The Gillette Company produces two popular battery-operated razors, the M3Powerâ„¢ and the Fusion Powerâ„¢. Because of demand, the number of M3Powerâ„¢ razors is never more than one-half the number of Fusion Powerâ„¢ razors. The factory's production cannot exceed 800 razors per day. Let x = the number of M3Powerâ„¢ razors and y = the number of Fusion Powerâ„¢ razors produced per day.
a) Write a system of inequalities to express the conditions of the problem.
b) Graph the feasible region of the system on a coordinate plane.
c) Determine the maximum profit if each M3Powerâ„¢ razor sells for 20 and each Fusion Powerâ„¢ razor sells for 30.
