10. Radioco manufactures two types of radios. The only scarce resource that is needed toproduce radios is labor. At present, the company has two laborers. Laborer 1 is willing towork up to 40 hours per week and is paid $5 per hour. Laborer 2 will work up to 50 hoursper week for S6 per hour. The price as well as the resources required to build each type ofradio are given in the Table. Letting xi be the number of Type i radios produced each week,Radioco should solve the following LP:max z = 3x, + 2x2x¡ + 2x, < 402x1 + x2 < 50s.t.X1, X2 2 (0a) 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?3c) If lahorer 1 were willing to work only 30 hours per week, then would the current hasisremain optimal? Find the new optimal solution to the LP.d) If laborer 2 were willing to work up to 60 hours per week, then would the current basisremain optimal? Find the new optimal solution to the LP.e) Find the shadow price of each constraint.Radio 1Radio 2ResourceRequiredPrice (S)ResourceRequiredPrice (S)Laborer 1:Laborer 1:2 hours2522I hourLaborer 2:2 hoursLaborer 2:2 hoursRaw materialcost: $5Raw materialcost: $4

given system max z=3x1+2x2 subject to x1+2x2≤402x1+x2≤50x1,x2≥0

Answered: 0. Radioco manufactures two types of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 5PFA

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