Unit Five (Part 1) Ap Calculus Take-Home Packet 5 Optimization Math Worksheet printable pdf download

Unit Five (Part 1) Ap Calculus Take-Home Packet 5 Optimization Math Worksheet

Unit Five (Part 1)

AP Calculus Take-Home Packet

Optimization

Name:_________________________________________________Date:_______________Period:______

SAVE THE PUPS!

One of the world's most adorable marine mammals is at risk of extinction. Your marine mammal research

team has received a $1,000 grant to carry out an intervention to increase its population by this time next

year. Your goal then is to maximize the population one year from now, hoping to publish a breakthrough

paper and get more funding to do a bigger project to save the species.

Based on your research data, your team estimates that if M gallons of medicine and N gallons of nutrients



are added to their marine habitat, then by next year this will save

lives. (The habitat is

huge, so there is no need to worry about "overdose"). A gallon of medicine costs $25, and a gallon of

nutrients costs $5.

a) What is the cost of M gallons of medicine and N gallons of nutrients?

b) To maximize, within your budget, the number of lives saved by next year, which

combinations of medicine and nutrients would you consider putting into the habitat?

c) Which combination would you use? How many adorable marine mammals will you have

saved by this time next year?

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Unit Five (Part 1) Ap Calculus Take-Home Packet 5 Optimization Math Worksheet