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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?

Sagot :

Liam0720idn

This is a tricky math problem! Let's break it down step-by-step.

First, let's start with Matt. Mandy can get 100 kg of corn cobs for $160, so her cost per kilogram is $1.60. If she sells each kilogram for $5, her profit per kilogram is $3.40.

Now, let's look at Robert. If Mandy buys in bulk, she can get each corn cob for $0.60. To make a profit of $3.40 per kilogram, she would need to sell each cob for $1.

Marcangelocutabugaraidn

Answer:

In this scenario, the best profit per corn cob Mandy can make is by buying in bulk from Matt, even though the cost per cob might seem higher at first glance. Here's why:

Cost Analysis:

Matt (bulk purchase):

Total cost: $160 for 100 kilograms

Cost per kilogram: $160 / 100 kg = $1.6 per kg

We need to estimate the number of cobs per kilogram. This depends on the corn variety, but let's assume an average of 12.5 cobs/kg. (This is a common assumption, but the actual number may vary.)

Cost per cob: $1.6/kg * 1 kg/12.5 cobs ≈ $0.128 per cob (approximately)

Robert (large quantities):

Cost per cob: $0.60

Selling Price:

Mandy sells by weight: $5 per kilogram or $1.25 per cob

Profit Comparison:

Profit from Matt: $1.25 selling price - $0.128 cost per cob ≈ $1.12 per cob (approximately)

Profit from Robert: $1.25 selling price - $0.60 cost per cob = $0.65 per cob

Conclusion:

Even though Robert's cost per cob seems lower ($0.60), Mandy makes a higher profit per cob by buying from Matt ($1.12) because of the lower cost per kilogram when buying in bulk. This is because she can sell more cobs from the 100 kilograms purchased from Matt compared to buying individual cobs from Robert at $0.60 each.

Note: The actual profit per cob from Matt might differ slightly depending on the exact number of cobs per kilogram.

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