So I have been under a lot of stress lately and have been trying to complete things for my other units. Because of this I have neglected maths for the last two weeks (I am catching up this weekend) and I am unable to complete these online quiz questions. I am probably breaking some kind of forum rule by asking you guys for direct answers, but I would really appreciate it (as I have tried for ages and I just have no idea how to do them)
The total profit $P, generated from the production and marketing of n items of a certain product is given by
How many items should be made for maximum profit? What is the maximum profit?
P = −46800 n−6 n3+1350 n2−116
Enter your answers as a list [in square brackets] of the form: [ n, p]
for some number of items n and profit p (in dollars, but don't include the dollar sign).
2. Find the value of x that minimises
for positive x.
y = 10 x2 + 2700
In order to do that first find the derivative dy/dx.
How many critical numbers does y have, for positive x?
Recall that a critical number of a function is a value of x for which the derivative of the function is zero or doesn't exist.
What is the nature of the critical number of the previous part?
Enter m for minimum, M for maximum or i for a horizontal point of inflection.
A piece of cardboard measures 5 cm by 8 cm. Two equal squares are removed from a 5 cm side as shown below. Two equal rectangles are removed from the other corners so that the remaining material can be folded to form a rectangular box with a lid.
(image that goes with it) http://desmond.imageshack.us/Himg826...if&res=landing
You have been asked to design a can shaped like a right circular cylinder with height h and radius r. Given that the can must hold exactly 30 cm3, what values of h and r will minimise the total surface area (including the top and bottom faces)? Give your answers correct to 2 decimal places as a list [in brackets] of the form: [ h, r ]
for constants h (height), r (radius), in that order.
I would really appreciate any help given. Thankyou.