Elite Catering charges $400 to plan a banquet plus $20 per plate. Society Catering's charges are $100 for the planning and $25 per plate. Let E(x) and S(x) represent the cost of a banquet for x persons catered by Elite and Society, respectively. (a) Find E(x) and S(x) (b) Graph E(x) and S(x) on the same set of axes. (c) Find the number of people for which the cost is the same with either company.   ??    people

The marketing department of a company estimates that the demand for a product is given by p = 100 - 0.0001x, where p is the price per unit and x is the number of units. The cost C of producing x units is given by C = 310,000 + 25x and the profit P for producing and selling x units is given by P = R - C = xp – C. Sketch the graph of the profit function. P FA 15 000 000 15 000 000 10 000 000 10 000 000 5 000 000 5000 000 1 2 3 4 5 7 8 9 1 2 3 4 5 6 8 9 1 = 100,000 1= 100,000 MacBook DII 888 F9 F8 F7 F4 F5 F3 F1 * & $ % @ # 8 9 2 3 4 T Y Q W K G H .. . - < (O

The cost C(x), where X is the number of miles driven, of renting a car for a day is $20 plus $1.00 per mile. What is the slope of the linear function and its units?: What is the yy-intercept and its units?: What is the linear function, C(x)?:

Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.