The cost C and revenue R functions (in dollars) for producing and selling x units of a product are c=34.5x+15000 and r=69.9x A.) Find the average profit function, p=r-c/x B.) Find the average profit using the formula in the previous question when x is 1000. Enter your answer as a dollar amount rounded to two decimals. C.) What is the limit of the average profit function as x approaches infinity?

Q: Plot the following functions 1. v y = -x|x|

A:

Q: A rectangular box is to have a square base and a volume of 30 ft3. The material for the base costs…

A:

Q: A missile is shot upward from a submarine 1280 ft below sea level as shown below. The initial…

A:

Q: The amount of money in an investment is modeled by the function A(t) = 700 (1.0198)'. The variable A…

A:

Q: The value, V, of a computer can be modeled by the function V (t) = 1, 300(.61)", where t is the…

A: The given model is: V(t)=1333(0.61)t Where, t is in years.

Q: A jogger ran 4 miles and then walked 2 miles. The average velocity running was 3 miles per hour…

A: Given  A jogger ran 4 miles and then walked 2 miles. Total time is T  The average velocity of…

Q: A car purchased for $10,000 depreciates in value by 10% per year. The car's value over time is…

A:

Q: ne volu 1 πx³. Do the following: B on with radius x IS V X Express the volume V of the balloon as a…

A: Topic:- Algebra

Q: The function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then…

A: Given

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: (d). Write the relation between nth divided differences and forward differences corresponding to the…

A:

Q: 3 (3+ x 2) 512

A:

Q: Given a revenue function R(x)=1,000+x2−e2x, calculate the average revenue when x=3. Give your…

A: Given: Revenue function given by: R(x) = 1000 + x2 - e2x To Find: Average Revenue when x = 3 Formula…

Q: The price of 1 L of gasoline is $1.85. On a level road, Bruce's car uses 0.08 L of fuel for every…

A:

Q: Using the graphs of the functions y=f(x) (red dashed line) and y = g(x) (blue solid line), evaluate…

A:

Q: a.) 500x+3500y=0

A: The original supply is, x1=500. The new supply of study tables is,  x2=150+500=650. The initial…

Q: We are to take a piece of paper and fold it in half and record the number of regions it shows. So, I…

A: To find an equation to determine the number of regions, R, as a function of a number of folds.

Q: Given S= -10T^2+4. Is S a function of T? Explain your choice using the definition of a function.

A: Given,    S= 10T² + 4   Yes, here S is function of T.  Thus, S = f(T) = 10T² + 4

Q: Find the point of diminishing returns for the revenue function

A: The objective here is to find the point of diminishing returns for the given revenue function:…

Q: Determine a function that will best match the following points: (1/2, 0), (2 ½, -2), (4 ½, 0), (7 ½,…

A: We find the Lagrange interpolating polynomial. We have: x x0=12 x1=212=52 x2=412=92 x3=712=152…

Q: Q2/ For the given function x² + y² = 4,find a) Domain and range for the function. b) Graph of the…

A:

Q: 7. A rancher want to enclose three rectangular areas in a field, one for sheep, one for cattle, and…

A: Hi, thank you for the question. Since you have posted a question with multiple subparts, as per our…

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: Mrs. Garcia rented a venue for the birthday celebration of her daughter. She paid PhP5 000 for the…

A: Given:  She paid PhP 5000 for the first 3 hours and an additional PhP 500 for every succeeding hour

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.