Develop a LP and spreadsheet model for Problem $23$ at the end of Chapter $3$ in the Ragsdale portion of your book.

What is the minimum transportation cost if the rental car company optimizes shipments between locations? The Rent$-$A$-$Dent car rental company allows its customers to pick up a rental car at one location and

return it to any of its locations. Currently, two locations $(1$ and $2)$ have $16$ and $18$ surplus cars,

respectively, and four locations $,$ and $6)$ each need $10$ cars. The costs of getting the surplus cars

from locations $1$ and $2$ to the other locations are summarized in the following table.

Because $34$ surplus cars are available at locations $1$ and $2,$ and $40$ cars are needed at locations $3,4,5,$ and

$6,$ some locations will not receive as many cars as they need. However, management wants to make sure

that all the surplus cars are sent where they are needed, and that each location needing cars receives at

least five.

a$.$ Formulate an LP model for this problem

b$.$ Create a spreadsheet for this problem and solve it using Solver.

c$.$ What is the optimal solution

"The question below is the most important $*$

d$.$ What is the minimum transportation cost if the rental car company optimizes shipments

between locations?