CALCULUS

A doohickey producer wants to find the minimum cost necessary to manufacture doohickeys. The manufacturer expects to make 5600 doohickeys at a steady rate during the next year. Production runs of the same number of doohickeys will be evenly spaced throughout the year. The cost for each production run is $175. Carrying costs, based on the average number of doohickeys in stock, amount to $1 per doohickey. Let x be the number of doohickeys made per production run and r be the number of production runs during the year.
Determine the number of production runs per year and the number o

Question

CALCULUS 

A doohickey producer wants to find the minimum cost necessary to manufacture doohickeys. The manufacturer expects to make 5600 doohickeys at a steady rate during the next year. Production runs of the same number of doohickeys will be evenly spaced throughout the year. The cost for each production run is $175. Carrying costs, based on the average number of doohickeys in stock, amount to $1 per doohickey. Let x be the number of doohickeys made per production run and r be the number of production runs during the year.
Determine the number of production runs per year and the number o