I'm a bit lost in this problem.:
The Mom and Pop Ice Cream Company makes two kinds of chocolate ice cream: regular and premium. The properties of 1 gallon (gal) of each type are show in the table:
Type - Regular - Premium
Flavoring - 24 oz - 20 oz
Milk-fat products - 12 oz - 20 oz
Shipping weight - 5 lbs - 6 lbs
Profit - 0.75 cents - 0.90cents
In addition, current commitments require the company to make at least 1 gal of premium for every 4 gals of regular. Each day, the company has available 725 pounds (lb_ of flavoring and 425 lb of milk-fat products. If the company can ship no more than 3000 lb of product per day, how many gallons of each type should be produced daily to maximize profit?
What I have so far is (I'm not sure if it's correct! :( )
Let x be number of gallons of regular ice cream and
Let y be number of gallons of premium ice cream
Objective Function: M = 0.75x + 0.90y
I think I'm supposed to do something with that 1:4 ratio...when I try to get the x and y intercepts I get decimals/fractions.
Any help is appreciated. Thanks.
EDIT: Okay so my teacher said to convert the oz to lbs. Since 1 lb = 16 oz, I get the following intercepts:
How do I even plot that on a graph ?_?