Mandy finds she can get a discount on corn cobs if she buys in bulk. She can get 100 kilograms of
corn cobs for $160 from Matt, on condition that she buys at least 100 kilograms. From another
supplier, Robert, she can buy small quantities of corn cobs (100 or less) for $1 per cob or larger
quantities (more than 100) for $0.60 per cob. Mandy charges all of her customers by weight, so she
gets $5 per kilogram of corn cobs or $1.25 for an individual corn cob. If Mandy is going to sell over
100 kilograms of corn cobs today, what is the best profit per corn cob she can make?
help this is on a selective school exam
I had a similar question to this...
From Matt, he gets corn cobs at $1.60 a kg ($160/100). She sells at $5/kg or $1.25/pc. Assuming she did not add up even a little on the per piece selling price, her selling price tells us there are 4 pcs of corn cobs in a kg ($5/1.25 =4). So, for $1.60/kg, his buying price is equivalent to $0.40/pc ($1.60/4)
She can make the best profit if she buys in kg (over 100kg) and sells it in pieces (retail).
Best Profit = selling price per pc - buying price per piece
Best profit = $1.25 - $0.40 = $0.85
From Robert, she gets at $0.60 if the quantity is over 100kg and sells at $1.25.
Best profit = $1.25 - $0.60 = $0.65
Therefore, the answer is $0.85.
Hi Helper, I really appreciate it, but how would i know if she bought it from matt or robert
ok sorry i dont mean to be rude
To find the best profit per corn cob that Mandy can make, let's compare the two options: buying in bulk from Matt or buying in smaller quantities from Robert.
Option 1: Buying in bulk from Matt:
- Price: $160 for 100 kilograms
- Cost per kilogram: $160/100 = $1.60
- Profit per kilogram: $5 - $1.60 = $3.40
Option 2: Buying in smaller quantities from Robert:
- Price for 1 cob: $1
- Price for more than 100 cobs: $0.60 per cob
- Profit per cob when selling individually: $1.25 - $1 (cost) = $0.25
- Cost of 100 cobs from Robert: $0.60 x 100 = $60
- Profit per cob when selling in bulk: $1.25 - $0.60 (cost of 1 cob) = $0.65
Since we know that Mandy is going to sell over 100 kilograms of corn cobs today, we need to compare the profit per cob when selling in bulk.
Based on the calculations, the best profit per corn cob that Mandy can make is $0.65 when buying in larger quantities from Robert. Therefore, the best option for Mandy is to buy more than 100 cobs from Robert and sell them individually for a higher profit per cob.