A baseball team plays in a stadium that holds 52,000 spectators. With ticket prices at $10, the average attendance had been 49,000. When ticket prices were lowered to $8, the average attendance rose to 51,000. (a) Find the demand function (price p as a function of attendance x), assuming it to be linear.p(x) =       (b) How should ticket prices be set to maximize revenue? (Round your answer to the nearest cent.)$

A family plan  for a cell phone has a monthly price of $75 plus $10.99 for each additional family member added beyond the primary account holder. The linear function to model the monthly cost C(x) in ($) of a family for x additional family members added is C(x)=

Show that the following  function has exactly one critical point. Use Newton’s method to obtain an approximation to the critical point of f(x), by calculating the first iteraton x1​ with x0=0. f(x)=ex+2x2+x

As Sales Manager for ISeeYou Productions, you are planning to review the prices you charge clients for television advertisement development. You currently charge each client a development fee of $9,000. With this pricing structure, ISeeYou is able to sign 24 contracts per month. This is down from 56 contracts, which was the figure last year when your company charged each client only $5,000. (a) Construct a linear function that yields the development fee p that ISeeYou should charge in order to sign g contracts per month. p(q) = (b) Find the total revenue R ISeeYou obtains by signing q contracts. R(g) = (c) The costs to ISeeYou Productions are estimated as follows: Fixed costs: $80,000 per month 1,000g dollars (when g contracts are signed) Variable costs: Express ISeeYou Productions' monthly cost as a function the number q of contracts. C(a) = (d) Express ISeeYou Productions' monthly profit as a function of the number q of contracts. P(g) = (e) How many contracts could ISeeYou sign to…