Susan is a full time student who also manufactures clothes, she produces shoes, hats and belts. Susan’s company has 800 hours of labor, 1400 pounds of leather, and 2200 pounds of fabric to...

Susan is a full time student who also manufactures clothes, she produces shoes, hats and belts. Susan’s company has 800 hours of labor, 1400 pounds of leather, and 2200 pounds of fabric to manufacture. Profit made from shoes is $550, $420 for hats and $390 for belts. How many units should Susan produce in order to maximize profits?

Shoe requirements

-3 hour labor

-4 pounds of leather

-6 pound of fabric

Hat requirements

-2 hour labor

-2 pounds of leather

-4 pounds of fabric

Belt requirements

–1 hour of labor

-2 pounds of leather

-1 pound of fabric

Solve this issue by using linear programming. Make sure you define the decision variables, develop an objective function and identify all the constraints.