Question

A man owns two building supply stores, one on the east side and one on the west side of a city. Two customers order some 1/2 -inch plywood. Customer A needs 50 sheets and customer B needs 70 sheets. The east-side store has 80 sheets and the west-side store has 45 sheets of this plywood in stock. The east-side store's delivery costs per sheet are $0.50 to customer A and $0.60 to customer B. The west-side store's delivery costs per sheet are $0.40 to A and $0.55 to B. How many sheets should be shipped from each store to each customer to minimize delivery costs?

Answer 1

To minimize delivery costs, customer A should receive all 50 sheets from the west-side store, and customer B should receive all 70 sheets from the west-side store.

Step-by-step explanation:

To minimize delivery costs, we need to determine how many sheets should be shipped from each store to each customer. Let's start with customer A:

- If all 50 sheets are shipped from the east-side store, the delivery cost would be 50 * $0.50 = $25.

- If all 50 sheets are shipped from the west-side store, the delivery cost would be 50 * $0.40 = $20.

We can see that it is cheaper to ship all 50 sheets from the west-side store. Therefore, customer A should receive all 50 sheets from the west-side store. Now, let's move on to customer B:

- If all 70 sheets are shipped from the east-side store, the delivery cost would be 70 * $0.60 = $42.

- If all 70 sheets are shipped from the west-side store, the delivery cost would be 70 * $0.55 = $38.50.

It is cheaper to ship all 70 sheets from the west-side store. Therefore, customer B should receive all 70 sheets from the west-side store.