Question

Captain Jim is going to load his pirate ship with barrels. He has room for 12 barrels. He has allotted for 103 pounds of barrels on his ship. He can choose from 8-pound barrels (the variable a) or 11-pound barrels (the variable b). Which equations would be a constraint to Captain Jim maximizing his barrel load?

Answer 1

8a = 103 - 11b

Explanation:

Given that:

Number of barrels = 12

Pounds of barrel = 103 pounds

Available barrel options

a = 8 pound barrel

b = 11 pound barrel

Number constaint;

a + b = 12

Pounds of barrel constraint ;to mazimize barrel load ;

(8*a) + (11*b) = 103

8a + 11b = 103

8a = 103 - 11b ; 11b = 103 - 8a