Inventory Control A company anticipates there will be a demand for 20,000 copies of a certain book during the next year/. It costs the company $0.50 to store a book for 1 year. Each time it must print additional books, it costs $200 to set up the equipment. NOTE: We assume that the demand is uniform. Let x = number of books printed during each printing run y = number of printing runs Use this information to answer questions 1-5 1) The total setup cost for the year is___________y 2) Since we assume the demand is uniform, the number of books in storage between printing runs will decrease from x to_______. The average number in storage for each day is x/2 3) Since it costs $0.50 to store a book for one year, the total storage cost is__________x. Use decimal form. 4) The total cost is the sum of the setup cost and storage cost, so C=______y+____________x 5) In order to write the total cost as a function of one variable, we must find a relationship between x and y. Since the company prints x books in each of the y printing runs, the total number of books printed is xy, so we must have xy =____________ . We can use this to express y as a function of x.
Inventory Control
A company anticipates there will be a demand for 20,000 copies of a certain book during the next year/. It costs the company $0.50 to store a book for 1 year. Each time it must print additional books, it costs $200 to set up the equipment.
NOTE: We assume that the demand is uniform.
Let
- x = number of books printed during each printing run
- y = number of printing runs
Use this information to answer questions 1-5
1) The total setup cost for the year is___________y
2) Since we assume the demand is uniform, the number of books in storage between printing runs will decrease from x to_______.
The average number in storage for each day is x/2
3) Since it costs $0.50 to store a book for one year, the total storage cost is__________x.
Use decimal form.
4) The total cost is the sum of the setup cost and storage cost, so C=______y+____________x
5)
In order to write the total cost as a function of one variable, we must find a relationship between x and y. Since the company prints x books in each of the y printing runs, the total number of books printed is xy, so we must have
xy =____________ .
We can use this to express y as a function of x.
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