A licence to shoot a moose costs $115 for residents and $920 for nonresidents. The government must decide how many licenses to issue in both categories. There is a demand up for up to 30,000 resident licenses, and up to 12,000 nonresident licenses; these are system constraints. The government has several goal priorities which in descending order of importance are:

1) earn at least $12,006,000 in revenue

2) issue at least 80% of licences to residents

3) limit the total number go licenses to 40,000

a) formulate this goal programming model

b) give the algebraic model for the first sub-problem

*need algebraic models for 3 sub problems