Hilmar Cheese What you always wanted to know about cheese production, but were afraid to ask… Name __________________________________________ Date ___________________________________________ FACTS The facility employs 1,200 people. Hilmar Cheese is the largest single-site cheese producer in the world. 21 million pounds of milk are processed/day (from 230 dairies) 2.4 million pounds of cheese are produced each day 139,000 pounds of whey protein/day 388,000 pounds of lactose powder/day Each cow needs ______________ pounds of feed/day and a bathtub of water __________________ gallons of milk/silo. This is _____________________ glasses of milk. __________________gallons of milk/cheese vat The storage room holds cheese crates that weight ____________________________. Jersey cows make, on average, 6 gallons of milk each day. Source:http://www.hilmarcheese.com/Visitor_Center/Tour/Virtual_Video_Tour/ ANSWER the questions below. You will need to make tables and graphs to support your answers. a) If a single Jersey cow makes 6 gallons of milk/day, and one gallon of milk weighs about 8 pounds, how many cows does it take to make 21 million pounds of milk?___________________________ How much feed is required/day to feed all of those cows?_____________________________ Make a graph that shows this proportional relationship (cows vs feed). Be sure that your graph includes enough cows to make 21 million pounds of milk. b) If 21 million pounds of milk are needed to make 2.4 million pounds of cheese, how many pounds of milk are needed to make a single pound of cheese? Make a graph. Calculate the unit rate (pounds of cheese vs pounds of milk). Write an equation to find how much milk you would need if you wanted to make a particular amount of cheese. How many cows are needed to make this much milk? How much feed is this? c) If the factory makes 2.4 million pounds of cheese/day, how many crates of cheese do they have to store each day? (Hint: you will have to know how much a crate of cheese weighs) If the average storage time for cheese is 8 months, how many crates of cheese do they have to store at a single time? 1. Each step of simplifying an expression is shown. On the line provided, write the name of the property used in the simplification process or what the expression would be. Step 1: 7x + (3x + 8) + (2x + 4) Original expression Step 2: (7x+ 3x) + 8 + (2x + 4) _________________________ Step 3: ___________________________ Combining like terms Step 4: 10x + 8 + (4 + 2x) _________________________ Step 5: 10x + (8 + 4) + 2x _________________________ Step 6: _____________________ Combining units Step 7: _____________________ Commutative property Step 8: _____________________ Combining like terms