Answer
a) C(0) = 5000 ; The cost of manufacturing 0 computers is 5000 dollars.
b) C(10) = 19,000 ; The cost of manufacturing 10 computers is 19,000 dollars.
c) C(50) = 51,000 ; The cost of manufacturing 50 computers is 51,000 dollars.
d) Domain of C = {x :0 ≤ x ≤ 100} ; There are at most 100 computers manufactured in a day.
e) The shape increases gradually for the first three days and then suddenly increases.
f) The graph appears somewhat exponential as the slope begins to quickly increase as time goes on.
Work Step by Step
a) C(0) = 5000 ; The cost of manufacturing 0 computers is 5000 dollars.
b) C(10) = 19,000 ; The cost of manufacturing 10 computers is 19,000 dollars.
c) C(50) = 51,000 ; The cost of manufacturing 50 computers is 51,000 dollars.
d) Domain of C = {x :0 ≤ x ≤ 100} ; There are at most 100 computers manufactured in a day.
e) The shape increases gradually for first three days and then sudden in increase in the graph.
f) The graph around the inflection point, the slope change its sign.
