Word Problem Maximizing A Bonus

Pauline Wong spends 4 hours selling a used car and 6 hours selling a new car. She works no more than 40 hours per week. In order to receive a bonus, she must sell at least one used car and four new cars each week. In that case, she recives a bonus of $180.00 for each used car and $290.00 for each new car. How many used and how many new cars should she try to sell to maximize her bonus?

Just from the data, you can see that she gets $180/4 or $45/hour worked for the used cars and $290/6 or $48.33/hour worked for the new cars. In this case, I would sell one used car and the rest new cars — this would mean one used car and 6 new cars.

4 + 6X = 40

I hope this helps. Thanks for asking.

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