Caytee’s Confections produces white chocolate chips and milk chocolate chips at its plants in Elizabeth City and Asheville.
If x represents the days at the Elizabeth City plant and y the days at the Asheville plant, which object function should Caytee's Confections use to minimize their costs?

P(x,y) = 7000x + 5000y

P(x,y) = 5000x + 7000y

P(x,y) = 1500x + 1000y

P(x,y) = 1000x + 1500y

Question

Caytee’s Confections produces white chocolate chips and milk chocolate chips at its plants in Elizabeth City and Asheville.
If x represents the days at the Elizabeth City plant and y the days at the Asheville plant, which object function should Caytee's Confections use to minimize their costs?

		
P(x,y) = 7000x + 5000y

		
P(x,y) = 5000x + 7000y

		
P(x,y) = 1500x + 1000y

		
P(x,y) = 1000x + 1500y

anonymous · Answer

The Elizabeth City plant produces 3000 pounds of white chips and 2000 pounds of milk chocolate chips each day.
The Asheville plant produces 1000 pounds of white chips and 6000 pounds of milk chocolate chips each day. 
The Elizabeth City plant has a daily production cost of $1000.
The Asheville plant has a daily production cost of $1500.
Caytee’s Confections has an order from Super Sam Supermarkets for at least 30,000 pounds of white chips and 60,000 pounds of milk chocolate chips.