An on-demand printing company has monthly overhead costs of $1200 in rent, $420 in electricity. $100 for phone service, and $200 for advertising and marketing. The priming cost is $40 per thousand Pages for paper and ink. a. Write a cost function to represent the cost C x for printing x thousand Pages for a given month. b. Write a function representing the average cost C ¯ x for printing x thousand Pages for a given month. c. Evaluate C ¯ 20 , C ¯ 50 , C ¯ 100 , and C ¯ 200 . d. Interpret the meaning of C ¯ 200 . e. For a given month, if the printing company could print an unlimited number of Pages, what value would the average cost per thousand Pages approach? What does this mean in the context of the problem?
An on-demand printing company has monthly overhead costs of $1200 in rent, $420 in electricity. $100 for phone service, and $200 for advertising and marketing. The priming cost is $40 per thousand Pages for paper and ink. a. Write a cost function to represent the cost C x for printing x thousand Pages for a given month. b. Write a function representing the average cost C ¯ x for printing x thousand Pages for a given month. c. Evaluate C ¯ 20 , C ¯ 50 , C ¯ 100 , and C ¯ 200 . d. Interpret the meaning of C ¯ 200 . e. For a given month, if the printing company could print an unlimited number of Pages, what value would the average cost per thousand Pages approach? What does this mean in the context of the problem?
An on-demand printing company has monthly overhead costs of
$1200
in rent,
$420
in electricity.
$100
for phone service, and
$200
for advertising and marketing. The priming cost is
$40
per thousand Pages for paper and ink.
a. Write a cost function to represent the cost
C
x
for printing x thousand Pages for a given month.
b. Write a function representing the average cost
C
¯
x
for printing x thousand Pages for a given month.
c. Evaluate
C
¯
20
,
C
¯
50
,
C
¯
100
,
and
C
¯
200
.
d. Interpret the meaning of
C
¯
200
.
e. For a given month, if the printing company could print an unlimited number of Pages, what value would the average cost per thousand Pages approach? What does this mean in the context of the problem?
Each horse you own eats 4 bales of hay per month. Each bale of hay costs $15.
a. Create a function called f whose input is the number of horses you own and whose
output is the number of bales of hay eaten per month. Use x as your input variable.
b. Create a function called g whose input is the number of bales of hay eaten per month
and whose output is the total cost. Use x as your input variable.
c. Create a function called / whose input is the number of horses you own and whose
output is the total cost. Use x as your input variable.
d. If you own 5 horses, use your functions f, g and h to find out how many bales of hay are
eaten per month and how much money this will cost.
e.
Draw a diagram of the three functions f, g, and h. Show the input and output of each
function, and their relationship.
BW.1
A party planner needs to figure out how much it will cost her client to rent a space and pay person for meals. If the cost of the rental space is 40,000and the price per person for food is 500. Construct a function that shows the total cost for any number of people in attendance.
University Calculus: Early Transcendentals (3rd Edition)
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