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
Answer:
- the point
- the line
- the plane
Step-by-step explanation:
:D
Answer:
The range is [-11, ∞).
Step-by-step explanation:
f(x)=3x^2+6x-8
This is a parabola which opens upwards.
Convert to vertex form:
= 3(x^2 + 2x) - 8
= 3 [ (x + 1)^2 - 1] - 8
= 3(x + 1)^2 - 3 - 8
= 3(x + 1)^2 - 11.
The minimum value is -11 so the range is [-11, ∞).
Step-by-step explanation:
A 4x25=100 10x10=100 making 100 a common multiple of 4 and 10.