Cost The ordering and transportation cost C (in hundreds of dollars) for an automobile dealership is modeled by C = 10 ( 1 x + x x + 3 ) , x ≥ 1 where x is the number of automobiles ordered. (a) Find the open intervals on which C is increasing or decreasing. (b) Use a graphing utility to graph the cost function. (c) Use the trace feature to determine the order sizes for which the cost is $900. Assuming that the revenue function is increasing for x ≥ 0 , which order size would you use? Explain your reasoning.
Cost The ordering and transportation cost C (in hundreds of dollars) for an automobile dealership is modeled by C = 10 ( 1 x + x x + 3 ) , x ≥ 1 where x is the number of automobiles ordered. (a) Find the open intervals on which C is increasing or decreasing. (b) Use a graphing utility to graph the cost function. (c) Use the trace feature to determine the order sizes for which the cost is $900. Assuming that the revenue function is increasing for x ≥ 0 , which order size would you use? Explain your reasoning.
Solution Summary: The author explains how to calculate the open intervals in which C is increasing or decreasing, and the ordering and transportation cost (in hundreds of dollars) for an automobile dealership.
Cost The ordering and transportation cost C (in hundreds of dollars) for an automobile dealership is modeled by
C
=
10
(
1
x
+
x
x
+
3
)
,
x
≥
1
where x is the number of automobiles ordered.
(a) Find the open intervals on which C is increasing or decreasing.
(b) Use a graphing utility to graph the cost function.
(c) Use the trace feature to determine the order sizes for which the cost is $900. Assuming that the revenue function is increasing for
x
≥
0
, which order size would you use? Explain your reasoning.
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