Blare

A container with a square base, vertical sides, and open top is to be made from 200ft^2 of material. Find the dimensions (length of base and the height) of the container with greatest volume. If appropriate, leave your answer in radical form and enter all...

The cost of producing x units of a product is given by C(x)=700+ 80x - 80ln(x), x is greater or equal to 1. Find the minimum average cost.

If I know the demand function of a new product is q(p)=10 - the square root of p, and I know that the cost function is C(x)=2x+45, how do I find the unit price that maximizes profit? What is the maximum profit? And how many items are sold at the optimizin...

A container with square base, vertical sides, and open top is to be made from 200 ft^2 of material. Find the dimensions (height and length of base) of the container with greatest volume. If appropriate, leave your answer in radical form and enter all frac...

I did check. It just closed the window and I didn’t remember exactly what you said and I couldn’t find the post so I reposted. Sorry. As for my work, I tried solving for dv/dx and I get 50 - 3/(4(x^1/4)) and when I plug 0 in for that I get 81/1600000000....

Okay that makes much more sense. Sorry for misreading. Thanks for the help. I figured it out now.

So from what I have been told, q is the demand function and that can be used to find the revenue function by multiplying it by p. I’m not sure how to plug in but I plug in to the quadratic somehow. I know that the unit price that maximizes profit is at 45...

Not sure if you still need help but given what you are looking for, I believe you would look into functions such as Pe^rt. So you would probably want ∫[0,52] 50 (aka the quantity you started selling) e^(0.05(aka the rate)t)(10+0.05t)dt. Then you can solve...