Answer:
The shop can cut the cost of production per sandwich to $3.75. The revenue function would then be defined as R(x)=9x.
Step-by-step explanation:
We want to make as big profit as possible by making as little sandwiches as possible. This means that we want the profit, which is 
to be as big as possible.
For the first choice the profit per sandwich is 
dollars.
For the second choice the profit per sandwich is 
dollars.
For the third choice the profit per sandwich is 
dollars.
We see here that for the second choice the profit is greatest, therefore this choice is most suitably correct.
Here BD is perpendicular bisector
So
Apply Pythagorean theorem
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)
Answer:
120 miles
Step-by-step explanation:
120minutes= 2hour
2×60÷1=120 (miles)
Answer:
24.9π
Step-by-step explanation:
Curcle Area=πR^2
A= πR^2 × 140°/360°
A= π×8^2 × 0.389 =~ 78.15
