company?