The Sandy Dandy Dune Buggy Company makes two models of off-road vehicles: the Sand Crab and the Surf Mobile. They have come to you to find out how many of each vehicle they should produce each week to maximize their profits. They gave you the following information:
They can get the basic parts to produce as many as 15 Sand Crabs per week.
They can get the basic parts to produce as many as 12 Surf Mobiles per week.
Two parts must be special ordered: a unique exhaust manifold clamp and
a specially designed suspension joint.
Each Sand Crab requires 5 clamps and 2 suspension joints.
Each Surf Mobile requires 3 clamps and 6 suspension joints.
The maximum number of clamps available each week is 81.
The maximum number of suspension joints available each week is 78.
Labor is limited as well because they have 12 employees who can only work
a maximum of 37.5 hours per week.
A Sand Crab requires 20 man hours to assemble.
A Surf Mobile requires 30 man hours to assemble.
The profit margin on each Sand Crab is $500 and each Surf Mobile is $1,000.
Use Linear Programming to write an Objective Function for Profit and 7 Constraints inequalities. Define your variables first! Explain how you set up each equation and getting them into graph-ready formats. Make a color coded graph showing the feasible region and each equation, don’t forget to put the Profit equation on there but really high and out of the way. Write a letter to the Sandy Dandy Dune Co. and tell them what you did, and what you found. Creativity in your letter is always welcome .
The Sandy Dandy Dune Buggy Company makes two models of off-road vehicles: the Sand Crab and the Surf Mobile. They have come to you to find out how many of each vehicle they should produce each week to maximize their profits. They gave you the following information:
They can get the basic parts to produce as many as 15 Sand Crabs per week.
They can get the basic parts to produce as many as 12 Surf Mobiles per week.
Two parts must be special ordered: a unique exhaust manifold clamp and
a specially designed suspension joint.
Each Sand Crab requires 5 clamps and 2 suspension joints.
Each Surf Mobile requires 3 clamps and 6 suspension joints.
The maximum number of clamps available each week is 81.
The maximum number of suspension joints available each week is 78.
Labor is limited as well because they have 12 employees who can only work
a maximum of 37.5 hours per week.
A Sand Crab requires 20 man hours to assemble.
A Surf Mobile requires 30 man hours to assemble.
The profit margin on each Sand Crab is $500 and each Surf Mobile is $1,000.
Use Linear Programming to write an Objective Function for Profit and 7 Constraints inequalities. Define your variables first! Explain how you set up each equation and getting them into graph-ready formats. Make a color coded graph showing the feasible region and each equation, don’t forget to put the Profit equation on there but really high and out of the way. Write a letter to the Sandy Dandy Dune Co. and tell them what you did, and what you found. Creativity in your letter is always welcome .