timing income. A local group of scouts has been collecting aluminum cans for rec

Question

timing income. A local group of scouts has been collecting aluminum cans for recycling. Th group has already collected cans for recycling. The group has already collected 12,000 pounds of cans, for which they could currently receive $4 per hundred pounds. The group can continue to collect cans at the rate of 400 pounds per day. However, a glut in the aluminum market has caused the recycling company to announce that it will lower its price, starting immediately by 0.10 per hundred pound per day. The scouts can make only one trip to the recycling center. Find the best time for the rip. What total income will be received?

Your help in solving this is greatly appreciated...

Explanation / Answer

This is a optimization problem where you want to find the highest point (most money) To calculate the total made you take (can #) * price --- using numbers per hundred cans x= days can # = 120+4x price = 4-.1x y=(120+4x)(4-.1x) You can graph it and find the highest point at (5,490) making 5 days (the x value) the answer

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