Posted by j on .
A rectangular box is to be constructed from two different materials. The box will have a square base and open top. The material for the bottom costs $4.25/m2. The material for the sides costs $2.50/m2. Find the dimensions of the box with the largest volume if the budget is $500 for the material
cost= 4.25*a^2 + 2.5*(4 a*h)
but on the cost equation
take the derivative of Cost respect to a
but in the volume equation we can find
put that into the derivative of the cost
now you can put that into the cost equation, with cost at 500, and solve for a, then h.