Johnson City Cooperage Manufactures 30-Gallon and 55-Gallon Fiber Drums

Johnson City Cooperage manufactures 30-gallon and 55-gallon fiber drums. Each 30-gallon drum takes 30 minutes to make, each 55-gallon drum takes 40 minutes to make, and the company has at most 10,000 minutes available each week. Also, workplace limitations and product demand indicate that the number of 55-gallon drums produced plus half the number of 30-gallon drums produced should be at least 160, and the number of 30-gallon drums should be at least twice the number of 55-gallon drums. If Johnson City Cooperage's manufacturing costs are $4.4 for each 30-gallon drum and $6.9 for each 55-gallon drum, how many of each drum should be made each week to satisfy the constraints at minimum cost? Find the minimum cost. ​

A) Minimum cost of $1,243.50 when 165 30 - gallon drums and 75 55 - gallon drums are produced.
B) Minimum cost of $1,256.00 when 160 30 - gallon drums and 80 55 - gallon drums are produced.
C) Minimum cost of $1,390.00 when 65 30 - gallon drums and 160 55 - gallon drums are produced.
D) Minimum cost of $1,421.50 when 80 30 - gallon drums and 155 55 - gallon drums are produced.
E) Minimum cost of $1,281.00 when 150 30 - gallon drums and 90 55 - gallon drums are produced.