Thread: Last Word Problem... Quadratics (grade 11)

Here's the last question.... (I had two other threads...)


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Question:
Even though they are in refrigerated storage, apples spoil at a rate of 20 kg/mo. The September price for apples is $2.50/kg and increases $0.25/kg each month. Storage costs are $150/mo. and 1000 kg of apples are placed in storage in September. When should the apples be sold for maximum profit?

I have no idea where to start

Originally Posted by tdotodot

Here's the last question.... (I had two other threads...)


================================================== ==

Question:
Even though they are in refrigerated storage, apples spoil at a rate of 20 kg/mo. The September price for apples is $2.50/kg and increases $0.25/kg each month. Storage costs are $150/mo. and 1000 kg of apples are placed in storage in September. When should the apples be sold for maximum profit?

I have no idea where to start

As with all word problems you need to orgainze what you know and come up with a plan. You may also want to compare to a similar, but easier problem.

Here is a start. Lets look at an ultra simplifed problem. What if the apples don't spoil, storeage is free and the price does not change. How would you calculate your Revenue?

Revenue= Profit - Cost =(Price per Kg)(# of Kg of apples) - 0

Well this won't work for the problem that you have, but it is a start!

Now that we have started, how can we "fix" the above model.

So a first step would be to fix the cost. Then keep "fixing" the formula until it models what you want.

Give this a try and post what you come up with.