dear professors can you help my operation management question?

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2. Radioco mamictures two types of radios. The only scarce resource that is needed to produce radio in labor. The company now has two laborers. Laborer one is willing to work up to 40 hours per week ant labore 2 is willing to work up to 50 hours per week Each type 1 ratio sells for $3, and each type 2 radio sells for $2. Resources required to build each type of radio is given in the table below Radioco wants to maximize the profit gained from selling radio Laborer 1 Laborer Radio type 1 hour 2 hours Radio type 2 2 hours 1 hour Formation Lex, be the number of type 1 radios produced each week Lat be the sumber of type 2 radio produced each week maxx-profit LL X 210 labor 1 hour 2+X550 labores hows) XXO The formation standard formi -40 2-50 In the optimal south-sode Them NIV de b. A type 3 radio is under consideration for production. The specifications of a type 3 radio are as follows itsells for 35, requires 3 hours from laborer 1 and 4 hours from laborer 2 Should Radioco manufacture any Type 3 radios? Why or Why not? (Show your work.) (20 points) 2. Radioco manufactures two types of radios. The only scarce resource that is needed to produce radios is labor. The company now has two laborers. Laborer one is willing to work up to 40 hours per week and laborer 2 is willing to work up to 50 hours per week Each type 1 radio sells for $3, and each type 2 radio sells for $2. Resources required to build each type of radio is given in the table below. Radioco wants to maximize the profit gained from selling radios. Laborer 1 Laborer 2 Radio type 1 1 hour 2 hours Radio type 2 2 hours 1 hour Formulation Let xi be the number of type 1 radios produced each week Let x2 be the number of type 2 radios produced each week max z = 3x1 + 2x2 (profit) St. xi + 2x2