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
Well all you need to do to write the linear equation for this function. I assume you want to know, is that you must obtain 2 points, and calculate the slope, then place the info within the following form.
Y = mx + b
1 of the points has to be the y intercept, which can be obtained from the graph, and the other, any other point, which can also be the X intercept.
So, X intercept - (2,0)
Y intercept - (0,3).
Slope = y/X = 3-0/0-2
Slope = 3/-2 or -3/2.
Now put everything together in form:
Y = mx + b
Y = -3/2x + 3.
I believe this is the solution.
If you would like to know the simplified expression for 2 * (x - 5), you can find this using the following steps:
2 * (x - 5) = 2 * x - 2 * 5 = 2 * x - 10
The correct result would be <span>2 * x - 10.</span>
Step-by-step explanation:
gkhtkrkgkrkfkgfkd ???
