Radioco manufactures two types of 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 40 hours per week and is paid $5 per hour. Laborer 2 will work up to 50 hours per week for $6 per hour. The price as well as the resources required to build each type of radio are given in the Table. Letting xi be the number of Type i radios produced each week, Radioco should solve the following LP: 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?
Radioco manufactures two types of 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 40 hours per week and is paid $5 per hour. Laborer 2 will work up to 50 hours per week for $6 per hour. The price as well as the resources required to build each type of radio are given in the Table. Letting xi be the number of Type i radios produced each week, Radioco should solve the following LP: 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?
Chapter16: The Markets For Labor, Capital, And Land
Section: Chapter Questions
Problem 13P
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0. Radioco manufactures two types of 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 40 hours per week and is paid $5 per hour. Laborer 2 will work up to 50 hours
per week for $6 per hour. The price as well as the resources required to build each type of
radio are given in the Table. Letting xi be the number of Type i radios produced each week,
Radioco should solve the following LP:
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?
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