App Store 7:50 PM Tue Oct 13 @ 10% Chapter 6.1 Problem 5P Done Radioco manufactures two types of radios. The only scarce resource needed to produce radios is labor. The company now has two laborers. Laborer 1 is willing to work as many as 40 hours per week and is paid $5 per hour. Laborer 2 is willing to work up to 50 hours per week and is paid $6 per hour. The price as well as the resources required to build each type of radio are given in Table 1. Letting xi be the number of type i radios produced each week, show that Radioco should solve the following LP: 2, + $50 a For what values of the price of a Type 1 radio would the current basis remain optimal? b For what values of the price of a Type 2 radio would the current basis remain optimal? cIf laborer 1 were willing to work only 30 hours per week, would the current basis remain optimal? Find the new optimal solution to the LP. d If laborer 2 were willing to work up to 60 hours per week, would the current basis remain optimal? Find the new optimal solution to the LP. e Find the shadow price of each constraint. TABLE 1 Radio 1 Radio 2 Price ($) Resource Required Price ($) 25 22 Laborer 1: 1 hour 1 hours Raw material cost: $5 Resource Required Laborer 1: 2 hours. Laborer 2:2 hours Raw material cost: $4