The Midwest Manufacturing Company is preparing its capital budget for the next 2 years. It has the following projects available: (The cash flow generated form any accepted projects will not be available for investment in other projects of this set) Project A B C E Investment at t=0 $-350,000 -500,000 0 -300,000 -100,000 Cash flows $90,000 for t=1 to 9 Investment at t=1 0 -300,000 $170,000 for t=2 to 16 -300,000 $80,000 for t=2 to 8 -300,000 0 $140,000 for t=2 to 10 $45,000 for t=1 to 6 The company financial analysts have determined that Midwest can provide $900,000 (at t=0) and $700,000 (at t=1) in the next 2 years for capital investment. The company's MARR is 15%. The design engineers have specified that project C is an extension of project B and hence cannot be undertaken separately. Formulate the problem as a linear program. (Just formulate the problem and you are not required to solve the formulation).