The Miller Company uses skilled and unskilled labor to do a particular construction projects. The cost of doing the project depends on the number of hours of skilled labor and the number of hours of unskilled labor that are used, the relationship being:
C=4-3X1-4X2+2X1^2+3X2^2+X1X2
WHERE C IS THE COST, X1 IS THE NUMBER OF HOURS OF SKILLED LABOR, AND X2 IS THE NUMBER OF HOURS OF UNSKILLED LABOR
Find the number of hours of skilled labor and the number of hours of unskilled labor that will minimize the cost of doing the project. What is the minimum cost If the Miller Company has to purchase costing 20 to do this project, will this alter the answer to part a? If so, by how much? Will this alter the answer to part b? If so, by how much?