Develop the Linear Programming model. Show clearly the variables, objective function, and constraints.

- A contractor estimates that the size of the workforce needed over the next 5 weeks is 5,7,8,4, and 6 workers, respectively. Excess labor kept on the force will cost $300 per worker per week, and new hiring (including week 1) in any week will incur a fixed cost of $400 plus $200 per worker per week. - The data of the problem are: b1=5,b2=7,b3=8,b4=4,b5=6-C1(xibi)=3(xibi),xi>bi,i=1,2,-C2(xi+1xi)=4+2(xi+1xi),xi+1>xi,i=1,2, - The cost functions C1 and C2 are in hundred of dollars