An entrepreneur builds and sells computers in his store. His cost per computer is $550 after start-up costs of $10,000. His revenue for selling each computer is $1199.99. Assume that he sells every computer he builds. Recall and use the complete function definition form whenever it says "Define a function."
a. Define a function f that expresses his total cost as a function of x, the number of computers he builds.
b. Define a function g that expresses his total revenues as a function of x, the number of computers he sells.
c. Use function notation to represent how much the store's revenue changes as the number of computers sold increases from 11 to 14.
d. Use function notation to represent how much his costs change for building c additional computers after having previously built d computers.
e. Define a function h that expresses his total profit as a function of x, the number of computers built and sold. Here your definition should be in terms of function notation for f and/or g.
f. Write the definition for function h again, but this time with a rule expressed in terms of x that calculates the profit
g. What's the least number of computers must he sell in order to not lose money in his venture? This number of computers is called the 'break even' point.