A...............................................................
Answer:
63 units
Step-by-step explanation:
The profit function P(x) is given by the revenue function minus the cost function:

The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:

The number of units that should be manufactured so that profit is maximum is 63 units.
8x^2 = 96x
8x^2 - 96x = 0
8x(x - 12) = 0
8x = 0....x = 0
x - 12 = 0
x = 12
ur number is 12
Answer:
Step-by-step explanation:
Remark
You could do this by converting the distance but the much more common way is to use kg and m.
Formula
PE = m * g * h
Givens
m = 40000 grams
m = 40000 grams * 1kg/1000 grams = 40 kg
g = 9.81
h = 35 m
Solution
PE = 40 * 9.81 * 35
PE = 13734 Joules
Answer: 20
Step-by-step explanation:
The base square is 4 x 4, which is 16. That part is easy, but the other part needs more thinking.
We have two more visible full squares, which we can add on to our 16, putting it at 18. But that half squares, we have 4 total have squares. We know that 1/2 + 1/2 = 1
So, 1/2 + 1/2 + 1/2 + 1/2 = 2.
We eventually get 16 (original square) + 2 (two other full squares) + 2 (half squares) resutling in 20.