Maximum Profit Assignment | Assignment Help Services
Consider the function f(x)=(5x^2)/(x^2-2x+1)a. Find the x – and y – intercepts of f, if any.2. Forbes ranked Boise as the 15th fastest growing US city in January 2013 with a relative growth rate of 1.7% per year. Assuming the population continues to increase exponentially at this rate, how many years will it take for Boise’s current population of approximately 206,000 to double? (Round to the nearest tenth of a year.)3. a. Find the interval(s) where f(x)= x^4 – 2x^3 + 3 is increasing and the interval(s) where it is decreasing.
b. Determine the intervals where the graph of f is concave upward and where it is concave downward.4. Find the absolute maximum and minimum values, if any, for the function, f(x)=x^4 – 2x^3 +3 on the interval [-1, 3].5. A manufacturer of tennis rackets finds the total cost, C(x), in dollars of manufacturing x rackets per day is given by: C(x)=400+4x+0.0001x^2Each racket can be sold at a price of p dollars, where p is related to x by the demand equation: p=10 – 0.0004xIf all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer. What is the maximum profit?6.
A publishing company sells 50,000 copies of a certain book at a uniform rate. It costs the company $2 to store one book for one year. Each time the company prints additional copies, it costs $500 to set up the printing presses. How many books should the company produce during each printing in order to minimize its total storage and set-up costs