A software company is working on two new IT projects – Project A (Mobile App) and Project B (Web Portal). Each project generates profit contributions of Rs. 20,000 per unit for Project A and Rs. 30,000 per unit for Project B. Both projects require resources from three specialized departments: Design
A software company is working on two new IT projects – Project A (Mobile App) and Project B (Web Portal). Each project generates profit contributions of Rs. 20,000 per unit for Project A and Rs. 30,000 per unit for Project B. Both projects require resources from three specialized departments: Design (D1), Programming (D2), and Testing (D3). Project A requires 3 hours of design department, 5 hours of programming department and 2 hours of testing department while Project B requires 3 hours of design department, 2 hours of programming department and 6 hours of testing department. The available time in hours per week are 36, 50 and 60 for the department of design, programming and testing respectively. Formulate this problem as a L.P.P. How should the company schedule his production in order to maximize contribution? Use simplex method.[10]
Profit per unit: Project A = Rs. 20,000; Project B = Rs. 30,000 Resource requirements (hours per unit): Department Project A Project B Available ------------ Design (D1) 3 3 36 Programming (D2) 5 2 50 Testing (D3) 2 6 60 Let $x1$ = units of Project A, $x2$ = units of Project B. $$\text{Max } Z = ...