Reference no: EM132865113
A licence to shoot a moose costs $115 for residents and $920 for non- residents. The government must decide how many licences to issue in both cate- gories. There is a demand for up to 30,000 resident licences, and up to 12,000 non- resident licences; these are system constraints. The government has several goal priorities which in descending order of importance are (i) earn at least $12,006,000 in revenue (ii) issue at least 80% of licences to residents, and (iii) limit the total number of licences to 40,000.
(a) Formulate this goal programming model.
(b) Give the algebraic model for the ?rst sub-problem, and solve this using LINGO or the Excel Solver.
(c) Embedding the solution from (b), give the algebraic model for the second sub- problem, and solve this using LINGO or the Excel Solver.
(d) Embedding the solution from (c), give the algebraic model for the third sub- problem, solve this using LINGO or the Excel Solver, and state the overall solution in words.