A sorority is knitting hats and scarves as a fundraiser for a local charity. The members can produce as many as 100 hats and scarves in the amount of time they have, and yarn costs $6 for a hat and $5 for a scarf. Their budget is $900 for the project. When they sell the hats and scarves, they raise $5 on each hat and $2 on each scarf. Assuming they can sell as many of each as they want, how many hats and scarves should be made to maximize the amount they raise?

Question

Quizplus · Accepted Answer

The sorority should make 100 hats and 0 scarves to maximize the amount they raise. This is because they can make more money selling hats than scarves, and they have a limited budget.

A Sorority Is Knitting Hats and Scarves as a Fundraiser