Answer this using both graphical analysis and MS Excel. Radioco manufactures two types of radios. You may assume they can produce partial radios. The only scarce resource that is needed to produce radios is labor. At present, the company has two laborers. Laborer 1 is willing to work up to 45 hours per week and is paid $7 per hour. Laborer 2 will work up to 60 hours per week for $10 per hour. The price as well as the resources required to build each type of radio are given below. Radio 1 Radio 2 Price ($) Resource Required Price ($) Resource Required Laborer 1: 2 hours Laborer 2: 1 hour Laborer 1: 1 hour Laborer 2: 2 hours 35 40 Raw material cost: $6 Raw material cost: $4 Letting x be the number of Type i radios produced each week, Radioco should solve the following LP: max z= 5x +9x2 s.t. 2x1 + x2 45 x + 2x2 60 X1, X220 1. For what values of the price of a Type 1 radio would the current basis remain optimal? 2. For what values of the price of a Type 2 radio would the current basis remain optimal? 3. If laborer 1 were willing to work only 30 hours per week, then would the current basis remain optimal? Find the new optimal solution to the LP. 4. If laborer 2 were willing to work up to 45 hours per week, then would the current basis remain optimal? Find the new optimal solution to the LP. 5. Find the shadow price of each constraint.