Build and Grow is a chain of five hardware stores serving southern Alabama and Mississippi. Each morning at 6:00, five large trucks are loaded at the warehouse with orders from each store. Given loading times at the warehouses and unloading time at the stores, the shipments are received at the stores by 1:00 P.M. and the trucks return to the warehouse by 5:00 P.M., where they are prepared for the next day’s operations.
Each truck usually goes out full, but, on occasion, there may be some excess capacity. Around 2:30 each afternoon, large vans travel between stores transferring goods that are needed by one and in excess supply at another.
On April 23, the store at location 5 in the following network requested 500 50-pound bags of Topper Mulch from the warehouse after the delivery trucks from the warehouse to locations 4 and 5 had already left. No other store could spare any Topper Mulch for location 5. However, there was spare capacity in the trucks that had not yet left from the warehouse to stores 1,2, and 3 of 200, 200, and 150 bags, respectively. This situation is depicted in the network for problem 17, along with the corresponding capacities left in the vans traveling between stores.
Will location 5 be able to receive the 500 bags of Popper Mulch by the end of the day? If not, how many bags will it receive? How will the bags be transported?