Step-by-step explanation:
Pork sandwiches: 2 , 6 , 10 , 14
goes by 4
Chicken Sandwiches: 5 , 15 , 25 , 35
goes by 10
A) Demand function
price (x) demand (D(x))
4 540
3.50 810
D - 540 810 - 540
----------- = -----------------
x - 4 3.50 - 4
D - 540
----------- = - 540
x - 4
D - 540 = - 540(x - 4)
D = -540x + 2160 + 540
D = 2700 - 540x
D(x) = 2700 - 540x
Revenue function, R(x)
R(x) = price * demand = x * D(x)
R(x) = x* (2700 - 540x) = 2700x - 540x^2
b) Profit, P(x)
profit = revenue - cost
P(x) = R(x) - 30
P(x) = [2700x - 540x^2] - 30
P(x) = 2700x - 540x^2 - 30
Largest possible profit => vertex of the parabola
vertex of 2700x - 540x^2 - 30
When you calculate the vertex you find x = 5 /2
=> P(x) = 3345
Answer: you should charge a log-on fee of $2.5 to have the largest profit, which is $3345.
Answer:
13.7 cm
Step-by-step explanation:
- there are 360° in a circle and in this image, we can see 90°+90°+66.4°=260.4
- since we know that 360°-260.4°=99.6°
- The angle measure of arc AD is 99.6°
Now that we covered that, we can use the arc length formula in order to find the length of arc AD.
- arc length = 2πr(Θ/360°)
- 2π(7.9)(99.6°/360°) = 13.7329
- rounded to the nearest tenth = 13.7
Answer:
x=5, y=-3
Step-by-step explanation:
we can find the answer by plugging in x=3y+14 to the second equation
5(3y+14)-2y=31
simplify
15y+70-2y=31
13y=-39
y=-3
now, plug in this to the initial equation x=3y+14
x=3(-3)+14
x=-9+14
x=5
The external tangent is line s
