Word Problem # 1: 1) You recently watched an episode of “Fear of Zombies,” and have decided to better prepare your home for the impending outbreak. You own a 1400 sq foot home, on a half-acre lot (that is roughly square). The home is situated in Enchanted Lakes area of Kailua, Hawaii. You and your housemates have decided on the following three immediate improvements: a) You want to build a wall that is eight feet high, made out of concrete. You estimate the wall needs to be somewhere between 12 and 18 inches thick, with steel reinforcements. You want the wall to encircle the property, except for an area near the driveway (you’ll put a metal gate there). b) You want to design a water tower that can supply you and your housemates with enough water to last two months (notice I did not tell you how many housemates you have). The tower must also be high enough for you to see for eight miles around your property (or up to the mountains, whichever is closer). c) You want to build as food storage area, with enough space to store food for six months for all of your housemates. You have three options for food “kits” – (1) MREs, (2) Canned items, (3) Whatever you could get from a trip(s) to COSTCO. 2) You and your housemates have $87,500 dollars saved up, and don’t have the ability to take out a loan or any other means for getting additional funds (i.e. – you only get $87,500). 3) Answer the following questions: a) How much money will the concrete wall cost if it is 12 inches thick? b) How much money will the concrete wall cost if it is 18 inches thick? c) Develop a formula so you can determine the cost of the wall as a function of its width. d) What is the minimum height the water tower must be? e) How many gallons of water must the tank hold? f) Develop a formula to determine how long the water will last as a function of the number of housemates (for all housemates water must last two months). g) How much will the water tower cost? h) How larger (dimensions width, length, height) must the food storage area be? i) Develop a formula to determine how much food you need (for six months) as a function of the number of housemates. Hint – calories count. j) How much will the food cost for all housemates for six months? k) Do you have enough money for all three improvements? If not, how many housemates can your $87,500 support?