Suppose you are in the business of manufacturing white board markers. You make two types: Standard and Heavy Duty. You sell these to wholesalers for $1O/box of 10 for Standard Markers and $15/box of 10 for Heavy Duty markers. Each standard marker is made up of 3 oz. of plastic and 1 fl. Oz. of marker fluid. Each Heavy Duty Marker is made up of 5 oz. of plastic and 1.5 fl. oz of marker fluid. Plastic costs $1/lb and marker fluid costs $5/gal. Each marker takes 30 seconds to manufacture by machine, but the machine can manufacture up to 10 at one time. Machine time costs $60/hr

Set up the profit function for each type of marker, USING DIMENSIONAL ANALYSIS as you would have to do for a linear program objective function where you wanted to maximize profit. It is probably easiest to figure out profit per marker rather than profit per box, but you may use either unit, as long as you are consistent and use the same unit throughout the entire problem.

SHOW ALL YOUR WORK TO GET CREDIT. Warning: do NOT skip using units at any stage. Numbers multiplied together without units in intermediate calculations, but with units attached to them at the end will earn you ZERO points, even if your 'number' is correct.