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
Multiply across to get (3 x 7) / 8 which is 21 / 8
Which is 2 full boxes of paper clips and 5 / 8 in the other box.
Answer:
the coordinates of equations
1.4x+y=-7
for x =0
f(0,y)=4(0)+y=-7
y=-7
for y=0
f(x,0)=4x+0=-7
4x=-7
x=-7/4
2.x-y=2
for x=0
f(0,y)=0-y=2
-y=2
y=-2
for y=0
f(x,0)=x-0=2
x=2
graph all of the equations coordinates or you can look the image
so the answers are : {-3,-1}
CMIIW