Answer:
a)
where 
b)
where 
c) 
Step-by-step explanation:
Sale price of chocolates = $1.80 per chocolate
Fixed cost for the Chocolate Shoppe per week = $450
Cost to produce one chocolate = $0.60
Cost to produce
chocolates = $0.60
a) Cost function to represent the total cost for the production of
chocolates :
where 
b) Revenue function to represent the revenue from the sale of
chocolates:
where 
c) Profit function to represent Charlie's profit from selling
chocolates:
Profit is nothing but revenue minus sales.

In order, square root of 17, pi, 3.01..., root 8 on 3
The second child is about 19lbsif you want to round it otherwise it's 18 something lbs, so the first child is about... 57.
If nthe shop has a mark up rate of 50% and they cost 300 to buy you multiply 300 by 50% convert 50% to decimal
so you do .5*300=150
then you add 150 to 300 which means that the shop sells the skis for 450 dollars.
Answer:
Step-by-step explanation:
Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola

This parabola has vertex at (0,100) and symmetrical about y axis.
Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.
Hence coordinates of any rectangle are

Length of rectangle = 2a and width = 
Area of rectangle = lw = 
To find max area, use derivative test.

Hence maxima when first derivative =0
i.e. when a =2
Thus we find dimensions of the rectangle are l =4 and w = 96
Maximum area = 