A.
Operating cost = $750
Working hours per day = 10
Total working hours per week = 70
Number of cases produced per hour = 50
So, number of cases produced in a week = 50 × 70 = 3500
If x is the manufacturing cost per hour, then
Manufacturing cost for 3500 cases produced in a week = 3500x.
Total cost = Operating cost + Manufacturing cost
Hence, total cost C(x) = 750 + 3500x.
B.
Number of cases produced in 1 hour = 50
Number of cases produced in t hours = 50t.
Cost per case = $6.
Amount of cases produced in t hours x(t) = 6 × 50t = 300t.
C.
C(x(t)) = C(300t) = 750 + 300t.
