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.
If you divide 9/2 you receive 4.5. Tho when you divide 1/3 you get .33333 (repeated), so now you know that both the fractions do not correlate. Now the 'multiples' of 1/3 are 2/ 6, 3/9, 4/12, 5/15, 6/18, 7/21 and so on. If you do the 'multiples' of 2/9 you get 4/18, 6/27. The common factors are 4/18 and 6/18. So know you know that Sandy is using 2/18 (or 1/9) cups more of sugar.
42 is the answers I the problem
Answer:
The answer is 5.
Step-by-step explanation:
17 / 4 + 3 / 4 =
(17 × 4) + (3 × 4)
4 × 4 = 80 / 16 =
80 ÷ 16
16 ÷ 16
= 5
Hope this helps!
