Mith Juice Co blends orange,apple,pineapple,grape,and cranberry juice to prodcue its beverage products. The products and their specifications are listed in the following table.
Product X: at least 40% is orange juice, no more than 15% is apple juice; at least 5% is pineapple juice, no grape juice is used, at least 25% is cranberry juice. The selling price per gallon is 3.05.
Product Y: no more than 25% is orange juice, at least 10% is apple juice, no pineapple juice is used, at least 25% is grape juice, no more than 5 % is cranberry juice. The selling price per gallon is $3.75
Product Z: no more than 10% is orange juice, no apple juice is used, at least 25% is pineapple juice; no more than 5 % is grape juice, at least 15 % is cranberry juice. The selling price per gallon is 3.15
The company has purchased and paid for 995,000 gallons of orange juice, 450,000 gallons of apple juice, 155,000 gallons of pineapple juice, 200,0000 gallons of grape juice and 550,000 gallons of cranberry juice.
Set up and list the linear program that can maximize the revenue for this case.