A. P is equal to the set containing t,v,c and d
1 answer:
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Answer:
If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.
Step-by-step explanation:
We have,
The number of oranges purchased varies directly as the price of the oranges.
If the cost of 11 oranges is $2.35.
It is required to find the cost of 18 oranges.
As their is direct relation between number and oranges and price.
So,
The cost of 1 orange is $.
For finding the cost of 18 oranges, multiply 18 by $ such that,
So, If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.
Answer:
(a) P(x) = 300 x - 3600
(b) P(340) = $ 98400
(c) At least 12 items must be sold to avoid losing money.
Step-by-step explanation:
Part (a):
The Profit function is the difference between the revenue function (R(x)) and the Cost (C(x)) function:
P(x) = R(x) - C(x)
P(x) = 384 x - [84 x + 3600]
P(x) = 384 x - 84 x - 3600
P(x) = 300 x - 3600
Part (b):
The profit on 340 items is:
P(340) = 300 (340) - 3600
P(340) = 102000 - 3600
P(340) = $ 98400
Part (c):
To avoid losing money, the profit P(x) has to be larger or equal than zero. That is:
P(x) 0
300 x -3600 0
300 x 3600
x 3600/300
x 12
So at least 12 items must be sold to avoid losing money.