You are an architect working on constructing an 80 square meter bungalow house situated on a 120 square meter lot. You’re contemplating in hiring skilled and unskilled workers for your project. The number of skilled workers should be greater or equal to the number of unskilled workers. You estimated that a group consisting of 10 workers will be able to do the job in 6 months. However, every additional group of 10 workers will reduce the building time by a month. You estimated that 3 groups will be the maximum number of groups you will hire. The monthly wage of a skilled worker is P12, 400 while an unskilled worker is P10, 000. How many will you hire to minimize your labor cost?
a. What will be your objective function?
b. What are the constraints needed in the problem?
c. Determine the vertices of the feasible region.
d. What will be the minimum cost for labor?