A factory produces gasoline and diesel engines. Each week the factory is obligated to deliver at least 25 gasoline engines and at least 20 diesel engines. Due to physical limitations, however, the faculty cannot make more than 75 gasoline engines or more than 50 diesel engines in any given week. Finally, to prevent layoffs, a total of at least 60 engines must be produced. If gasoline engines cost $400 each to produce and diesel engines cost $500 each to produce, how many of each should be produced per week to minimize the cost? What is the minimum cost? Let x represent the number of gasoline engines produced and let y represent the number of diesel engines produced. a) Write the five linear constraint inequalities. Edit -> Insert- Formats- BIUx, x EN-E-I b) Write the objective function. State if it should be maximized or minimized. Edit -> Insert- Formats BIUX, E. ' c) Find the five corner points of the feasible region. State each point as an ordered pair (x, y). Edit -> Insert Formats- - BIUX, (> ... Ad 0