SOLUTION: Chemical Products makes two insect repellents, Regular and Super. The chemical used for Regular is 15% DEET, and the chemical used for Super is 25% DEET. Each carton of repellent

Question 154110: Chemical Products makes two insect repellents, Regular and Super. The chemical used for Regular is 15% DEET, and the chemical used for Super is 25% DEET. Each carton of repellent contains 24 ounces of the chemical. In order to justify starting production, the company must produce at least twice as many cartons of Regular as ofSuper. Labor costs are $8 per carton for Regular and $6 per carton for Super. How many cartons of each repellent should be produced to minimize labor costs if 59,400 ounces of DEET are available? I only need help setting up the problem, the rest I can get... THANKS!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of cartons of Regular produced
Let = the number of cartons of Super produced
Then,
= the amount of DEET used in cartons of Regular
= the amount of DEET used in cartons of Super
and
is the ounces of chemical produced
therefore,
is the ounces of DEET produced
59,400 ounces of DEET are available, so

The problem says

In dollars, the labor costs are

These can be plotted as vs
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