5
QuizMultiple Choice

Systems of Equations and Inequalities — Test

Question 5 • Algebra 2 with Probability

A sports memorabilia store makes 6 dollars profit on each football it sells and 5 point 5 0 dollars profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store can stock no more than 80 balls total during a single month. What is the maximum profit the store can make from selling footballs and baseballs in a typical month?

Answer
A
460 point 0 0 dollars
B
572 point 5 0 dollars
C
462 point 5 0 dollars
D
457 point 5 0 dollars

Explanation

Football profit is higher, so after stocking the minimum 40 baseballs, use the remaining capacity for footballs. That allows 40 footballs, for 40 × $6 + 40 × $5.50 = $460. This is within both sales ranges and uses all 80 available spots, so the maximum profit is $460.00, choice A.

AI-written and checked against the verified answer.

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