A company machines and drills twocastings X and Y. The time required tomachine and drill one casting includingmachine set - up time is as follows :
|
Casting
|
Machine Hours
|
Drilling Hours
|
| X |
4 |
2 |
| Y |
2 |
5 |
There are two lathes for machining andthree drilling machines. The working weekis of 40 hours ; there is no lost time and overtime. Variable costs for both castings are Rs120 per unit while total fixed costs amountto 1000 per week. The selling price ofcasting X is Rs 300 per unit and that of Y is360 per unit. There are no limitations onthe number of X and Y casting that can besold. The company wishes to maximize itsprofit. Formulate a linear programming model for the problem