Problem 2McD onnell Douglas is now concerned with the production of radios to be used in the assembling of aircraft. Over the next four weeks, McDonnell Douglass has estimated that 300,700,900, and 800 radios will be required each week, which must be met. The production cost of a radio is $100 for the first two weeks, and increases to $150 for the last two weeks. Each week a maximum of 700 radios can be produced. In addition, McDonnell Douglas can employ overtime during the second and third weeks. This increases weekly production by an additional 200 radios, but the cost of production increases by $50 per radio (note: this $50 increases in production cost only applies to radios produced using overtime). Excess production can also be stored at a cost of $30 a radio per week. Formulate a linear program to help McDonnell Douglass minimize the total cost. Clearly define all decision variables and provide a description of the objective function and constraints