Two vending machines sit side by side in a college dorm. One machine sells Coke products, and the other sells Pepsi products. Daily sales of Coke products, based on the prices of the products in the two machines, can be modeled as S(c, p) = 196.42p - 50.2c + 9.6c + 66.4 - 1.04cp cans when Coke products cost c dollars and Pepsi products cost p dollars. (a) Calculate the rate of change of the sale of Coke products with respect to the price of Coke products when Coke products cost $0.75 and Pepsi products cost $1.25. cans per dollar (b) Calculate the rate of change of the sale of Coke products with respect to the price of Pepsi products when Coke products cost $0.75 and Pepsi products cost $1.25. cans per dollar (c) Calculate the two rates of change as as (c, p)= (1.80, 1.70) (c, p) = (1.80, 1.70) = = Interpret the rate of change as (c, p) = (1.80, 1.70) When the price of Coke products is $ (Round number of cans to the nearest integer.) and the price of Pepsi products is $ products increases by $1 while the price of Pepsi constant, then the daily sale of Coke products will decrease by approximately price of Coke Interpret the rate of change as as and (c, p) = (1.80, 1.70) ap (c, p) = (1.80, 1.70) as ap (c, p) = (1.80, 1.70) When the price of Coke products is $ (Round number of cans to the nearest integer.) and the price of Pepsi products is $ price of Pepsi products increases by $1 while the price of Coke constant, then the daily sale of Coke products will increase if the products remains cans. by approximately if the products remains cans.