# Radioco manufactures two types of radios. The only scarce resource that is needed to produce radios.

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 Table 1. 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?
c. If laborer 1 were willing
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 Table 1. 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?
c. If laborer 1 were willing to work only 30 hours per week, then 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, then would the current basis remain optimal? Find the new optimal solution to the LP.
e. Find the shadow price of each constraint.

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