100 points -

Piecewise Defined Functions
A t-shirt company is looking to buy t-shirts from a distributor. They are trying to decide which distributor would be best for them when they buy about 80 shirts for their weekly order. Justify your answer with a piece wise function and discuss what you would do if you were in charge. A review on this topic can be found in the Instruction of Piecewise Defiined functions slide 15.

Company 1:
Shirts are $11 a piece for the first 100. After the first 100 each additional shirt is $7.50.
Company 2
$12 a piece for the first 50, $9.50 each additional shirt.

Respuesta :

The function computed shows that the distributor that will be beat for them is company 1.

How to explain the function?

From the information, it can be noted that the company is trying to decide which distributor would be best for them when they buy about 80 shirts for their weekly order.

The cost from company 1 is that shirts are $11 a piece for the first 100. Therefore, the cost for 80 shirts will be:

= 80 × $11

= $880

The cost from the other company will be:

= ($12 × 50) + ($9.50 × 30)

= $600 + $285

= $885

Therefore, the function computed shows that the distributor that will be beat for them is company 1 as it is cheaper.

Learn more about functions on:

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