MK Manufacturing produces compressor and turbine blades for jet engines. The blades are manufactured from an alloy that is a mix of aluminum and titanium. Sheaths are part of the assembly that keep the compressor blades lightweight and are made from steel. In addition to fabrication, the parts must be put through an acid bath to show any deformities during quality inspection. Compressor blades use 8 lb of aluminum, 2 lb of titanium, and 15 lb of acid and have a profit contribution of $3,000. Sheaths require 3 lb of steel and 5 lb of acid and yield $1,500 in profit. Finally, the turbine blades require 6 lb of aluminum, 1.5 lb of titanium, and 10 lb of acid and yield a profit of $2,000. Warehouse storage is limited, and it can handle a maximum of 14,000 lb of aluminum, 7,000 lb of titanium, 6,000 lb of steel, and 25,000 lb of acid. In the next planning period, orders call for 1,500 compressor blades, 1,500 sheaths, and 2,000 turbine blades; thus, at least this many of each must be produced. Note that compressor blades and sheaths are used together, and the company must produce an equal number of these parts. Formulate and solve a linear optimization model. You will discover that the solution is infeasible. Determine what must be done in order to obtain a feasible solution.