**This is a multi-step problem** - there are 4 parts!!

INFORMATION ABOUT THE QUESTIONS:

Problem 3 Radioco manufactures two types of radios. The only scarce resource needed to produce radios is labor. The company now has two laborers. Laborer 'l is willing to work as many as 40 hours per week andis 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 below: Radio 1 Price (3;) Resource Required 25 Laborer 1: 1 hour Laborer 2: 2 hours Raw material cost: $5 Radio 2 Price (3;) Resource Required 22 Laborer 1: 2 hour Laborer 2: 1 hours Raw material cost: $4 Letting x,- be the number of type i radios produced each week. Select the correct objective function and all the correct constraints for the LP. Select all that apply. [: Max 25x1 + 22x2 Max 3):] + 2X2 x1 + 2x; 5 4O 2x1+x2 550 Tili 2x1+x2 540 (Continuing Problem 3): Find the optimal solution using graphical method or simplex method. O (X1, X2) = (25,0) O (x1, X2) = (0,20) O (X1, X2) = (20,10) O (X1, X2) = (40,0)(Continuing Problem 3): If laborer 1 were willing to work only 30 hours per week, would the current basis remain optimal? (Continuing Problem 3): If laborer 2 were willing to work up to 60 hours per week, would the current basis remain optimal