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:
(y - 3)² = 12(x + 3)
Step-by-step explanation:
The focus is to the right of the vertex, so the parabola is sideways and opens to the right.
The conic form of a sideways parabola is
(y - k)² = 4p(x - h)
The vertex is at h = -3; k = 3
The focus is at (h + p, k) = (-3 + p, 3)
The vertex and focus are three units apart, so p = 3.
The equation of your parabola is
(y - 3)² = 12(x + 3)
The figure below shows the graph of your parabola with its focus and vertex.
Given:
Cost of a game = $39.99
Shipping charge = $4.85
Let,
number of video games be "n"
Now,
total cost = (cost of each game * total no. of games) + shipping charge
= $39.99n + $4.85
So, you use the above equation to find the total cost of video games.
Answer:
Step-by-step explanation:
Answer
When you put this into your calculator, you get - 7.2111. The closest point to that is L.
Answer: -7.2111 is closest to L
Answer:
Plan C will be the fastest - it will take 10 weeks
Step-by-step explanation:
Plan A will take 60 weeks
Plan B will take the longest 104 weeks
Plan D will be the fastest - it will take 12 weeks
