a food production company is choosing between two suppliers of grain. supplier a sells grain for $5.25 per…

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?\nsupplier b would cost $625 more than supplier a.\nsupplier b would cost $600 more than supplier a\nsupplier a would cost $875 more than supplier b.\nsupplier a would cost $800 more than supplier b.

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?\nsupplier b would cost $625 more than supplier a.\nsupplier b would cost $600 more than supplier a\nsupplier a would cost $875 more than supplier b.\nsupplier a would cost $800 more than supplier b.

Answer

Explanation:

Step1: Calculate cost of Supplier A

The cost per - bushel of Supplier A is the sum of the grain price and the delivery fee per - bushel. So the cost per bushel is $5.25 + 3=$8.25$. For 500 bushels, the total cost $C_A$ is $C_A=8.25\times500 = 4125$ dollars.

Step2: Calculate cost of Supplier B

The cost per - bushel of Supplier B is $6.50$ dollars per bushel and a flat delivery fee of $1500$ dollars per week. For 500 bushels, the total cost $C_B$ is $C_B=6.50\times500+1500=3250 + 1500=4750$ dollars.

Step3: Find the cost difference

The difference in cost $\Delta C=C_B - C_A$. Substitute the values of $C_A$ and $C_B$: $\Delta C=4750−4125 = 625$ dollars. Since $C_B>C_A$, Supplier B costs more than Supplier A by $625$ dollars.

Answer:

Supplier B would cost $625$ more than supplier A.