Find two numbers A and B (with A≤B) whose difference is 36 and whose product is minimized.

Question

asked Mar 26, 2018 120k views

1 Answer

Thomas Owens · Answer 1 · 2018-03-31T15:24:20+0000

B-A=36
AB=max

B-A=36
add A to both sides
B=36+A
sub that for B in other equation
A(36+A)=max
distribute
A²+36A=max
take derivitive
2A+36=max'
set to zero to find A value
2A+36=0
2A=-36
A=-18

sub back

B=36+A
B=36-18
B=18

de numbers are -18 and 18
the product is 324

Find two numbers A and B (with A≤B) whose difference is 36 and whose product is minimized.

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

Please log in or register to add a comment.

Related questions

Categories

Other Questions