Directions: Complete all problems and Show all work. 1. Sparky Casting makes high quality concrete mouldings for use in residential and commercial applications. A particular decorative 12\" crown moulding costs $1250 for set up plus $55.25 per lineal foot to manufacture. They sell the crown moulding at $95.25 per lineal foot. a. If represents the number of lineal feet manufactured, find the function () representing the cost of manufacturing b. Find (50) and explain what it means in the context of the problem c. Find the function () representing revenue generated from the sale of the moulding. d. Find (50) and explain what it means in the context of the problem e. How many lineal feet do they need to sell before they make a profit? (Note: they sell in fractions of a foot). 2. The table below shows the inputs and outputs for a function () 1 3 5 7 9 a. b. () 2.3 2.9 3.5 4.1 4.7 Is () a linear function? Why or why not? What is the slope of the line joining = 3 and = 7? Directions: Complete all problems and Show all work. 1. Sparky Casting makes high quality concrete mouldings for use in residential and commercial applications. A particular decorative 12\" crown moulding costs $1250 for set up plus $55.25 per lineal foot to manufacture. They sell the crown moulding at $95.25 per lineal foot. a. If represents the number of lineal feet manufactured, find the function () representing the cost of manufacturing b. Find (50) and explain what it means in the context of the problem c. Find the function () representing revenue generated from the sale of the moulding. d. Find (50) and explain what it means in the context of the problem e. How many lineal feet do they need to sell before they make a profit? (Note: they sell in fractions of a foot). 2. The table below shows the inputs and outputs for a function () 1 3 5 7 9 a. b. () 2.3 2.9 3.5 4.1 4.7 Is () a linear function? Why or why not? What is the slope of the line joining = 3 and = 7