6 cases ordered
'p' jars in each case
Total number of jars is (6 cases) x (p jars/case) = 6p jars
Split 7 ways, each restaurant gets (1/7) of the total order = 6p/7 jars.
I sure hope 'p' is a multiple of 7, or else Harrison might
need to deal with the number of pickles in each jar.
Answer:
(B)The expression (5n)(9-p) is the product
(D)The expression 9-p has exactly two terms
Step-by-step explanation:
In the expression;
The coefficient of m is 1, therefore Option A is not true
The product of 5n and 9-p is (5n)(9-p), therefore Option B is true.
The expression 9-p has exactly two terms,9 and p.
Therefore, Options B and D are true.
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:
6x + 5/6
Step-by-step explanation:
2(x + 1/4) + 2(2x + 1/3)
2x + 1/2 + 4x + 2/3
6x + 5/6
