Solve the problem.
-Mrs. White wants to crochet hats and afghans for a church fundraising bazaar. She needs 6 hours to make a hat and 4 hours to make an afghan, and she has no more than 58 hours available. She has material for no more than
13 items and no more than 11 afghans. The bazaar will sell the hats for $24 each and the afghans for $6 each.
How many of each should she make to maximize the income for the bazaar? What is the maximum income?
A) 3 hats, 10 afghans; $132
B) 11 hats, 2 afghans; $276
C) 5 hats, 8 afghans; $168
D) 10 hats, 3 afghans; $258

Question

Quizplus · Accepted Answer

Mrs. White can make a maximum of 13 items, and she has 58 hours available. She needs 6 hours to make a hat and 4 hours to make an afghan. So, she can make a maximum of 13/6 = 2.17 hats and 13/4 = 3.25 afghans. Since she cannot make a fraction of an item, she can make a maximum of 2 hats and 3 afghans. However, she has material for no more than 11 afghans. So, she can make a maximum of 2 hats and 10 afghans. The bazaar will sell the hats for $24 each and the afghans for $6 each. So, the maximum income she can make is 2 * $24 + 10 * $6 = $132.

Solve the Problem. -Mrs. White Wants to Crochet Hats and Afghans for a Afghans