2x+3y=60 solve for x...
x=(60-3y)/2
p=xy^3, using x from above:
p=y^3(60-3y)/2
p=(60y^3-3y^4)/2
dp/dy=(180y^2-12y^3)/2
dp/dy=90y^2-6y^2
dp/dy=0 when:
90y^2-6y^3=0
6y^2(15-y)=0, we know y>0 so
y=15, since x=(60-3y)/2
x=7.5
(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
Answer:
7 crates of tomatoes
Step-by-step explanation:
588÷84=7
Answer:
n=9
Step-by-step explanation:
7n+5=68 Subtract 5 on both sides.
<u>-5 -5</u>
7n=63 Divide both sides by 7.
<u>/7 /7</u>
n=9
Hope this helps! Have a nice day ^^
Answer:
maximum 4 Mimimum I'm 0 or maximum 10 minimum 0
To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.
Expand (4x)².
Calculates 4 to the power of 2 and gets 16.