Question

A restaurant sells three sizes of shakes. The small, medium and large sizes each cost $2.00, $3.00, and $3.50 respectively. Let X represent the restaurant's income on a randomly selected shake purchase. Based on previous data, here's the probability distribution of X along with summary statistics. Express the cost of making x small boxes, y medium boxes, and z large boxes as a function of three variables: C = f(x, y, z)

Answer 1

C = 2x + 3y + 3.5z

Step-by-step explanation:

a) Data and Calculations:

Let x = small boxes

y = medium boxes

z = large boxes

Cost of x = $2.00

Cost of y = $3.00

Cost of z = $3.50

The cost of making x small boxes, y medium boxes, and z large boxes as a function of three variables: C = f(x, y, z)

C = 2x + 3y + 3.5z

b) In this function, the mathematical relationship expresses the value of a single dependent variable, C, as determined by the values of the independent variables x, y, and z, which are the number of the small, medium, and large sizes of shakes that the restaurant sells. Mathematically, a function means that the dependent variable is determined by the independent variable(s).