A manufacturing company is engaged in producing three types of products: A, B, and C. The production department produces each day components sufficient to make 50 units of A, 25 units of B, and 30 units of C. The management is confronted with the problem of optimizing the daily production of products in assembly department where only 100 man hrs are available daily to assemble the products. The following additional information is available.
Type of product Profit contribution per unit (Birr) Assembly time per product (hrs)
12 0.8
20 1.7
45 2.5
Required:
Formulate the problem as LPM so as to maximize the total profit?
Solve the problem using the simplex method
Calculate the value of Slack
