Suppose that c(x) = x³ – 20x2 + 20, 000x is the cost of manufacturing x items. Find the production level that will minimize the average cost of making x items.

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

Suppose a company's profits are given by P = x^2 y, where x is the amount of money they spend on TV advertising, and y is the amount of money they spend on internet advertising. In total, this company will spend 12 (million) dollars on advertising (that is, TV plus internet). How much should they spend on each type to maximize profits? NOTE: You can just use 12 instead of 12.000,000 in your computations.

The value of a car decreases each year. The rate at which the value decreases is called depreciation and is a represented by a percentage. For Alina buys a car for $25,000, and the depreciation rate is 25%. That means that her car’s value goes down by 25% each year. The value can be represented by the function V(y)=25000(0.75)^v, where V represents the value of her car and y represents the number of years that she owns a car. Find the depreciated value of her car if she keeps it for 5 years. In other words, evaluate: V(5)=25000(0.75)^5, rounding to the proper decimal place for money.