Question

A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a delivery fee of $3 per bushel. Supplier B sells the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week. Which supplier would cost more if the production company bought 500 bushels of grain each week?

Answer 1

We let x be the number of bushels of grain bought each week.

The cost if Supplier A is chosen is represented by:
CA = 5.25x + 3x

The cost if Supplier A is chosen is represented by:
CB = 6.50x + 1500

If x = 500

Then,
CA = 5.25(500) + 3(500)
CA = $4,125

CB = 6.50(500) + 1500
CB = $4,750

Supplier A could cost more if the production company bought 500 bushes of grain each week