A rock company uses five types of rocks to fill six orders. The phosphate content, availability of each type of rock, and the production cost per pound for each rock are listed in the file P04_76.xlsx, as well as the size of each order and the minimum and maximum phosphate percentage in each order. What is the minimum total cost?

Rock orders
Rock type	Cost/lb	% phosphate	Amount (lbs)
1	$1.00	2.0%	8000
2	$5.00	5.0%	6000
3	$5.50	4.5%	7000
4	$2.00	3.0%	4000
5	$1.20	6.0%	4500
Order	1	2	3	4	5	6
Size (lbs)	5000	6000	5000	3500	5500	3500
Min % phosphate	3.5%	3.8%	4.0%	3.6%	3.3%	3.7%
Max % phosphate	4.4%	4.6%	4.7%	4.8%	4.7%	4.8%