The following business problem can be modeled as a linear program. Use AMPL syntax to write out a.mod file that does the following: Declares sets, parameters, decision variables, objective function, and constraints. (It is expected that your written code will have errors - that is ok, just do your best! If you have time, look at an example to help you.) Business Problem Mystery Ranch Backpack Company produces two types of hunting backpacks - Beartooth and Sawtooth. To manufacture each one, the following units are required. Each Beartooth backpack requires 3 square feet of nylon, and 3 zippers Each Sawtooth backpack requires 2 square feet of nylon, and 7 zippers The company has 1,000 square feet of nylon in stock and 250 zippers. There is no more material available until next year, so production this year is limited to the current nylon and zipper inventory. The company sells Beartooth backpacks for $450 and Sawtooth backpacks for $600. The company wishes to maximize revenue