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
In that 16 minutes, the amount that leaks out is (8 - 6) = 2 gallons.
The average unit rate of the leak is
(2 gal)/(16 min) = (2/16) (gal/min) = 1/8 gal/min
= 16 fluid ounce per min
= 4/15 fl oz per second
Answer:
Let x = # of hot dogs sold
Let x + 31 = # of sodas sold
For the total, do: x + x + 31 = 173
2x + 31 = 173
-31 -31
2x = 142
Divide out both sides by 2; to get: x - 71
That gives us 71 hot dogs; and 71 + 31 = 102 sodas
To test this: 71 + 71 + 31 = 173
173 = 173 [Check]
Step-by-step explanation:
its above up there
Answer:
6
Step-by-step explanation:
4 * x + 12= 36
-12 -12
4x = 24
x= 6