We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following price-demand and revenue functions. p(x) = 110 - 3x Price demand function
R(x) = xp(x) = x(110 - 3x) Revenue demand function

Where p(x) is the wholesale price in dollars at which x million chips can be sold, and R(x) is in millions of dollars. Both Functions have domain.

a. Find the output that will produce the most revenue.
b. What is the maximum revenue?
c. What is the wholesale price per chip that produces the maximum revenue?

The answer is below

Step-by-step explanation:

Revenue is the value of all sales of goods and services. It is the total income gotten from the sale of a product. Revenue is the product of the number of items and the price per item.

Given that x = number of items, p(x) = 110 - 3x (price per item)

Revenue (R(x)) = xp(x) = x(110 - 3x)

R(x) = 110x - 3x²

The maximum revenue is at R'(x) = 0. Hence:

R'(x) = 110 - 6x

110 - 6x = 0

6x = 110

x = 18.33

a) The maximum revenue is when 18.33 million chips are produced.

b) R(18.33) = 18.33(110 - 3*18.33) = $1.008 billion

c) p(18.33) = 110 - 3(18.33) =110 - 55 = $55

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17