Problem 2: You have been selected to participate in a series season of Survivor.

ID: 386414 • Letter: P

Question

Problem 2: You have been selected to participate in a series season of Survivor. You are allowed to carry a backpack with a limited amount of supplies. Your backpack has five slots. Each slot can carry four small food items, three medium food items, or one large food item. Each item provides a different amount of sugar and protein, two nutritional factors key to survival success. It is your goal to determine the number of each item to carry in your pack. It's recommended that you carry at least 3,000 grams of sugar and 900 grams of protein, though to aid in your survival you would like to maximize the total grams of sugar and protein in your pack Additional suggestions from the producers include: You must carry at least 1 bottle of water * Sugar and Protein values for each item are shown on the next page.

Explanation / Answer

To maximize the values of sugarand protein the following combination of food can be carried:

(Instead of water we can take Gatorade to maximize the sugar value)

ITEM

NUMBER OF PACKS

SUGAR (grams)

PROTEIN (grams)

POCKET 1

GATORADE

500

POCKET 2

PEANUTS

700

400

POCKET 3

TRAIL MIX

600

480

POCKET 4

PROTEIN BAR

400

560

POCKET 5

CANNED TUNA

825

150

TOTAL

3025

1650