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4) Inventory control: Lenhen Vinters imports a certain brand of beer. The demand for beer over a year is 80,000 cases/year. The cost to ordering a shipment of beer is $50, the cost of storing each case of beer for a year is $2.00, and each case of beer costs them $35 to purchase. (Assume the storage cost is based on the average number in storage at any time in the year.) Find the following. a) Give the simplified function that represents the total inventory cost (circle this). Be sure to state what the variable x represents. CLEARLY state the understood domain of the function that you are using. X is Understood Domain is b) How many cases of imported beer should they order in each shipment and how many orders need to be placed over the year to minimize the total inventory cost? Use calculus to solve this problem. You must verify your answer yields a minimum cost based on your domain. SHOW all work and put your answers in the spaces provided. Number of cases per shipment Number of shipments per year The minimum total inventory cost is Verification test and explain the results clearly

4) Inventory control: Lenhen Vinters imports a certain brand of beer. The demand for beer over a year is 80,000 cases/year. The cost to ordering a shipment of beer is $50, the cost of storing each case of beer for a year is $2.00, and each case of beer costs them $35 to purchase. (Assume the storage cost is based on the average number in storage at any time in the year.) Find the following. a) Give the simplified function that represents the total inventory cost (circle this). Be sure to state what the variable x represents. CLEARLY state the understood domain of the function that you are using. X is Understood Domain is b) How many cases of imported beer should they order in each shipment and how many orders need to be placed over the year to minimize the total inventory cost? Use calculus to solve this problem. You must verify your answer yields a minimum cost based on your domain. SHOW all work and put your answers in the spaces provided. Number of cases per shipment Number of shipments per year The minimum total inventory cost is Verification test and explain the results clearly

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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4) Inventory control: Lenhen Vinters imports a certain brand of beer. The demand for beer over a year is 80,000 cases/year. The cost to ordering a shipment of beer is $50, the cost of storing each case of beer for a year is $2.00, and each case of beer costs them $35 to purchase. (Assume the storage cost is based on the average number in storage at any time in the year.) Find the following. a) Give the simplified function that represents the total inventory cost (circle this). Be sure to state what the variable x represents. CLEARLY state the understood domain of the function that you are using. X is Understood Domain is b) How many cases of imported beer should they order in each shipment and how many orders need to be placed over the year to minimize the total inventory cost? Use calculus to solve this problem. You must verify your answer yields a minimum cost based on your domain. SHOW all work and put your answers in the spaces provided. Number of cases per shipment Number of shipments per year The minimum total inventory cost is Verification test and explain the results clearly
Transcribed Image Text:4) Inventory control: Lenhen Vinters imports a certain brand of beer. The demand for beer over a year is 80,000 cases/year. The cost to ordering a shipment of beer is $50, the cost of storing each case of beer for a year is $2.00, and each case of beer costs them $35 to purchase. (Assume the storage cost is based on the average number in storage at any time in the year.) Find the following. a) Give the simplified function that represents the total inventory cost (circle this). Be sure to state what the variable x represents. CLEARLY state the understood domain of the function that you are using. X is Understood Domain is b) How many cases of imported beer should they order in each shipment and how many orders need to be placed over the year to minimize the total inventory cost? Use calculus to solve this problem. You must verify your answer yields a minimum cost based on your domain. SHOW all work and put your answers in the spaces provided. Number of cases per shipment Number of shipments per year The minimum total inventory cost is Verification test and explain the results clearly
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