Answer:
Amy should produce 2 pitchers to maximize profit and the maximum profit will be $18.
Step-by-step explanation:
Amy can produce china pitchers at a cost of $3 each.
She estimates the price function that can be represented by
p = 20 - 4x
Let she sells the number of x pitchers in a week.
Then the selling price of x pitchers will be = $x(20 - 4x)
Cost price of x pitchers = $3x
Profit (P) = Selling price - Cost price
= x(20 - 4x) - 3x
= 20x - 4x²- 3x
= 17x - 4x²
To maximize the profit,
P' = 17 - 8x = 0
8x = 17
x = 2.125
x ≈ 2
Therefore, 2 pitchers should be produced.
Profit = 17x - 4x²
= 17(2) - 4(2)²
= 34 - 16
= $18
Answer:
Explained below.
Step-by-step explanation:
A compound event is an event in which has possible outcomes more than one.
To determine the probability of compound events on has to compute the sum of the probabilities of all the individual events and, if required, remove any coinciding probabilities.
Examples of compound events are:
- The events of roll a five using a 6-sided die
.
The number of favorable outcome is rolling a 5, is 1.
The total number of outcomes of rolling a die is 6.
Then the probability of rolling a 5 is 1/6.
- The events of pulling a heart out of a standard deck of cards
The number of favorable outcome of pulling a heart is 13.
The total number of outcomes is 52.
The probability of pulling a heart from a standard deck is 13/52 or 1/4.
Thus, the procedure is to compute the sum of the probabilities of all the individual events and, if required, remove any coinciding probabilities.
Answer:
1 as the number of trials increases, experimental probability is closer to theoretical probability
4 as the number of trials increases, there is no change in the theoretical probabilities
Step-by-step explanation:
Umm if your talking about half of 1000 then its 500