9514 1404 393
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:
alo
Step-by-step explanation:
wait for me it seems so hard
Answer: Between 8 and 9, they have made 20.
Between 9 and 10, then have made 26
Step-by-step explanation: since im in midddle school and you probaly wouldnt want to get an answer from a child i can assure you this is correct and to get my answer i just added some of the numbers with its exponets
73℅ of 58
= (73/100) × 58
= (73×58)/100
= 4234/100
= 42.34
Given
To simplify this expression the first step is to solve the multiplication between the terms in parentheses by applying the distributive property of multiplication. This means that you have to multiply each term of the first parentheses by each term of the second parentheses:
Next is to simplify the like terms to determine the simplified form
The correct option is B.