Question
A pet store sells three different starter kits for 10-gallon aquariums. Each kit I requires 2 filters, 2 pounds of gravel, and 1 package of
A pet store sells three different starter kits for 10-gallon aquariums. Each kit I requires 2 filters, 2 pounds of gravel, and 1 package of fish food for a profit of $10. Each kit II requires 2 filters, 2 pounds of gravel, and no package of fish food for a profit of $13. Each kit III requires 1 filter, 3 pounds of gravel, and 2 packages of fish food for a profit of $17. The store has 68 filters, 84 pounds of gravel, and 42 packages of fish food available. If the store makes as many of kit I as kits II and III together, how many of each kit should be created to maximize profit? Let x be the amount kit II and y the amount of kit III produced. Write the five inequalities associated with this problem. Write the objective function for this problem. Graph your inequalities on the grid below. Label the feasible set.?
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