Geoffrey needs to purchase baseballs and bats for his youth baseball league. He'll need at least 30 pieces of equipment, but he only has $870 to spend. Baseballs cost $20 each and bats cost $35 each. If Geoffrey wants to purchase the most amount of equipment and still stay within his budget, which combination of baseballs and bats is optimal?

(21, 9)

(29, 1)

(40, 2)

(33, 6)

Question

Mathematics

Ayanna

10 December, 20:31

Geoffrey needs to purchase baseballs and bats for his youth baseball league. He'll need at least 30 pieces of equipment, but he only has $870 to spend. Baseballs cost $20 each and bats cost $35 each. If Geoffrey wants to purchase the most amount of equipment and still stay within his budget, which combination of baseballs and bats is optimal?

(21, 9)

(29, 1)

(40, 2)

(33, 6)

+3

Answers (1)

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Porter Cruz · Answer 1

21, 9) = 21*$20+9*$35=$735

It is at least 30 pieces of equipment, but he can buy more equipment and still be within his budge.

(29, 1) = 29*$20+1*$35=$615

It is at least 30 pieces of equipment, but he can buy more equipment and still be within his budge.

(40, 2) = 40*$20+2*$35=$870

He has more thn 30 pieces of equipment, and he is at his budge.

(33, 6) = 33*$20+6*$35=$870

He has more thn 30 pieces of equipment, and he is at his budge. This combination is better because it allows him to have more bats available to his team. So this one is optimal.