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Food production company is choosing between two suppliers of grain. supplier A sells grain for $5.25 per push plus a delivery fee of $3 per bush. Supplier B sells The grain for $6.50 per bush plus delivery fee of $1500 each week, which supplier would cost more if the production company by 500 bushels of grain each week ?

Supplier B would cost $625 more than A
Supplier B would cost $600 more then A
Supplier A would cost $875 more then B
Supplier A would cost $800 more then B

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nicoblackops28

Supplier B would cost $625 more than supplier A.

A = 4125

B = 4750

4750 - 4125 = 625

carlosego

For this case, the first thing we must do is define a variable.

We have then:

x: number of bushels of grain each week

y: total cost

So, for supplier A we have:

 [tex]y = 5.25x + 3x[/tex]

Evaluating for x = 500 we have:

[tex]y = 5.25 (500) + 3 (500)[/tex]

[tex]y = 4125[/tex]

For supplier B we have:

[tex]y = 6.50x + 1500[/tex]

Evaluating for x = 500 we have:

[tex]y = 6.50 (500) + 1500[/tex]

[tex]y = 4750[/tex]

We note that the cost of supplier B is higher.

Then, the difference in the cost of both suppliers is:

 [tex]4750 - 4125 = 625[/tex]

Answer:

Supplier B would cost $ 625 more than A

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