Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb.The estimated demand for the cookies is 1,000,000 1-lb containers.The setup cost for each production run is $250, and the manufacturing cost is $.30 for each container of cookies.The cost of storing each container of cookies over the year is $.20. Assuming uniformity of demand throughout the year and instantaneous production, how many containers of cookies should Neilsen produce per production run in order to minimize the production cost?
Hint: Show that the total production cost is given by the function .
Then minimize the function on the interval (0, 1,000,000).
A)50,000
B)40,000
C)45,000
D)35,000

Question

Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb.The estimated demand for the cookies is 1,000,000 1-lb containers.The setup cost for each production run is $250, and the manufacturing cost is $.30 for each container of cookies.The cost of storing each container of cookies over the year is $.20. Assuming uniformity of demand throughout the year and instantaneous production, how many containers of cookies should Neilsen produce per production run in order to minimize the production cost?
Hint: Show that the total production cost is given by the function  .
Then minimize the function  on the interval (0, 1,000,000).
A)50,000 
B)40,000 
C)45,000 
D)35,000

Quizplus · Accepted Answer

The Answer of Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb.The estimated demand for the cookies is 1,000,000 1-lb containers.The setup cost for each production run is $250, and the manufacturing cost is $.30 for each container of cookies.The cost of storing each container of cookies over the year is $.20. Assuming uniformity of demand throughout the year and instantaneous production, how many containers of cookies should Neilsen produce per production run in order to minimize the production cost?
Hint: Show that the total production cost is given by the function  .
Then minimize the function  on the interval (0, 1,000,000).
A)50,000 
B)40,000 
C)45,000 
D)35,000

Neilsen Cookie Company Sells Its Assorted Butter Cookies in Containers