The perimeter of the rectangle is 120
Answer:
The maximum profit of $ 10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.
Step-by-step explanation:
Profit = Revenue - Cost
P(x) = R(x) -C(x)
= -31.72x^2 + 2,030x
-( -126.96x + 26,391)
Distribute the minus sign
= -31.72x^2 + 2,030x+126.96x - 26,391
Combine like terms
= -31.72 x^2 + 2156.96 x - 26391
This is a parabola. It is facing downwards. The maximum profits is at the vertex ( where the max is)
vertex = h = -b/2a = -(2156.96)/(2*-31.72) = -2156.96/-63.44=34
Evaluate P(x) at x=34 to determine the profit
P(34) = -31.72 (34)^2 + 2156.96 (34) - 26391
-36668.32+73336.64-26391
10277.32
It's not clear if this is a right triangle or not. I'm going to assume its any kind of triangle. The third side c is restricted such that...
a - b < c < a + b
4.8 - 0.23 < c < 4.8 + 0.23
4.57 < c < 5.03
If c was allowed to be any real number, then we'd have infinitely many solutions for c. However, we're told that c is a whole number. The only whole number between 4.57 and 5.03 is 5
So c = 5 is the only integer solution
Final Answer: 5
