Question 33696
Under 10lb = 3x
15 lb = x
from 10lb 10 15lb = y
3x+x+y=150
y=150-4x
Max value is 150:
Under 10lb the charge is $3
<pre><b>From 10lb to 15lb the charge is $5
More that 15lb the charge is $7.5
Total profit: $680
Equation:
3(3x)+5(y)+7.5(x)=680
9x+5y+7.5x=680
16.5x+5(150-4x)=680
16.5x-20x=680-750
-3.5x=-70
x=20
3(20)=60
y=150-4(20)
y=70
<font color = red>Hence, for 15lb or more their were 20 pakages, for 10lb to 15lb their were 70 pakages and for under 10lb their were 70 pakages.</font>
Paul.