1. given the demand function q=272-5p, calculate the elasticity of demand when p=40 2.the total cost to produce x handcrafted wagons is c(x)=100+7x-x^2 +7x^3. Find the marginal cost when x=3 3.The price per share of a stock can be approximated by the function S(t)=t(244t)+27, where t is time (in years) since the stock was purchased. Find the average price of the stock over the first 5 years. Round the answer to two decimal places if necessary. 4. Find the price p per unit that produces the maximum profit P if c(x)=45+28x and p=40-2x