A quarry uses five types of rocks to fulfill four orders. The gypsum content, availability of each type of rock, and the production cost per pound for each rock, as well as the size of each order and the minimum and maximum gypsum percentage in each order, are given below. Rock type-------Cost-------% gypsum-------Amount Available 1-------------------$1.00-----------2.0%-----------500 2-------------------$5.00-----------5.0%-----------600 3-------------------$5.50-----------4.5%-----------700 4-------------------$2.00-----------3.0%-----------400 5-------------------$1.20-----------6.0%-----------450 Order No.--------------------1----------2----------3---------4 Order Size------------------500------600------500------350 Min % gypsum-----------3.5%-----3.8%-----4.0%-----3.6% Max % gypsum----------4.4%-----4.6%-----4.7%-----4.8% What is the cheapest way to fill the orders?
A quarry uses five types of rocks to fulfill four orders. The gypsum content, availability of each type of rock, and the
production cost per pound for each rock, as well as the size of each order and the minimum and maximum gypsum percentage in each order, are given below.
Rock type-------Cost-------% gypsum-------Amount Available
1-------------------$1.00-----------2.0%-----------500
2-------------------$5.00-----------5.0%-----------600
3-------------------$5.50-----------4.5%-----------700
4-------------------$2.00-----------3.0%-----------400
5-------------------$1.20-----------6.0%-----------450
Order No.--------------------1----------2----------3---------4
Order Size------------------500------600------500------350
Min % gypsum-----------3.5%-----3.8%-----4.0%-----3.6%
Max % gypsum----------4.4%-----4.6%-----4.7%-----4.8%
What is the cheapest way to fill the orders?
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