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Answer:
- f(x) = -0.15x^2 +19.8x -11 . . . profit function
- $642.40 maximum daily profit
- 66 gallons sold
- $10.90 per gallon
Step-by-step explanation:
<u>Given</u>:
daily cost function c(x) = x +11
price-demand function p(x) = -0.15x +20.8
<u>Find</u>:
daily profit function
maximum daily profit
quantity sold for maximum profit
price for maximum profit
<u>Solution</u>:
The revenue is the product of price and demand:
x·p(x) = -0.15x^2 +20.8x
The profit is the difference between revenue and cost:
f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11
f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function
__
The maximum profit will be had a the vertex of the curve, found where ...
x = -(19.8)/(2(-0.15)) = 66
f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40
The maximum profit is $642.40, when 66 gallons of ice cream are sold.
__
The price that will result in demand of 66 gallons of ice cream is ...
p(66) = -0.15(66) +20.8 = 10.9
The price to charge per gallon to maximize profit is $10.90.
Answer:
a. .0554
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The probability of success is .06.
This means that
What is the probability of two successes in seven trials?
This is P(X = 2) when n = 7. So
The correct answer is given by option a.
Answer:
Step-by-step explanation:
Let
x ----> the measure of one angle of the triangle
y ---> the measure of the smallest angle
z ----> the measure of the third angle
we know that
The sum of the measure of the interior angles in any triangle must be equal to 180 degrees
-----> equation A
one angle is 130 degrees more than the smallest angle
----> equation B
the third angle is 3 times as large as the smallest angle
---> equation C
substitute equation B and equation C in equation A
solve for y
Find the value of x
Find the value of z
therefore
He will travel 55km In 2.5 hours at a rate of 22kmph
Answer:
F
Step-by-step explanation: